Superconductivity from valley fluctuations and approximate SO(4) symmetry in a weak coupling theory of twisted bilayer graphene
Abstract
The recent discovery of the Mott insulating and superconducting phases in twisted bilayer graphene has generated tremendous research interest. Here, we develop a weak coupling approach to the superconductivity in twisted bilayer graphene, starting from the Fermi liquid regime. A key observation is that near half filling, the fermiology consists of well nested Fermi pockets derived from opposite valleys, leading to enhanced valley fluctuation, which in turn can mediate superconductivity. This scenario is studied within the random phase approximation. We find that inter-valley electron pairing with either chiral ($$d$$ + i$$d$$ mixed with $$p$$-i$$p$$) or helical form factor is the dominant instability. An approximate SO(4) spin-valley symmetry implies a near degeneracy of spin-singlet and triplet pairing. On increasing interactions, commensurate inter-valley coherence wave (IVCW) order can arise, with simultaneous condensation at the three $$M$$ points in the Brillouin Zone, and a 2 × 2 pattern in real space. In simple treatments though, this leads to a full gap at fillings ± (1/2 + 1/8), slightly away from half-filling. The selection of spin-singlet or spin triplet orders, both for the IVCW and the superconductor, arise fcase corresponds to the Hundsrom SO(4) symmetry breaking terms. Mott insulators derived from phase fluctuating superconductors are also discussed, which exhibit both symmetry protected and intrinsic topological orders.
- Authors:
-
- Harvard Univ., Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1559263
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- npj Quantum Materials
- Additional Journal Information:
- Journal Volume: 4; Journal Issue: 1; Journal ID: ISSN 2397-4648
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
You, Yi-Zhuang, and Vishwanath, Ashvin. Superconductivity from valley fluctuations and approximate SO(4) symmetry in a weak coupling theory of twisted bilayer graphene. United States: N. p., 2019.
Web. doi:10.1038/s41535-019-0153-4.
You, Yi-Zhuang, & Vishwanath, Ashvin. Superconductivity from valley fluctuations and approximate SO(4) symmetry in a weak coupling theory of twisted bilayer graphene. United States. https://doi.org/10.1038/s41535-019-0153-4
You, Yi-Zhuang, and Vishwanath, Ashvin. Mon .
"Superconductivity from valley fluctuations and approximate SO(4) symmetry in a weak coupling theory of twisted bilayer graphene". United States. https://doi.org/10.1038/s41535-019-0153-4. https://www.osti.gov/servlets/purl/1559263.
@article{osti_1559263,
title = {Superconductivity from valley fluctuations and approximate SO(4) symmetry in a weak coupling theory of twisted bilayer graphene},
author = {You, Yi-Zhuang and Vishwanath, Ashvin},
abstractNote = {The recent discovery of the Mott insulating and superconducting phases in twisted bilayer graphene has generated tremendous research interest. Here, we develop a weak coupling approach to the superconductivity in twisted bilayer graphene, starting from the Fermi liquid regime. A key observation is that near half filling, the fermiology consists of well nested Fermi pockets derived from opposite valleys, leading to enhanced valley fluctuation, which in turn can mediate superconductivity. This scenario is studied within the random phase approximation. We find that inter-valley electron pairing with either chiral ($d$ + i$d$ mixed with $p$-i$p$) or helical form factor is the dominant instability. An approximate SO(4) spin-valley symmetry implies a near degeneracy of spin-singlet and triplet pairing. On increasing interactions, commensurate inter-valley coherence wave (IVCW) order can arise, with simultaneous condensation at the three $M$ points in the Brillouin Zone, and a 2 × 2 pattern in real space. In simple treatments though, this leads to a full gap at fillings ± (1/2 + 1/8), slightly away from half-filling. The selection of spin-singlet or spin triplet orders, both for the IVCW and the superconductor, arise fcase corresponds to the Hundsrom SO(4) symmetry breaking terms. Mott insulators derived from phase fluctuating superconductors are also discussed, which exhibit both symmetry protected and intrinsic topological orders.},
doi = {10.1038/s41535-019-0153-4},
journal = {npj Quantum Materials},
number = 1,
volume = 4,
place = {United States},
year = {Mon Apr 29 00:00:00 EDT 2019},
month = {Mon Apr 29 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
Unconventional superconductivity in nearly flat bands in twisted bilayer graphene
journal, March 2019
- Roy, Bitan; Juričić, Vladimir
- Physical Review B, Vol. 99, Issue 12
Chiral topological superconductor from the quantum Hall state
journal, November 2010
- Qi, Xiao-Liang; Hughes, Taylor L.; Zhang, Shou-Cheng
- Physical Review B, Vol. 82, Issue 18
Graphite, Graphene, and the Flat Band Superconductivity
journal, April 2018
- Volovik, G. E.
