Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
Abstract
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 (px,py) two-orbital extended Hubbard model on the honeycomb lattice. By decomposing the interacting terms in the particle-particle and particle-hole channels, we classify the different possible superconducting, magnetic, and charge instabilities of the system. In the pairing case, we pay particular attention to the two-component (d–wave) pairing channels, which admit vestigial phases with nematic or chiral orders, and study their phenomenology. Furthermore, we explore the strong-coupling regime by obtaining a simplified spin-orbital exchange model which may describe a putative Mott-type insulating state at quarter-filling. Our mean-field solution reveals a rich intertwinement between ferromagnetic and antiferromagnetic orders with different types of nematic and magnetic orbital orders. Altogether, our work provides a solid frameworkmore »
- Authors:
-
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Univ. of Minnesota, Minneapolis, MN (United States)
- Publication Date:
- Research Org.:
- Univ. of Minnesota, Minneapolis, MN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1611767
- Alternate Identifier(s):
- OSTI ID: 1484319
- Grant/Contract Number:
- SC0012336
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 24; 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; Materials Science; Physics; Superconducting order parameter; Superconductivity; Honeycomb lattice; Mott insulators
Citation Formats
Venderbos, Jörn W. F., and Fernandes, Rafael M. Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene. United States: N. p., 2018.
Web. doi:10.1103/physrevb.98.245103.
Venderbos, Jörn W. F., & Fernandes, Rafael M. Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene. United States. https://doi.org/10.1103/physrevb.98.245103
Venderbos, Jörn W. F., and Fernandes, Rafael M. Mon .
"Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene". United States. https://doi.org/10.1103/physrevb.98.245103. https://www.osti.gov/servlets/purl/1611767.
@article{osti_1611767,
title = {Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene},
author = {Venderbos, Jörn W. F. and Fernandes, Rafael M.},
abstractNote = {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 (px,py) two-orbital extended Hubbard model on the honeycomb lattice. By decomposing the interacting terms in the particle-particle and particle-hole channels, we classify the different possible superconducting, magnetic, and charge instabilities of the system. In the pairing case, we pay particular attention to the two-component (d–wave) pairing channels, which admit vestigial phases with nematic or chiral orders, and study their phenomenology. Furthermore, we explore the strong-coupling regime by obtaining a simplified spin-orbital exchange model which may describe a putative Mott-type insulating state at quarter-filling. Our mean-field solution reveals a rich intertwinement between ferromagnetic and antiferromagnetic orders with different types of nematic and magnetic orbital orders. Altogether, our work provides a solid framework for further investigations of the phase diagram of the two-orbital extended Hubbard model in both strong- and weak-coupling regimes.},
doi = {10.1103/physrevb.98.245103},
journal = {Physical Review. B},
number = 24,
volume = 98,
place = {United States},
year = {Mon Dec 03 00:00:00 EST 2018},
month = {Mon Dec 03 00:00:00 EST 2018}
}
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Works referenced in this record:
Functional renormalization group for multi-orbital Fermi surface instabilities
journal, November 2013
- Platt, C.; Hanke, W.; Thomale, R.
- Advances in Physics, Vol. 62, Issue 4-6
Electronic Properties of Graphene Multilayers
journal, December 2006
- Nilsson, Johan; Neto, A. H. Castro; Guinea, F.
- Physical Review Letters, Vol. 97, Issue 26
Electronic properties of bilayer and multilayer graphene
journal, July 2008
- Nilsson, Johan; Castro Neto, A. H.; Guinea, F.
- Physical Review B, Vol. 78, Issue 4
Topological Superconductivity in Twisted Multilayer Graphene
journal, August 2018
- Xu, Cenke; Balents, Leon
- Physical Review Letters, Vol. 121, Issue 8
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
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
Unconventional superconductivity in magic-angle graphene superlattices
journal, March 2018
- Cao, Yuan; Fatemi, Valla; Fang, Shiang
- Nature, Vol. 556, Issue 7699
Properties of boson-exchange superconductors
journal, October 1990
- Carbotte, J. P.
