Phases of a phenomenological model of twisted bilayer graphene

Dodaro, J. F.; Kivelson, S. A.; Schattner, Y.; Sun, X. Q.; Wang, C.

doi:10.1103/physrevb.98.075154

Title: Phases of a phenomenological model of twisted bilayer graphene

Abstract

In this study, we propose a lattice-scale two-band generalized Hubbard model as a caricature of the electronic structure of twisted bilayer graphene. Various possible broken-symmetry phases can arise, including a nematic phase (which is a form of orbital ferromagnet) and an orbital-triplet spin-singlet superconducting phase. Lastly, concerning the mechanism of superconductivity, we propose an analogy with superconductivity in alkali-doped C₆₀ in which a violation of Hund's first rule plays a central role.

Authors:

Dodaro, J. F. ^[1]; Kivelson, S. A. ^[1]; Schattner, Y. ^[2]; Sun, X. Q. ^[1]; Wang, C. ^[1]

Stanford Univ., CA (United States). Dept. of Physics
Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Sciences

Publication Date:: Tue Aug 28 00:00:00 EDT 2018

Research Org.:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1475428

Alternate Identifier(s):: OSTI ID: 1467152

Grant/Contract Number:: AC02-76SF00515

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B

Additional Journal Information:: Journal Volume: 98; Journal Issue: 7; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE

Citation Formats


                    Dodaro, J. F., Kivelson, S. A., Schattner, Y., Sun, X. Q., and Wang, C. Phases of a phenomenological model of twisted bilayer graphene.  United States: N. p., 2018. 
Web.  doi:10.1103/physrevb.98.075154.

Copy to clipboard


                    Dodaro, J. F., Kivelson, S. A., Schattner, Y., Sun, X. Q., & Wang, C. Phases of a phenomenological model of twisted bilayer graphene.  United States.  https://doi.org/10.1103/physrevb.98.075154

Copy to clipboard


                    Dodaro, J. F., Kivelson, S. A., Schattner, Y., Sun, X. Q., and Wang, C. Tue .  
"Phases of a phenomenological model of twisted bilayer graphene".  United States.  https://doi.org/10.1103/physrevb.98.075154.  https://www.osti.gov/servlets/purl/1475428.

Copy to clipboard


                    
@article{osti_1475428,

  title        = {Phases of a phenomenological model of twisted bilayer graphene},

  author       = {Dodaro, J. F. and Kivelson, S. A. and Schattner, Y. and Sun, X. Q. and Wang, C.},

  abstractNote = {In this study, we propose a lattice-scale two-band generalized Hubbard model as a caricature of the electronic structure of twisted bilayer graphene. Various possible broken-symmetry phases can arise, including a nematic phase (which is a form of orbital ferromagnet) and an orbital-triplet spin-singlet superconducting phase. Lastly, concerning the mechanism of superconductivity, we propose an analogy with superconductivity in alkali-doped C60 in which a violation of Hund's first rule plays a central role.},

  doi          = {10.1103/physrevb.98.075154},

  journal      = {Physical Review. B},

  number       = 7,

  volume       = 98,

  place        = {United States},

  year         = {Tue Aug 28 00:00:00 EDT 2018},

  month        = {Tue Aug 28 00:00:00 EDT 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/physrevb.98.075154

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 174 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Spinor Bose Condensates in Optical Traps
journal, July 1998

Ho, Tin-Lun
Physical Review Letters, Vol. 81, Issue 4
DOI: 10.1103/PhysRevLett.81.742

Graphite, Graphene, and the Flat Band Superconductivity
journal, April 2018

Volovik, G. E.
JETP Letters, Vol. 107, Issue 8
DOI: 10.1134/S0021364018080052

Graphene Bilayer with a Twist: Electronic Structure
journal, December 2007

Lopes dos Santos, J. M. B.; Peres, N. M. R.; Castro Neto, A. H.
Physical Review Letters, Vol. 99, Issue 25
DOI: 10.1103/PhysRevLett.99.256802

Unconventional superconductivity in magic-angle graphene superlattices
journal, March 2018

Cao, Yuan; Fatemi, Valla; Fang, Shiang
Nature, Vol. 556, Issue 7699
DOI: 10.1038/nature26160

Ferromagnetism in a Narrow, Almost Half-Filled $s$ Band
journal, July 1966

Nagaoka, Yosuke
Physical Review, Vol. 147, Issue 1
DOI: 10.1103/PhysRev.147.392

Pairing symmetry of interacting fermions on a twisted bilayer graphene superlattice
journal, June 2018

Guo, Huaiming; Zhu, Xingchuan; Feng, Shiping
Physical Review B, Vol. 97, Issue 23
DOI: 10.1103/PhysRevB.97.235453

Phenomenology of the superconducting state in Sr2RuO4
journal, May 1999

Sigrist, M.; Agterberg, D.; Furusaki, A.
Physica C: Superconductivity, Vol. 317-318
DOI: 10.1016/S0921-4534(99)00053-2

Fragmented and Single Condensate Ground States of Spin-1 Bose Gas
journal, May 2000

Ho, Tin-Lun; Yip, Sung Kit
Physical Review Letters, Vol. 84, Issue 18
DOI: 10.1103/PhysRevLett.84.4031

Quantum Spin Nematic States in Bose–Einstein Condensates
journal, June 2003

Zhou, Fei
International Journal of Modern Physics B, Vol. 17, Issue 14
DOI: 10.1142/S0217979203018399

Anomaly of Optical Phonons in Bilayer Graphene
journal, October 2007

Ando, Tsuneya
Journal of the Physical Society of Japan, Vol. 76, Issue 10
DOI: 10.1143/JPSJ.76.104711

Electron-vibron interactions in charged fullerenes. I. Berry phases
journal, May 1994

Auerbach, Assa; Manini, Nicola; Tosatti, Erio
Physical Review B, Vol. 49, Issue 18
DOI: 10.1103/PhysRevB.49.12998

Polymorphism control of superconductivity and magnetism in Cs₃C₆₀ close to the Mott transition
journal, May 2010

Ganin, Alexey Y.; Takabayashi, Yasuhiro; Jeglič, Peter
Nature, Vol. 466, Issue 7303, p. 221-225
DOI: 10.1038/nature09120

Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors
journal, May 2016

Kuo, H. -H.; Chu, J. -H.; Palmstrom, J. C.
Science, Vol. 352, Issue 6288
DOI: 10.1126/science.aab0103

Degenerate three-band Hubbard model with anti-Hund’s rule interactions: A model for $A_{x} C_{60}$
journal, November 2003

Granath, Mats; Östlund, Stellan
Physical Review B, Vol. 68, Issue 20
DOI: 10.1103/PhysRevB.68.205107

Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
journal, April 2017

Lederer, Samuel; Schattner, Yoni; Berg, Erez
Proceedings of the National Academy of Sciences, Vol. 114, Issue 19
DOI: 10.1073/pnas.1620651114