- JETP Letters, Vol. 107, Issue 8
Bond-operator theory of doped antiferromagnets: From Mott insulators with bond-centered charge order to superconductors with nodal fermions
journal, October 2001
- Park, Kwon; Sachdev, Subir
- Physical Review B, Vol. 64, Issue 18
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
Topological Superconductivity in Twisted Multilayer Graphene
journal, August 2018
- Xu, Cenke; Balents, Leon
- Physical Review Letters, Vol. 121, Issue 8
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
Anomaly Indicators for Time-Reversal Symmetric Topological Orders
journal, September 2017
- Wang, Chenjie; Levin, Michael
- Physical Review Letters, Vol. 119, Issue 13
Band symmetries and singularities in twisted multilayer graphene
journal, December 2011
- Mele, E. J.
- Physical Review B, Vol. 84, Issue 23
Classifying fractionalization: Symmetry classification of gapped spin liquids in two dimensions
journal, March 2013
- Essin, Andrew M.; Hermele, Michael
- Physical Review B, Vol. 87, Issue 10
Tunable moiré bands and strong correlations in small-twist-angle bilayer graphene
journal, March 2017
- Kim, Kyounghwan; DaSilva, Ashley; Huang, Shengqiang
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 13
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
Mutual Chern-Simons theory for topological order
journal, October 2008
- Kou, Su-Peng; Levin, Michael; Wen, Xiao-Gang
- Physical Review B, Vol. 78, Issue 15
Time-Reversal-Invariant Topological Superconductors and Superfluids in Two and Three Dimensions
journal, May 2009
- Qi, Xiao-Liang; Hughes, Taylor L.; Raghu, S.
- Physical Review Letters, Vol. 102, Issue 18
Quantized thermal transport in the fractional quantum Hall effect
journal, June 1997
- Kane, C. L.; Fisher, Matthew P. A.
- Physical Review B, Vol. 55, Issue 23
Odd-parity topological superconductor with nematic order: Application to
journal, September 2014
- Fu, Liang
- Physical Review B, Vol. 90, Issue 10
Evidence of a gate-tunable Mott insulator in a trilayer graphene moiré superlattice
journal, January 2019
- Chen, Guorui; Jiang, Lili; Wu, Shuang
- Nature Physics, Vol. 15, Issue 3
Odd-Parity Topological Superconductors: Theory and Application to
journal, August 2010
- Fu, Liang; Berg, Erez
- Physical Review Letters, Vol. 105, Issue 9
Inter-valley spiral order in the Mott insulating state of a heterostructure of trilayer graphene-boron nitride
journal, September 2018
- Zhu, Guo-Yi; Xiang, Tao; Zhang, Guang-Ming
- Science Bulletin, Vol. 63, Issue 17
Effective theories of the fractional quantum Hall effect: Hierarchy construction
journal, November 1990
- Blok, B.; Wen, X. G.