- Reviews of Modern Physics, Vol. 62, Issue 4
Electronic properties of graphene-based bilayer systems
journal, August 2016
- Rozhkov, A. V.; Sboychakov, A. O.; Rakhmanov, A. L.
- Physics Reports, Vol. 648
Band symmetries and singularities in twisted multilayer graphene
journal, December 2011
- Mele, E. J.
- Physical Review B, Vol. 84, Issue 23
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
Odd-parity topological superconductor with nematic order: Application to
journal, September 2014
- Fu, Liang
- Physical Review B, Vol. 90, Issue 10
Singlet superconductivity enhanced by charge order in nested twisted bilayer graphene Fermi surfaces
journal, October 2018
- Laksono, Evan; Leaw, Jia Ning; Reaves, Alexander
- Solid State Communications, Vol. 282
SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
journal, November 2018
- Natori, Willian M. H.; Andrade, Eric C.; Pereira, Rodrigo G.
- Physical Review B, Vol. 98, Issue 19
The Jahn-Teller effect and magnetism: transition metal compounds
journal, April 1982
- Kugel', Kliment I.; Khomskiĭ, D. I.
- Soviet Physics Uspekhi, Vol. 25, Issue 4
Phenomenological theory of unconventional superconductivity
journal, April 1991
- Sigrist, Manfred; Ueda, Kazuo
- Reviews of Modern Physics, Vol. 63, Issue 2
Commensuration and interlayer coherence in twisted bilayer graphene
journal, April 2010
- Mele, E. J.
- Physical Review B, Vol. 81, Issue 16
Dirac Points, Spinons, and Spin Liquid in Twisted Bilayer Graphene
journal, May 2018
- Irkhin, V. Yu.; Skryabin, Yu. N.
- JETP Letters, Vol. 107, Issue 10
The electronic properties of bilayer graphene
journal, April 2013
- McCann, Edward; Koshino, Mikito
- Reports on Progress in Physics, Vol. 76, Issue 5
Odd-parity superconductors with two-component order parameters: Nematic and chiral, full gap, and Majorana node
journal, November 2016
- Venderbos, Jörn W. F.; Kozii, Vladyslav; Fu, Liang
- Physical Review B, Vol. 94, Issue 18
Triangular antiferromagnetism on the honeycomb lattice of twisted bilayer graphene
journal, August 2018
- Thomson, Alex; Chatterjee, Shubhayu; Sachdev, Subir
- Physical Review B, Vol. 98, Issue 7
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
Colossal magnetoresistant materials: the key role of phase separation
journal, April 2001
- Dagotto, Elbio; Hotta, Takashi; Moreo, Adriana
- Physics Reports, Vol. 344, Issue 1-3
Orbital Ordering and Frustration of -Band Mott Insulators
journal, May 2008
- Wu, Congjun
- Physical Review Letters, Vol. 100, Issue 20
Colloquium : Theory of intertwined orders in high temperature superconductors
journal, May 2015
- Fradkin, Eduardo; Kivelson, Steven A.; Tranquada, John M.
- Reviews of Modern Physics, Vol. 87, Issue 2
Electronic structure theory of weakly interacting bilayers
journal, June 2016
- Fang, Shiang; Kaxiras, Efthimios
- Physical Review B, Vol. 93, Issue 23
Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization, Not Mott Insulation
journal, September 2018
- Padhi, Bikash; Setty, Chandan; Phillips, Philip W.
- Nano Letters, Vol. 18, Issue 10
Vestigial nematic order and superconductivity in the doped topological insulator Cu x Bi2Se3
journal, May 2018
- Hecker, Matthias; Schmalian, Jörg
- npj Quantum Materials, Vol. 3, Issue 1
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
Localization of Dirac Electrons in Rotated Graphene Bilayers
journal, March 2010
- Trambly de Laissardière, G.; Mayou, D.; Magaud, L.