Bose-Einstein Condensation with Internal Degrees of Freedom in Alkali Atom Gases
journal, June 1998

Ohmi, Tetsuo; Machida, Kazushige
Journal of the Physical Society of Japan, Vol. 67, Issue 6
DOI: 10.1143/JPSJ.67.1822

Colloquium : Modeling the unconventional superconducting properties of expanded $A_{3} C_{60}$ fullerides
journal, June 2009

Capone, Massimo; Fabrizio, Michele; Castellani, Claudio
Reviews of Modern Physics, Vol. 81, Issue 2
DOI: 10.1103/RevModPhys.81.943

Superconductivity in fullerides
journal, April 1997

Gunnarsson, O.
Reviews of Modern Physics, Vol. 69, Issue 2
DOI: 10.1103/RevModPhys.69.575

Enhancement of Superconductivity near a Nematic Quantum Critical Point
journal, March 2015

Lederer, S.; Schattner, Y.; Berg, E.
Physical Review Letters, Vol. 114, Issue 9
DOI: 10.1103/PhysRevLett.114.097001

Model for the metal-insulator transition in graphene superlattices and beyond
journal, July 2018

Yuan, Noah F. Q.; Fu, Liang
Physical Review B, Vol. 98, Issue 4
DOI: 10.1103/PhysRevB.98.045103

Electronic pair binding and Hund's rule violations in doped $C_{60}$
journal, April 2016

Jiang, Hong-Chen; Kivelson, Steven
Physical Review B, Vol. 93, Issue 16
DOI: 10.1103/PhysRevB.93.165406

The Disorder-Free Non-BCS Superconductor Cs3C60 Emerges from an Antiferromagnetic Insulator Parent State
journal, March 2009

Takabayashi, Y.; Ganin, A. Y.; Jeglic, P.
Science, Vol. 323, Issue 5921
DOI: 10.1126/science.1169163

Electronic Correlation Effects and Superconductivity in Doped Fullerenes
journal, November 1991

Chakravarty, S.; Gelfand, M. P.; Kivelson, S.
Science, Vol. 254, Issue 5034
DOI: 10.1126/science.254.5034.970

Pairing interaction near a nematic quantum critical point of a three-band ${CuO}_{2}$ model
journal, November 2014

Maier, T. A.; Scalapino, D. J.
Physical Review B, Vol. 90, Issue 17
DOI: 10.1103/PhysRevB.90.174510

Moire bands in twisted double-layer graphene
journal, July 2011

Bistritzer, R.; MacDonald, A. H.
Proceedings of the National Academy of Sciences, Vol. 108, Issue 30
DOI: 10.1073/pnas.1108174108

Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
journal, March 2018

Cao, Yuan; Fatemi, Valla; Demir, Ahmet
Nature, Vol. 556, Issue 7699
DOI: 10.1038/nature26154

Bulk superconductivity at 38 K in a molecular system
journal, April 2008

Ganin, Alexey Y.; Takabayashi, Yasuhiro; Khimyak, Yaroslav Z.
Nature Materials, Vol. 7, Issue 5, p. 367-371
DOI: 10.1038/nmat2179

Ising Model for the $λ$ Transition and Phase Separation in ${He}^{3}$ - ${He}^{4}$ Mixtures
journal, September 1971

Blume, M.; Emery, V. J.; Griffiths, Robert B.
Physical Review A, Vol. 4, Issue 3
DOI: 10.1103/PhysRevA.4.1071

Raman Spectrum of Graphene and Graphene Layers
journal, October 2006

Ferrari, A. C.; Meyer, J. C.; Scardaci, V.
Physical Review Letters, Vol. 97, Issue 18, Article No. 187401
DOI: 10.1103/PhysRevLett.97.187401

Classical Antiferromagnetism in Kinetically Frustrated Electronic Models
journal, May 2014

Sposetti, C. N.; Bravo, B.; Trumper, A. E.
Physical Review Letters, Vol. 112, Issue 18
DOI: 10.1103/PhysRevLett.112.187204

Superconductivity in hole-doped $C_{60}$ from electronic correlations
journal, November 2002

Granath, M.; Östlund, S.
Physical Review B, Vol. 66, Issue 18
DOI: 10.1103/PhysRevB.66.180501

Graphite, graphene and the flat band superconductivity, "Письма в Журнал экспериментальной и теоретической физики"
journal, January 2018

Volovik, G. E.
Письма в Журнал экспериментальной и теоретической физики, Issue 7-8
DOI: 10.7868/S0370274X18080131

Moire bands in twisted double-layer graphene
text, January 2010

Bistritzer, R.; MacDonald, A. H.
arXiv
DOI: 10.48550/arxiv.1009.4203

Model for Metal-Insulator Transition in Graphene Superlattices and Beyond
text, January 2018

Yuan, Noah F. Q.; Fu, Liang
arXiv
DOI: 10.48550/arxiv.1803.09699

Pairing symmetry of interacting fermions on twisted bilayer graphene superlattice
text, January 2018

Guo, Huaiming; Zhu, Xingchuan; Feng, Shiping
arXiv
DOI: 10.48550/arxiv.1804.00159

Superconductivity in hole-doped C60 from electronic correlations
text, January 2002

Granath, M.; Ostlund, S.
arXiv
DOI: 10.48550/arxiv.cond-mat/0203324

Superconductivity in Fullerides
text, January 1996

Gunnarsson, Olle
arXiv
DOI: 10.48550/arxiv.cond-mat/9611150

Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
text, January 1998

Ohmi, Tetsuo; Machida, Kazushige
arXiv
DOI: 10.48550/arxiv.cond-mat/9803160

Fragmented and Single Condensate Ground States of Spin-1 Bose Gas
text, January 1999

Ho, Tin-Lun; Yip, Sung Kit
arXiv
DOI: 10.48550/arxiv.cond-mat/9905339

Works referencing / citing this record:

Faithful tight-binding models and fragile topology of magic-angle bilayer graphene
journal, May 2019

Po, Hoi Chun; Zou, Liujun; Senthil, T.
Physical Review B, Vol. 99, Issue 19
DOI: 10.1103/physrevb.99.195455

Pressure-induced metal-insulator transition in twisted bilayer graphene
journal, May 2019

Padhi, Bikash; Phillips, Philip W.
Physical Review B, Vol. 99, Issue 20
DOI: 10.1103/physrevb.99.205141

Charge-transfer insulation in twisted bilayer graphene
journal, December 2018

Rademaker, Louk; Mellado, Paula
Physical Review B, Vol. 98, Issue 23
DOI: 10.1103/physrevb.98.235158

Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene
journal, April 2019

Kozii, Vladyslav; Isobe, Hiroki; Venderbos, Jörn W. F.
Physical Review B, Vol. 99, Issue 14
DOI: 10.1103/physrevb.99.144507

Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene
journal, February 2020

Julku, A.; Peltonen, T. J.; Liang, L.
Physical Review B, Vol. 101, Issue 6
DOI: 10.1103/physrevb.101.060505

Twisted Bilayer Graphene: A Phonon-Driven Superconductor
journal, June 2019

Lian, Biao; Wang, Zhijun; Bernevig, B. Andrei
Physical Review Letters, Vol. 122, Issue 25
DOI: 10.1103/physrevlett.122.257002

Symmetry, Maximally Localized Wannier States, and a Low-Energy Model for Twisted Bilayer Graphene Narrow Bands
journal, September 2018

Kang, Jian; Vafek, Oskar
Physical Review X, Vol. 8, Issue 3
DOI: 10.1103/physrevx.8.031088

Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene
journal, December 2018

Wu, Fengcheng; MacDonald, A. H.; Martin, Ivar
Physical Review Letters, Vol. 121, Issue 25
DOI: 10.1103/physrevlett.121.257001

Chiral twist on the high- $T_{c}$ phase diagram in moiré heterostructures
journal, August 2019

Lin, Yu-Ping; Nandkishore, Rahul M.
Physical Review B, Vol. 100, Issue 8
DOI: 10.1103/physrevb.100.085136

Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
journal, July 2019

Sharpe, Aaron L.; Fox, Eli J.; Barnard, Arthur W.
Science, Vol. 365, Issue 6453
DOI: 10.1126/science.aaw3780

Valence Bond Orders at Charge Neutrality in a Possible Two-Orbital Extended Hubbard Model for Twisted Bilayer Graphene
journal, October 2019

Da Liao, Yuan; Meng, Zi Yang; Xu, Xiao Yan
Physical Review Letters, Vol. 123, Issue 15
DOI: 10.1103/physrevlett.123.157601

Formation of Bloch Flat Bands in Polar Twisted Bilayers without Magic Angles
journal, February 2020

Zhao, Xing-Ju; Yang, Yang; Zhang, Dong-Bo
Physical Review Letters, Vol. 124, Issue 8
DOI: 10.1103/physrevlett.124.086401

Phonon-induced giant linear-in- $T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
journal, April 2019

Wu, Fengcheng; Hwang, Euyheon; Das Sarma, Sankar
Physical Review B, Vol. 99, Issue 16
DOI: 10.1103/physrevb.99.165112

Correlated insulating and superconducting states in twisted bilayer graphene below the magic angle
journal, September 2019

Codecido, Emilio; Wang, Qiyue; Koester, Ryan
Science Advances, Vol. 5, Issue 9
DOI: 10.1126/sciadv.aaw9770

Valley Jahn-Teller Effect in Twisted Bilayer Graphene
journal, October 2019

Angeli, M.; Tosatti, E.; Fabrizio, M.
Physical Review X, Vol. 9, Issue 4
DOI: 10.1103/physrevx.9.041010

Continuum models for twisted bilayer graphene: Effect of lattice deformation and hopping parameters
journal, May 2019

Guinea, Francisco; Walet, Niels R.
Physical Review B, Vol. 99, Issue 20
DOI: 10.1103/physrevb.99.205134

Magic of high-order van Hove singularity
journal, December 2019

Yuan, Noah F. Q.; Isobe, Hiroki; Fu, Liang
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-13670-9

Ferromagnetism and spin-valley liquid states in moiré correlated insulators
journal, July 2019

Wu, Xiao-Chuan; Keselman, Anna; Jian, Chao-Ming
Physical Review B, Vol. 100, Issue 2
DOI: 10.1103/physrevb.100.024421

Electronic phases in twisted bilayer graphene at magic angles as a result of Van Hove singularities and interactions
journal, November 2018

Sherkunov, Yury; Betouras, Joseph J.
Physical Review B, Vol. 98, Issue 20
DOI: 10.1103/physrevb.98.205151

Strong correlations and $d + id$ superconductivity in twisted bilayer graphene
journal, December 2018

Kennes, Dante M.; Lischner, Johannes; Karrasch, Christoph
Physical Review B, Vol. 98, Issue 24
DOI: 10.1103/physrevb.98.241407

Tuning superconductivity in twisted bilayer graphene
journal, January 2019

Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy
Science, Vol. 363, Issue 6431
DOI: 10.1126/science.aav1910

Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions
journal, August 2018

Zou, Liujun; Po, Hoi Chun; Vishwanath, Ashvin
Physical Review B, Vol. 98, Issue 8
DOI: 10.1103/physrevb.98.085435

Kohn-Luttinger superconductivity on two orbital honeycomb lattice
journal, December 2018

Lin, Yu-Ping; Nandkishore, Rahul M.
Physical Review B, Vol. 98, Issue 21
DOI: 10.1103/physrevb.98.214521

Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene
journal, November 2019

Lee, Jong Yeon; Khalaf, Eslam; Liu, Shang
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-12981-1

Coupled-wire description of the correlated physics in twisted bilayer graphene
journal, April 2019

Wu, Xiao-Chuan; Jian, Chao-Ming; Xu, Cenke
Physical Review B, Vol. 99, Issue 16
DOI: 10.1103/physrevb.99.161405

Cold atoms in twisted-bilayer optical potentials
journal, November 2019

González-Tudela, A.; Cirac, J. I.
Physical Review A, Vol. 100, Issue 5
DOI: 10.1103/physreva.100.053604

Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
journal, December 2018

Isobe, Hiroki; Yuan, Noah F. Q.; Fu, Liang
Physical Review X, Vol. 8, Issue 4
DOI: 10.1103/physrevx.8.041041

Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
journal, January 2019

González, J.; Stauber, T.
Physical Review Letters, Vol. 122, Issue 2
DOI: 10.1103/physrevlett.122.026801

Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene
journal, October 2019

Lu, Xiaobo; Stepanov, Petr; Yang, Wei
Nature, Vol. 574, Issue 7780
DOI: 10.1038/s41586-019-1695-0

Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain
journal, June 2019

Wu, Fengcheng; Das Sarma, Sankar
Physical Review B, Vol. 99, Issue 22
DOI: 10.1103/physrevb.99.220507

Spin liquids and pseudogap metals in the SU(4) Hubbard model in a moiré superlattice
journal, January 2020

Zhang, Ya-Hui; Mao, Dan
Physical Review B, Vol. 101, Issue 3
DOI: 10.1103/physrevb.101.035122

Internal screening and dielectric engineering in magic-angle twisted bilayer graphene
journal, October 2019

Pizarro, J. M.; Rösner, M.; Thomale, R.
Physical Review B, Vol. 100, Issue 16
DOI: 10.1103/physrevb.100.161102

The nature of correlations in the insulating states of twisted bilayer graphene
journal, March 2019