- Nano Letters, Vol. 10, Issue 3
Electronic Properties of Incommensurate Atomic Layers
journal, December 2015
- Koshino, Mikito; Moon, Pilkyung
- Journal of the Physical Society of Japan, Vol. 84, Issue 12
Chiral Spin Density Wave and 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
Flat bands in slightly twisted bilayer graphene: Tight-binding calculations
journal, September 2010
- Suárez Morell, E.; Correa, J. D.; Vargas, P.
- Physical Review B, Vol. 82, Issue 12
Metal-insulator transitions
journal, October 1998
- Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori
- Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263
Simplified LCAO Method for the Periodic Potential Problem
journal, June 1954
- Slater, J. C.; Koster, G. F.
- Physical Review, Vol. 94, Issue 6
Lattice relaxation and energy band modulation in twisted bilayer graphene
journal, August 2017
- Nam, Nguyen N. T.; Koshino, Mikito
- Physical Review B, Vol. 96, Issue 7
Phases of a phenomenological model of twisted bilayer graphene
journal, August 2018
- Dodaro, J. F.; Kivelson, S. A.; Schattner, Y.
- Physical Review B, Vol. 98, Issue 7
Quantum Melting of Magnetic Order due to Orbital Fluctuations
journal, April 1997
- Feiner, Louis Felix; Oleś, Andrzej M.; Zaanen, Jan
- Physical Review Letters, Vol. 78, Issue 14
Unconventional topological superconductivity and phase diagram for an effective two-orbital model as applied to twisted bilayer graphene
journal, August 2018
- Fidrysiak, M.; Zegrodnik, M.; Spałek, J.
- Physical Review B, Vol. 98, Issue 8
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
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
Ab initio theory of moiré superlattice bands in layered two-dimensional materials
journal, May 2014
- Jung, Jeil; Raoux, Arnaud; Qiao, Zhenhua
- Physical Review B, Vol. 89, Issue 20
Electron Correlation and Ferromagnetism of Transition Metals
journal, September 1963
- Kanamori, Junjiro
- Progress of Theoretical Physics, Vol. 30, Issue 3
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
Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006
- Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang
- Reviews of Modern Physics, Vol. 78, Issue 1
Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene
journal, September 2018
- Po, Hoi Chun; Zou, Liujun; Vishwanath, Ashvin
- Physical Review X, Vol. 8, Issue 3
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
Magnetism, Superconductivity, and Spontaneous Orbital Order in Iron-Based Superconductors: Which Comes First and Why?
journal, December 2016
- Chubukov, Andrey V.; Khodas, M.; Fernandes, Rafael M.
- Physical Review X, Vol. 6, Issue 4
Electronic structure of turbostratic graphene
journal, April 2010
- Shallcross, S.; Sharma, S.; Kandelaki, E.
- Physical Review B, Vol. 81, Issue 16
Novel electronic states seen in graphene
journal, April 2018
- Mele, Eugene J.
- Nature, Vol. 556, Issue 7699
Continuum model of the twisted graphene bilayer
journal, October 2012
- Lopes dos Santos, J. M. B.; Peres, N. M. R.; Castro Neto, A. H.
- Physical Review B, Vol. 86, Issue 15
A common thread: The pairing interaction for unconventional superconductors
journal, October 2012
- Scalapino, D. J.