Pizarro, J. M.; Calderón, M. J.; Bascones, E.
Journal of Physics Communications, Vol. 3, Issue 3
DOI: 10.1088/2399-6528/ab0fa9

Possible nodeless s ^± -wave superconductivity in twisted bilayer graphene
journal, July 2019

Liu, Zhe; Li, Yu; Yang, Yi-Feng
Chinese Physics B, Vol. 28, Issue 7
DOI: 10.1088/1674-1056/28/7/077103

Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
journal, May 2019

Wu, Fengcheng
Physical Review B, Vol. 99, Issue 19
DOI: 10.1103/physrevb.99.195114

Inherited and flatband-induced ordering in twisted graphene bilayers
journal, October 2019

Klebl, Lennart; Honerkamp, Carsten
Physical Review B, Vol. 100, Issue 15
DOI: 10.1103/physrevb.100.155145

Superconductor versus insulator in twisted bilayer graphene
journal, September 2019

Chou, Yang-Zhi; Lin, Yu-Ping; Das Sarma, Sankar
Physical Review B, Vol. 100, Issue 11
DOI: 10.1103/physrevb.100.115128

Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene
journal, September 2018

Xu, Xiao Yan; Law, K. T.; Lee, Patrick A.
Physical Review B, Vol. 98, Issue 12
DOI: 10.1103/physrevb.98.121406

Twisted bilayer graphene aligned with hexagonal boron nitride: Anomalous Hall effect and a lattice model
journal, November 2019

Zhang, Ya-Hui; Mao, Dan; Senthil, T.
Physical Review Research, Vol. 1, Issue 3
DOI: 10.1103/physrevresearch.1.033126

Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene
journal, January 2020

Wu, Fengcheng; Das Sarma, Sankar
Physical Review Letters, Vol. 124, Issue 4
DOI: 10.1103/physrevlett.124.046403

Multiple topological transitions in twisted bilayer graphene near the first magic angle
journal, January 2019

Hejazi, Kasra; Liu, Chunxiao; Shapourian, Hassan
Physical Review B, Vol. 99, Issue 3
DOI: 10.1103/physrevb.99.035111

Strong electron-phonon coupling, electron-hole asymmetry, and nonadiabaticity in magic-angle twisted bilayer graphene
journal, December 2018

Choi, Young Woo; Choi, Hyoung Joon
Physical Review B, Vol. 98, Issue 24
DOI: 10.1103/physrevb.98.241412

Wannier pairs in superconducting twisted bilayer graphene and related systems
journal, April 2019

Ray, Sujay; Jung, Jeil; Das, Tanmoy
Physical Review B, Vol. 99, Issue 13
DOI: 10.1103/physrevb.99.134515

Electronic Compressibility of Magic-Angle Graphene Superlattices
journal, July 2019

Tomarken, S. L.; Cao, Y.; Demir, A.
Physical Review Letters, Vol. 123, Issue 4
DOI: 10.1103/physrevlett.123.046601

Interacting valley Chern insulator and its topological imprint on moiré superconductors
journal, October 2019

Wu, Xiao-Chuan; Xu, Yichen; Jian, Chao-Ming
Physical Review B, Vol. 100, Issue 15
DOI: 10.1103/physrevb.100.155138

Band structure and topological properties of twisted double bilayer graphene
journal, June 2019

Koshino, Mikito
Physical Review B, Vol. 99, Issue 23
DOI: 10.1103/physrevb.99.235406

Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach
journal, November 2018

Su, Ying; Lin, Shi-Zeng
Physical Review B, Vol. 98, Issue 19
DOI: 10.1103/physrevb.98.195101

Ferromagnetic Mott state in Twisted Graphene Bilayers at the Magic Angle
journal, June 2019

Seo, Kangjun; Kotov, Valeri N.; Uchoa, Bruno
Physical Review Letters, Vol. 122, Issue 24
DOI: 10.1103/physrevlett.122.246402

Strong Coupling Phases of Partially Filled Twisted Bilayer Graphene Narrow Bands
journal, June 2019

Kang, Jian; Vafek, Oskar
Physical Review Letters, Vol. 122, Issue 24
DOI: 10.1103/physrevlett.122.246401

High-TC Superconductivity Originating from Interlayer Coulomb Coupling in Gate-Charged Twisted Bilayer Graphene Moiré Superlattices
journal, July 2019

Harshman, Dale R.; Fiory, Anthony T.
Journal of Superconductivity and Novel Magnetism, Vol. 33, Issue 2
DOI: 10.1007/s10948-019-05183-9

Chiral Spin Density Wave and $d + i d$ Superconductivity in the Magic-Angle-Twisted Bilayer Graphene
journal, November 2018

Liu, Cheng-Cheng; Zhang, Li-Da; Chen, Wei-Qiang
Physical Review Letters, Vol. 121, Issue 21
DOI: 10.1103/physrevlett.121.217001

Nature of the Correlated Insulator States in Twisted Bilayer Graphene
journal, March 2020

Xie, Ming; MacDonald, A. H.
Physical Review Letters, Vol. 124, Issue 9
DOI: 10.1103/physrevlett.124.097601

Competing phases of interacting electrons on triangular lattices in moiré heterostructures
journal, May 2019

Classen, Laura; Honerkamp, Carsten; Scherer, Michael M.
Physical Review B, Vol. 99, Issue 19
DOI: 10.1103/physrevb.99.195120

Universal optical control of chiral superconductors and Majorana modes
journal, May 2019

Claassen, M.; Kennes, D. M.; Zingl, M.
Nature Physics, Vol. 15, Issue 8
DOI: 10.1038/s41567-019-0532-6

All Magic Angles in Twisted Bilayer Graphene are Topological
journal, July 2019

Song, Zhida; Wang, Zhijun; Shi, Wujun
Physical Review Letters, Vol. 123, Issue 3
DOI: 10.1103/physrevlett.123.036401

Enhanced correlations and superconductivity in weakly interacting partially flat-band systems: A determinantal quantum Monte Carlo study
journal, June 2019

Huang, Edwin W.; Vaezi, Mohammad-Sadegh; Nussinov, Zohar
Physical Review B, Vol. 99, Issue 23
DOI: 10.1103/physrevb.99.235128

Superconductivity from valley fluctuations and approximate SO(4) symmetry in a weak coupling theory of twisted bilayer graphene
journal, April 2019

You, Yi-Zhuang; Vishwanath, Ashvin
npj Quantum Materials, Vol. 4, Issue 1
DOI: 10.1038/s41535-019-0153-4

Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
journal, December 2018

Venderbos, Jörn W. F.; Fernandes, Rafael M.
Physical Review B, Vol. 98, Issue 24
DOI: 10.1103/physrevb.98.245103

Mean-field theory for superconductivity in twisted bilayer graphene
journal, December 2018

Peltonen, Teemu J.; Ojajärvi, Risto; Heikkilä, Tero T.
Physical Review B, Vol. 98, Issue 22
DOI: 10.1103/physrevb.98.220504

Flatbands and Perfect Metal in Trilayer Moiré Graphene
journal, July 2019

Mora, Christophe; Regnault, Nicolas; Bernevig, B. Andrei
Physical Review Letters, Vol. 123, Issue 2
DOI: 10.1103/physrevlett.123.026402

Electrostatic effects, band distortions, and superconductivity in twisted graphene bilayers
journal, December 2018

Guinea, Francisco; Walet, Niels R.
Proceedings of the National Academy of Sciences, Vol. 115, Issue 52
DOI: 10.1073/pnas.1810947115

Failure of Nielsen-Ninomiya Theorem and Fragile Topology in Two-Dimensional Systems with Space-Time Inversion Symmetry: Application to Twisted Bilayer Graphene at Magic Angle
journal, April 2019

Ahn, Junyeong; Park, Sungjoon; Yang, Bohm-Jung
Physical Review X, Vol. 9, Issue 2
DOI: 10.1103/physrevx.9.021013

Designing flat bands by strain
journal, July 2019

Bi, Zhen; Yuan, Noah F. Q.; Fu, Liang
Physical Review B, Vol. 100, Issue 3
DOI: 10.1103/physrevb.100.035448

Cleaning interfaces in layered materials heterostructures
journal, December 2018

Purdie, D. G.; Pugno, N. M.; Taniguchi, T.
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-07558-3

Origin of Magic Angles in Twisted Bilayer Graphene
journal, March 2019

Tarnopolsky, Grigory; Kruchkov, Alex Jura; Vishwanath, Ashvin
Physical Review Letters, Vol. 122, Issue 10
DOI: 10.1103/PhysRevLett.122.106405

Charge-transfer insulation in twisted bilayer graphene
text, January 2018

Rademaker, Louk; Mellado, Paula
arXiv
DOI: 10.48550/arxiv.1805.05294

Theory of phonon-mediated superconductivity in twisted bilayer graphene
text, January 2018

Wu, Fengcheng; MacDonald, A. H.; Martin, Ivar
arXiv
DOI: 10.48550/arxiv.1805.08735

Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
text, January 2018

González, J.; Stauber, T.
arXiv
DOI: 10.48550/arxiv.1807.01275

Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach
text, January 2018

Su, Ying; Lin, Shi-Zeng
arXiv
DOI: 10.48550/arxiv.1807.02196

Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
text, January 2018

Po, Hoi Chun; Zou, Liujun; Senthil, T.
arXiv
DOI: 10.48550/arxiv.1808.02482

Tuning superconductivity in twisted bilayer graphene
text, January 2018

Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy
arXiv
DOI: 10.48550/arxiv.1808.07865

Pressure-Induced Metal-Insulator Transition in Twisted Bi-layer Graphene
text, January 2018

Padhi, Bikash; Phillips, Philip
arXiv
DOI: 10.48550/arxiv.1810.00884

Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene
text, January 2018

Kozii, Vladyslav; Isobe, Hiroki; Venderbos, Jörn W. F.
arXiv
DOI: 10.48550/arxiv.1810.04159

Phonon-induced giant linear-in-$T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
text, January 2018

Wu, Fengcheng; Hwang, Euyheon; Sarma, Sankar Das
arXiv
DOI: 10.48550/arxiv.1811.04920

Coupled Wire description of the Correlated Physics in Twisted Bilayer Graphene
text, January 2018

Wu, Xiao-Chuan; Jian, Chao-Ming; Xu, Cenke
arXiv
DOI: 10.48550/arxiv.1811.08442

Enhanced correlations and superconductivity in weakly interacting partially flat band systems: a determinantal quantum Monte Carlo study
text, January 2018

Huang, Edwin W.; Vaezi, Mohammad-Sadegh; Nussinov, Zohar
arXiv
DOI: 10.48550/arxiv.1811.08848

Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
text, January 2018

Wu, Fengcheng
arXiv
DOI: 10.48550/arxiv.1811.10620

Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle
text, January 2018

Seo, Kangjun; Kotov, Valeri N.; Uchoa, Bruno
arXiv
DOI: 10.48550/arxiv.1812.02550

Magic of high order van Hove singularity
text, January 2019

Yuan, Noah F. Q.; Isobe, Hiroki; Fu, Liang
arXiv
DOI: 10.48550/arxiv.1901.05432

Designing Flat Band by Strain
text, January 2019

Bi, Zhen; Yuan, Noah F. Q.; Fu, Liang
arXiv
DOI: 10.48550/arxiv.1902.10146

Continuum models for twisted bilayer graphene: the effects of lattice deformation and hopping parameter
text, January 2019

Guinea, Francisco; Walet, Niels R.
arXiv
DOI: 10.48550/arxiv.1903.00364

Electronic Compressibility of Magic-Angle Graphene Superlattices
text, January 2019

Tomarken, S. L.; Cao, Y.; Demir, A.
arXiv
DOI: 10.48550/arxiv.1903.10492

Valley Jahn-Teller effect in twisted bilayer graphene
text, January 2019

Angeli, M.; Tosatti, E.; Fabrizio, M.
arXiv
DOI: 10.48550/arxiv.1904.06301

Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain
text, January 2019

Wu, Fengcheng; Sarma, Sankar Das
arXiv
DOI: 10.48550/arxiv.1904.07875

Superconductor versus insulator in twisted bilayer graphene
text, January 2019

Chou, Yang-Zhi; Lin, Yu-Ping; Sarma, Sankar Das
arXiv
DOI: 10.48550/arxiv.1906.10141

Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene
journal, November 2019

Lee, Jong Yeon; Khalaf, Eslam; Liu, Shang
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-12981-1

Magic of high-order van Hove singularity
journal, December 2019

Yuan, Noah F. Q.; Isobe, Hiroki; Fu, Liang
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-13670-9

Untying the insulating and superconducting orders in magic-angle graphene
journal, July 2020

Stepanov, Petr; Das, Ipsita; Lu, Xiaobo
Nature, Vol. 583, Issue 7816
DOI: 10.1038/s41586-020-2459-6

Electric-field-tunable electronic nematic order in twisted double-bilayer graphene
journal, May 2021

Samajdar, Rhine; Scheurer, Mathias S.; Turkel, Simon
2D Materials, Vol. 8, Issue 3
DOI: 10.1088/2053-1583/abfcd6

Constrained random phase approximation of the effective Coulomb interaction in lattice models of twisted bilayer graphene
journal, July 2020

Vanhala, Tuomas I.; Pollet, Lode
Physical Review B, Vol. 102, Issue 3
DOI: 10.1103/physrevb.102.035154

Light-matter coupling and quantum geometry in moiré materials
journal, August 2021