- Reviews of Modern Physics, Vol. 84, Issue 4
Quantum melting of magnetic long-range order near orbital degeneracy: Classical phases and Gaussian fluctuations
journal, March 2000
- Oleś, Andrzej M.; Felix Feiner, Louis; Zaanen, Jan
- Physical Review B, Vol. 61, Issue 9
Flat Bands and Wigner Crystallization in the Honeycomb Optical Lattice
journal, August 2007
- Wu, Congjun; Bergman, Doron; Balents, Leon
- Physical Review Letters, Vol. 99, Issue 7
Metal-insulator transitions
journal, June 1991
- Paesler, Michael
- Journal of Non-Crystalline Solids, Vol. 130, Issue 1
Correlated electronic phases in twisted bilayer transition metal dichalcogenides
journal, June 2020
- Wang, Lei; Shih, En-Min; Ghiotto, Augusto
- Nature Materials, Vol. 19, Issue 8
Quantum spin-valley Hall effect in AB-stacked bilayer silicene
journal, December 2019
- Lee, Kyu Won; Lee, Cheol Eui
- Scientific Reports, Vol. 9, Issue 1
Vestigial nematic order and superconductivity in the doped topological insulator CuₓBi₂Se₃
text, January 2018
- Hecker, Matthias; Schmalian, Jörg
- Karlsruhe
Electronic properties of bilayer and multilayer graphene
text, January 2007
- Nilsson, Johan; Neto, A. H. Castro; Guinea, F.
- arXiv
Electronic structure of turbostratic graphene
text, January 2009
- Shallcross, S.; Sharma, S.; Kandelaki, E.
- arXiv
Moire bands in twisted double-layer graphene
text, January 2010
- Bistritzer, R.; MacDonald, A. H.
- arXiv
Band Symmetries and Singularities in Twisted Multilayer Graphene
text, January 2011
- Mele, E. J.
- arXiv
The electronic properties of bilayer graphene
text, January 2012
- McCann, Edward; Koshino, Mikito
- arXiv
Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
text, January 2013
- Platt, Christian; Hanke, Werner; Thomale, Ronny
- arXiv
Electronic properties of graphene-based bilayer systems
text, January 2015
- Rozhkov, A. V.; Sboychakov, A. O.; Rakhmanov, A. L.
- arXiv
Magnetism, superconductivity, and spontaneous orbital order in iron-based superconductors: who comes first and why?
text, January 2016
- Chubukov, Andrey V.; Khodas, Maxim; Fernandes, Rafael M.
- arXiv
Electronic Structure Theory of Weakly Interacting Bilayers
text, January 2016
- Fang, Shiang; Kaxiras, Efthimios
- arXiv
Topological Superconductivity in Twisted Multilayer Graphene
text, January 2018
- Xu, Cenke; Balents, Leon
- arXiv
Model for Metal-Insulator Transition in Graphene Superlattices and Beyond
text, January 2018
- Yuan, Noah F. Q.; Fu, Liang
- arXiv
Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
text, January 2018
- Po, Hoi Chun; Zou, Liujun; Vishwanath, Ashvin
- arXiv
Pairing symmetry of interacting fermions on twisted bilayer graphene superlattice
text, January 2018
- Guo, Huaiming; Zhu, Xingchuan; Feng, Shiping
- arXiv
Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization not Mott Insulation
text, January 2018
- Padhi, Bikash; Setty, Chandan; Phillips, Philip W.
- arXiv
Dirac points, spinons and spin liquid in twisted bilayer graphene
text, January 2018
- Irkhin, V. Yu.; Skryabin, Yu. N.
- arXiv
Unconventional topological superconductivity and phase diagram for an effective two-orbital model as applied to twisted bilayer graphene
text, January 2018
- Fidrysiak, Maciej; Zegrodnik, Michał; Spałek, Józef
- arXiv
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
Minimum model for the electronic structure of twisted bilayer graphene and related structures
text, January 2018
- Lin, Xianqing; Tománek, David
- arXiv
Singlet superconductivity enhanced by charge order in nested twisted bilayer graphene Fermi surfaces
text, January 2018
- Laksono, Evan; Leaw, Jia Ning; Reaves, Alexander
- arXiv
Works referencing / citing this record:
Magnetic impurity resonance states for different pairing symmetries in twisted bilayer graphene
journal, December 2018
- Chen, Liang; Li, Hui-Zhen; Han, Rong-Sheng
- Journal of Physics: Condensed Matter, Vol. 31, Issue 6
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
Cold atoms in twisted-bilayer optical potentials
journal, November 2019
- González-Tudela, A.; Cirac, J. I.