Topp, Gabriel E.; Eckhardt, Christian J.; Kennes, Dante M.
Physical Review B, Vol. 104, Issue 6
DOI: 10.1103/physrevb.104.064306

Spin-triplet superconductivity from intervalley Goldstone modes in magic-angle graphene
journal, December 2022

Kozii, Vladyslav; Zaletel, Michael P.; Bultinck, Nick
Physical Review B, Vol. 106, Issue 23
DOI: 10.1103/physrevb.106.235157

Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions
journal, August 2018

Zou, Liujun; Po, Hoi Chun; Vishwanath, Ashvin
Physical Review B, Vol. 98, Issue 8
DOI: 10.1103/physrevb.98.085435

Flatbands and Perfect Metal in Trilayer Moiré Graphene
journal, July 2019

Mora, Christophe; Regnault, Nicolas; Bernevig, B. Andrei
Physical Review Letters, Vol. 123, Issue 2
DOI: 10.1103/physrevlett.123.026402

Mechanism for Anomalous Hall Ferromagnetism in Twisted Bilayer Graphene
journal, April 2020

Bultinck, Nick; Chatterjee, Shubhayu; Zaletel, Michael P.
Physical Review Letters, Vol. 124, Issue 16
DOI: 10.1103/physrevlett.124.166601

Emergence and stability of spin-valley entangled quantum liquids in moiré heterostructures
journal, March 2020

Kiese, Dominik; Buessen, Finn Lasse; Hickey, Ciarán
Physical Review Research, Vol. 2, Issue 1
DOI: 10.1103/physrevresearch.2.013370

Correlated insulating and superconducting states in twisted bilayer graphene below the magic angle
journal, September 2019

Codecido, Emilio; Wang, Qiyue; Koester, Ryan
Science Advances, Vol. 5, Issue 9
DOI: 10.1126/sciadv.aaw9770

Chiral $p$-wave superconductivity in twisted bilayer graphene from dynamical mean field theory
journal, July 2021

Pahlevanzadeh, B.; Sahebsara, P.; Sénéchal, David
SciPost Physics, Vol. 11, Issue 1
DOI: 10.21468/scipostphys.11.1.017

Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
text, January 2018

Isobe, Hiroki; Yuan, Noah F. Q.; Fu, Liang
arXiv
DOI: 10.48550/arxiv.1805.06449

Electrostatic effects, band distortions and superconductivity in twisted graphene bilayers
text, January 2018

Guinea, Francisco; Walet, Niels R.
arXiv
DOI: 10.48550/arxiv.1806.05990

Spin-Orbital Density Wave and a Mott Insulator in a Two-Orbital Hubbard Model on a Honeycomb Lattice
text, January 2018

Zhu, Zheng; Sheng, D. N.; Fu, Liang
arXiv
DOI: 10.48550/arxiv.1812.05661

Cascade of Phase Transitions and Dirac Revivals in Magic Angle Graphene
text, January 2019

Zondiner, Uri; Rozen, Asaf; Rodan-Legrain, Daniel
arXiv
DOI: 10.48550/arxiv.1912.06150

Current-induced reversal of anomalous Hall conductance in twisted bilayer graphene
text, January 2020

Su, Ying; Lin, Shi-Zeng
arXiv
DOI: 10.48550/arxiv.2002.02611

Non-Abelian Dirac node braiding and near-degeneracy of correlated phases at odd integer filling in magic angle twisted bilayer graphene
text, January 2020

Kang, Jian; Vafek, Oskar
arXiv
DOI: 10.48550/arxiv.2002.10360

Josephson effect in graphene bilayers with adjustable relative displacement
text, January 2020

Alidoust, Mohammad; Jauho, Antti-Pekka; Akola, Jaakko
arXiv
DOI: 10.48550/arxiv.2009.10730

Critical magnetic fields and electron-pairing in magic-angle twisted bilayer graphene
preprint, January 2021

Qin, Wei; Zou, Bo; MacDonald, Allan H.
arXiv
DOI: 10.48550/arxiv.2102.10504

Similar Records in DOE PAGES and OSTI.GOV collections:

Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene

Journal Article Venderbos, Jörn W. F. ; Fernandes, Rafael M. - Physical Review. B

The recent observation of superconductivity in proximity to an insulating phase in twisted bilayer graphene (TBG) at small “magic” twist angles has been linked to the existence of nearly flat bands, which make TBG a fresh playground to investigate the interplay between correlations and superconductivity. The low-energy narrow bands were shown to be well described by an effective tight-binding model on the honeycomb lattice (the dual of the triangular Moiré superlattice) with a local orbital degree of freedom. In this paper, we perform a strong-coupling analysis of the proposed (p_x,p_y) two-orbital extended Hubbard model on the honeycomb lattice. By decomposingmore »« less
Cited by 123
https://doi.org/10.1103/physrevb.98.245103

Full Text Available
Pairing symmetry of twisted bilayer graphene: A phenomenological synthesis

Journal Article Lake, Ethan ; Patri, Adarsh S. ; Senthil, T. - Physical Review. B

One of the outstanding questions in the study of twisted bilayer graphene—from both experimental and theoretical points of view—is the nature of its superconducting phase. In this paper we perform a comprehensive synthesis of existing experiments, and argue that experimental constraints are strong enough to allow the structure of the superconducting order parameter to be nearly uniquely determined. In particular, we argue that the order parameter is nodal, and is formed from an admixture of spin-singlet and spin-triplet Cooper pairs. This argument is made on phenomenological grounds, without committing to any particular microscopic model of the superconductor. Existing data ismore »« less
https://doi.org/10.1103/physrevb.106.104506

Full Text Available
Nematic superconductivity in twisted bilayer graphene

Journal Article Chichinadze, Dmitry V. ; Classen, Laura ; Chubukov, Andrey V. - Physical Review. B

Twisted bilayer graphene displays insulating and superconducting phases caused by exceptional flattening of its lowest energy bands. Superconductivity with highest T_c appears near half filling of the valence band (n≈-2). The data show that in the large part of the superconducting dome near n=-2, threefold lattice rotation symmetry is broken in the superconducting phase, i.e., a superconductor is also a nematic. We perform a comprehensive analysis of superconductivity in twisted-bilayer graphene within an itinerant approach and present a mechanism for nematic superconductivity. We take as an input the fact that at dopings, where superconductivity has been observed, the Fermi energymore »« less
Cited by 56
https://doi.org/10.1103/physrevb.101.224513

Full Text Available
Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene

Journal Article Po, Hoi Chun ; Zou, Liujun ; Vishwanath, Ashvin ; ... - Physical Review. X

A remarkable recent experiment has observed Mott insulator and proximate superconductor phases in twisted bilayer graphene when electrons partly fill a nearly flat miniband that arises a “magic” twist angle. However, the nature of the Mott insulator, the origin of superconductivity, and an effective low-energy model remain to be determined. We propose a Mott insulator with intervalley coherence that spontaneously breaks U(1) valley symmetry and describe a mechanism that selects this order over the competing magnetically ordered states favored by the Hund’s coupling. We also identify symmetry-related features of the nearly flat band that are key to understanding the strongmore »« less
Cited by 468
https://doi.org/10.1103/PhysRevX.8.031089
Pseudospin Paramagnons and the Superconducting Dome in Magic Angle Twisted Bilayer Graphene

Journal Article Huang, Chunli ; Wei, Nemin ; Qin, Wei ; ... - Physical Review Letters

We present a theory of superconductivity in twisted bilayer graphene in which attraction is generated between electrons on the same honeycomb sublattice when the system is close to a sublattice polarization instability. The resulting Cooper pairs are spin-polarized valley singlets. Because the sublattice polarizability is mainly contributed by interband fluctuations, superconductivity occurs over a wide range of filling fraction. It is suppressed by (i) applying a sublattice polarizing field (generated by an aligned BN substrate) or (ii) changing moiré band filling to favor valley polarization. The enhanced intrasublattice attraction close to sublattice polarization instability is analogous to enhanced like-spin attractionmore »« less
https://doi.org/10.1103/physrevlett.129.187001

Full Text Available

Similar Records

Title: Phases of a phenomenological model of twisted bilayer graphene

Abstract

Citation Formats

Spinor Bose Condensates in Optical Traps journal, July 1998

Graphite, Graphene, and the Flat Band Superconductivity journal, April 2018

Graphene Bilayer with a Twist: Electronic Structure journal, December 2007

Unconventional superconductivity in magic-angle graphene superlattices journal, March 2018

Ferromagnetism in a Narrow, Almost Half-Filled s Band journal, July 1966

Pairing symmetry of interacting fermions on a twisted bilayer graphene superlattice journal, June 2018

Phenomenology of the superconducting state in Sr2RuO4 journal, May 1999

Fragmented and Single Condensate Ground States of Spin-1 Bose Gas journal, May 2000

Quantum Spin Nematic States in Bose–Einstein Condensates journal, June 2003

Anomaly of Optical Phonons in Bilayer Graphene journal, October 2007

Electron-vibron interactions in charged fullerenes. I. Berry phases journal, May 1994

Polymorphism control of superconductivity and magnetism in Cs3C60 close to the Mott transition journal, May 2010

Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors journal, May 2016

Degenerate three-band Hubbard model with anti-Hund’s rule interactions: A model for A x C 60 journal, November 2003

Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point journal, April 2017

Bose-Einstein Condensation with Internal Degrees of Freedom in Alkali Atom Gases journal, June 1998

Colloquium : Modeling the unconventional superconducting properties of expanded A 3 C 60 fullerides journal, June 2009

Superconductivity in fullerides journal, April 1997

Enhancement of Superconductivity near a Nematic Quantum Critical Point journal, March 2015

Model for the metal-insulator transition in graphene superlattices and beyond journal, July 2018

Electronic pair binding and Hund's rule violations in doped C 60 journal, April 2016

The Disorder-Free Non-BCS Superconductor Cs3C60 Emerges from an Antiferromagnetic Insulator Parent State journal, March 2009

Electronic Correlation Effects and Superconductivity in Doped Fullerenes journal, November 1991

Pairing interaction near a nematic quantum critical point of a three-band CuO 2 model journal, November 2014

Moire bands in twisted double-layer graphene journal, July 2011

Correlated insulator behaviour at half-filling in magic-angle graphene superlattices journal, March 2018

Bulk superconductivity at 38 K in a molecular system journal, April 2008

Ising Model for the λ Transition and Phase Separation in He 3 - He 4 Mixtures journal, September 1971

Raman Spectrum of Graphene and Graphene Layers journal, October 2006

Classical Antiferromagnetism in Kinetically Frustrated Electronic Models journal, May 2014

Superconductivity in hole-doped C 60 from electronic correlations journal, November 2002

Graphite, graphene and the flat band superconductivity, "Письма в Журнал экспериментальной и теоретической физики" journal, January 2018

Moire bands in twisted double-layer graphene text, January 2010

Model for Metal-Insulator Transition in Graphene Superlattices and Beyond text, January 2018

Pairing symmetry of interacting fermions on twisted bilayer graphene superlattice text, January 2018

Superconductivity in hole-doped C60 from electronic correlations text, January 2002

Superconductivity in Fullerides text, January 1996

Bose-Einstein condensation with internal degrees of freedom in alkali atom gases text, January 1998

Fragmented and Single Condensate Ground States of Spin-1 Bose Gas text, January 1999

Faithful tight-binding models and fragile topology of magic-angle bilayer graphene journal, May 2019

Pressure-induced metal-insulator transition in twisted bilayer graphene journal, May 2019

Charge-transfer insulation in twisted bilayer graphene journal, December 2018

Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene journal, April 2019

Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene journal, February 2020

Twisted Bilayer Graphene: A Phonon-Driven Superconductor journal, June 2019

Symmetry, Maximally Localized Wannier States, and a Low-Energy Model for Twisted Bilayer Graphene Narrow Bands journal, September 2018

Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene journal, December 2018

Chiral twist on the high- T c phase diagram in moiré heterostructures journal, August 2019

Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene journal, July 2019

Valence Bond Orders at Charge Neutrality in a Possible Two-Orbital Extended Hubbard Model for Twisted Bilayer Graphene journal, October 2019

Formation of Bloch Flat Bands in Polar Twisted Bilayers without Magic Angles journal, February 2020

Phonon-induced giant linear-in- T resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity journal, April 2019

Correlated insulating and superconducting states in twisted bilayer graphene below the magic angle journal, September 2019

Valley Jahn-Teller Effect in Twisted Bilayer Graphene journal, October 2019

Continuum models for twisted bilayer graphene: Effect of lattice deformation and hopping parameters journal, May 2019

Magic of high-order van Hove singularity journal, December 2019

Ferromagnetism and spin-valley liquid states in moiré correlated insulators journal, July 2019

Electronic phases in twisted bilayer graphene at magic angles as a result of Van Hove singularities and interactions journal, November 2018

Strong correlations and d + id superconductivity in twisted bilayer graphene journal, December 2018

Tuning superconductivity in twisted bilayer graphene journal, January 2019

Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions journal, August 2018

Kohn-Luttinger superconductivity on two orbital honeycomb lattice journal, December 2018

Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene journal, November 2019

Coupled-wire description of the correlated physics in twisted bilayer graphene journal, April 2019

Cold atoms in twisted-bilayer optical potentials journal, November 2019

Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene journal, December 2018

Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene journal, January 2019

Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene journal, October 2019

Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain journal, June 2019

Spin liquids and pseudogap metals in the SU(4) Hubbard model in a moiré superlattice journal, January 2020