- Physical Review A, Vol. 100, Issue 5
Inherited and flatband-induced ordering in twisted graphene bilayers
journal, October 2019
- Klebl, Lennart; Honerkamp, Carsten
- Physical Review B, Vol. 100, Issue 15
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
Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
journal, May 2019
- Wu, Fengcheng
- Physical Review B, Vol. 99, Issue 19
Pressure-induced metal-insulator transition in twisted bilayer graphene
journal, May 2019
- Padhi, Bikash; Phillips, Philip W.
- Physical Review B, Vol. 99, Issue 20
Flat bands in twisted double bilayer graphene
journal, June 2019
- Chebrolu, Narasimha Raju; Chittari, Bheema Lingam; Jung, Jeil
- Physical Review B, Vol. 99, Issue 23
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
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
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
Ground state superconducting pair correlations in twisted bilayer graphene
journal, December 2019
- Zhang, Lufeng; Huang, Tongyun; Liang, Ying
- Modern Physics Letters B, Vol. 34, Issue 01
Magic of high-order van Hove singularity
journal, December 2019
- Yuan, Noah F. Q.; Isobe, Hiroki; Fu, Liang
- Nature Communications, Vol. 10, Issue 1
Charge-transfer insulation in twisted bilayer graphene
text, January 2018
- Rademaker, Louk; Mellado, Paula
- arXiv
Pressure-Induced Metal-Insulator Transition in Twisted Bi-layer Graphene
text, January 2018
- Padhi, Bikash; Phillips, Philip
- arXiv
The pseudo-Landau-level representation of twisted bilayer graphene: band topology and the implications on the correlated insulating phase
text, January 2018
- Liu, Jianpeng; Liu, Junwei; Dai, Xi
- arXiv
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
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
Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
text, January 2018
- Wu, Fengcheng
- arXiv
Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle
text, January 2018
- Seo, Kangjun; Kotov, Valeri N.; Uchoa, Bruno
- arXiv
Magic of high order van Hove singularity
text, January 2019
- Yuan, Noah F. Q.; Isobe, Hiroki; Fu, Liang
- arXiv
Quantum valley Hall effect, orbital magnetism, and anomalous Hall effect in twisted multilayer graphene systems
text, January 2019
- Liu, Jianpeng; Ma, Zhen; Gao, Jinhua
- arXiv
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
Magic of high-order van Hove singularity
journal, December 2019
- Yuan, Noah F. Q.; Isobe, Hiroki; Fu, Liang
- Nature Communications, Vol. 10, Issue 1
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
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
Correlation-Induced Insulating Topological Phases at Charge Neutrality in Twisted Bilayer Graphene
journal, January 2021
- Da Liao, Yuan; Kang, Jian; Breiø, Clara N.
- Physical Review X, Vol. 11, Issue 1
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
Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene
text, January 2019
- Xie, Fang; Song, Zhida; Lian, Biao
- arXiv
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
Realization of Nearly Dispersionless Bands with Strong Orbital Anisotropy from Destructive Interference in Twisted Bilayer MoS2
text, January 2020
- Xian, Lede; Claassen, Martin; Kiese, Dominik
- arXiv
Competing orders at higher-order Van Hove points
text, January 2020
- Classen, Laura; Chubukov, Andrey V.; Honerkamp, Carsten
- arXiv
Correlated Insulating Phases in the Twisted Bilayer Graphene
text, January 2020
- Da Liao, Yuan; Xu, Xiao Yan; Meng, Zi Yang
- arXiv
Towards holographic flat bands
text, January 2021
- Grandi, Nicolás; Juričić, Vladimir; Landea, Ignacio Salazar
- arXiv