Internal screening and dielectric engineering in magic-angle twisted bilayer graphene journal, October 2019

The nature of correlations in the insulating states of twisted bilayer graphene journal, March 2019

Possible nodeless s ± -wave superconductivity in twisted bilayer graphene journal, July 2019

Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene journal, May 2019

Inherited and flatband-induced ordering in twisted graphene bilayers journal, October 2019

Superconductor versus insulator in twisted bilayer graphene journal, September 2019

Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene journal, September 2018

Spinor Bose Condensates in Optical Traps
journal, July 1998

Graphite, Graphene, and the Flat Band Superconductivity
journal, April 2018

Graphene Bilayer with a Twist: Electronic Structure
journal, December 2007

Unconventional superconductivity in magic-angle graphene superlattices
journal, March 2018

Ferromagnetism in a Narrow, Almost Half-Filled $s$ Band
journal, July 1966

Pairing symmetry of interacting fermions on a twisted bilayer graphene superlattice
journal, June 2018

Phenomenology of the superconducting state in Sr2RuO4
journal, May 1999

Fragmented and Single Condensate Ground States of Spin-1 Bose Gas
journal, May 2000

Quantum Spin Nematic States in Bose–Einstein Condensates
journal, June 2003

Anomaly of Optical Phonons in Bilayer Graphene
journal, October 2007

Electron-vibron interactions in charged fullerenes. I. Berry phases
journal, May 1994

Polymorphism control of superconductivity and magnetism in Cs₃C₆₀ close to the Mott transition
journal, May 2010

Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors
journal, May 2016

Degenerate three-band Hubbard model with anti-Hund’s rule interactions: A model for $A_{x} C_{60}$
journal, November 2003

Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
journal, April 2017

Bose-Einstein Condensation with Internal Degrees of Freedom in Alkali Atom Gases
journal, June 1998

Colloquium : Modeling the unconventional superconducting properties of expanded $A_{3} C_{60}$ fullerides
journal, June 2009

Superconductivity in fullerides
journal, April 1997

Enhancement of Superconductivity near a Nematic Quantum Critical Point
journal, March 2015

Model for the metal-insulator transition in graphene superlattices and beyond
journal, July 2018

Electronic pair binding and Hund's rule violations in doped $C_{60}$
journal, April 2016

The Disorder-Free Non-BCS Superconductor Cs3C60 Emerges from an Antiferromagnetic Insulator Parent State
journal, March 2009

Electronic Correlation Effects and Superconductivity in Doped Fullerenes
journal, November 1991

Pairing interaction near a nematic quantum critical point of a three-band ${CuO}_{2}$ model
journal, November 2014

Moire bands in twisted double-layer graphene
journal, July 2011

Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
journal, March 2018

Bulk superconductivity at 38 K in a molecular system
journal, April 2008

Ising Model for the $λ$ Transition and Phase Separation in ${He}^{3}$ - ${He}^{4}$ Mixtures
journal, September 1971

Raman Spectrum of Graphene and Graphene Layers
journal, October 2006

Classical Antiferromagnetism in Kinetically Frustrated Electronic Models
journal, May 2014

Superconductivity in hole-doped $C_{60}$ from electronic correlations
journal, November 2002

Graphite, graphene and the flat band superconductivity, "Письма в Журнал экспериментальной и теоретической физики"
journal, January 2018

Moire bands in twisted double-layer graphene
text, January 2010

Model for Metal-Insulator Transition in Graphene Superlattices and Beyond
text, January 2018

Pairing symmetry of interacting fermions on twisted bilayer graphene superlattice
text, January 2018

Superconductivity in hole-doped C60 from electronic correlations
text, January 2002

Superconductivity in Fullerides
text, January 1996

Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
text, January 1998

Fragmented and Single Condensate Ground States of Spin-1 Bose Gas
text, January 1999

Faithful tight-binding models and fragile topology of magic-angle bilayer graphene
journal, May 2019

Pressure-induced metal-insulator transition in twisted bilayer graphene
journal, May 2019

Charge-transfer insulation in twisted bilayer graphene
journal, December 2018

Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene
journal, April 2019

Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene
journal, February 2020

Twisted Bilayer Graphene: A Phonon-Driven Superconductor
journal, June 2019

Symmetry, Maximally Localized Wannier States, and a Low-Energy Model for Twisted Bilayer Graphene Narrow Bands
journal, September 2018

Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene
journal, December 2018

Chiral twist on the high- $T_{c}$ phase diagram in moiré heterostructures
journal, August 2019

Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
journal, July 2019

Valence Bond Orders at Charge Neutrality in a Possible Two-Orbital Extended Hubbard Model for Twisted Bilayer Graphene
journal, October 2019

Formation of Bloch Flat Bands in Polar Twisted Bilayers without Magic Angles
journal, February 2020

Phonon-induced giant linear-in- $T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
journal, April 2019

Correlated insulating and superconducting states in twisted bilayer graphene below the magic angle
journal, September 2019

Valley Jahn-Teller Effect in Twisted Bilayer Graphene
journal, October 2019

Continuum models for twisted bilayer graphene: Effect of lattice deformation and hopping parameters
journal, May 2019

Magic of high-order van Hove singularity
journal, December 2019

Ferromagnetism and spin-valley liquid states in moiré correlated insulators
journal, July 2019

Electronic phases in twisted bilayer graphene at magic angles as a result of Van Hove singularities and interactions
journal, November 2018

Strong correlations and $d + id$ superconductivity in twisted bilayer graphene
journal, December 2018

Tuning superconductivity in twisted bilayer graphene
journal, January 2019

Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions
journal, August 2018

Kohn-Luttinger superconductivity on two orbital honeycomb lattice
journal, December 2018

Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene
journal, November 2019

Coupled-wire description of the correlated physics in twisted bilayer graphene
journal, April 2019

Cold atoms in twisted-bilayer optical potentials
journal, November 2019

Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
journal, December 2018

Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
journal, January 2019

Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene
journal, October 2019

Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain
journal, June 2019

Spin liquids and pseudogap metals in the SU(4) Hubbard model in a moiré superlattice
journal, January 2020

Internal screening and dielectric engineering in magic-angle twisted bilayer graphene
journal, October 2019

The nature of correlations in the insulating states of twisted bilayer graphene
journal, March 2019

Possible nodeless s ^± -wave superconductivity in twisted bilayer graphene
journal, July 2019

Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
journal, May 2019

Inherited and flatband-induced ordering in twisted graphene bilayers
journal, October 2019

Superconductor versus insulator in twisted bilayer graphene
journal, September 2019

Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene
journal, September 2018

Twisted bilayer graphene aligned with hexagonal boron nitride: Anomalous Hall effect and a lattice model
journal, November 2019

Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene
journal, January 2020

Multiple topological transitions in twisted bilayer graphene near the first magic angle
journal, January 2019