- Physical Review B, Vol. 42, Issue 13
Classification of symmetry enriched topological phases with exactly solvable models
journal, April 2013
- Mesaros, Andrej; Ran, Ying
- Physical Review B, Vol. 87, Issue 15
New approach to the mixed-valence problem
journal, March 1984
- Coleman, Piers
- Physical Review B, Vol. 29, Issue 6
Symmetry protected topological orders and the group cohomology of their symmetry group
journal, April 2013
- Chen, Xie; Gu, Zheng-Cheng; Liu, Zheng-Xin
- Physical Review B, Vol. 87, Issue 15
Lowest-energy moiré band formed by Dirac zero modes in twisted bilayer graphene
journal, April 2019
- Zhang, Long
- Science Bulletin, Vol. 64, Issue 8
Topologically Protected Helical States in Minimally Twisted Bilayer Graphene
journal, July 2018
- Huang, Shengqiang; Kim, Kyounghwan; Efimkin, Dmitry K.
- Physical Review Letters, Vol. 121, Issue 3
Unconventional Pairing Originating from the Disconnected Fermi Surfaces of Superconducting
journal, August 2008
- Kuroki, Kazuhiko; Onari, Seiichiro; Arita, Ryotaro
- Physical Review Letters, Vol. 101, Issue 8
Near-degeneracy of several pairing channels in multiorbital models for the Fe pnictides
journal, February 2009
- Graser, S.; Maier, T. A.; Hirschfeld, P. J.
- New Journal of Physics, Vol. 11, Issue 2
matrix construction of symmetry-enriched phases of matter
journal, May 2013
- Hung, Ling-Yan; Wan, Yidun
- Physical Review B, Vol. 87, Issue 19
On the solution of the Coqblin-Schreiffer Hamiltonian by the large-N expansion technique
journal, June 1983
- Read, N.; Newns, D. M.
- Journal of Physics C: Solid State Physics, Vol. 16, Issue 17
Local spectroscopy of moiré-induced electronic structure in gate-tunable twisted bilayer graphene
journal, October 2015
- Wong, Dillon; Wang, Yang; Jung, Jeil
- Physical Review B, Vol. 92, Issue 15
Classification and analysis of two-dimensional Abelian fractional topological insulators
journal, September 2012
- Levin, Michael; Stern, Ady
- Physical Review B, Vol. 86, Issue 11
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
Bogoliubov quasiparticles, spinons, and spin-charge decoupling in superconductors
journal, June 1990
- Kivelson, S. A.; Rokhsar, D. S.
- Physical Review B, Vol. 41, Issue 16
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
journal, September 2012
- Lu, Yuan-Ming; Vishwanath, Ashvin
- Physical Review B, Vol. 86, Issue 12
Topological field theory of time-reversal invariant insulators
journal, November 2008
- Qi, Xiao-Liang; Hughes, Taylor L.; Zhang, Shou-Cheng
- Physical Review B, Vol. 78, Issue 19, Article No. 195424
Classification of Abelian quantum Hall states and matrix formulation of topological fluids
journal, July 1992
- Wen, X. G.; Zee, A.
- Physical Review B, Vol. 46, Issue 4
gauge theory of electron fractionalization in strongly correlated systems
journal, September 2000
- Senthil, T.; Fisher, Matthew P. A.
- Physical Review B, Vol. 62, Issue 12
Bilayer Graphene as a Platform for Bosonic Symmetry-Protected Topological States
journal, March 2017
- Bi, Zhen; Zhang, Ruixing; You, Yi-Zhuang
- Physical Review Letters, Vol. 118, Issue 12
Symmetry-Protected Topological Orders in Interacting Bosonic Systems
journal, December 2012
- Chen, X.; Gu, Z. -C.; Liu, Z. -X.
- Science, Vol. 338, Issue 6114
Statistics of the excitations of the resonating-valence-bond state
journal, October 1989
- Read, N.; Chakraborty, B.
- Physical Review B, Vol. 40, Issue 10
Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
journal, October 2010
- Chen, Xie; Gu, Zheng-Cheng; Wen, Xiao-Gang
- Physical Review B, Vol. 82, Issue 15
Dual order parameter for the nodal liquid
journal, July 1999
- Balents, Leon; Fisher, Matthew P. A.; Nayak, Chetan
- Physical Review B, Vol. 60, Issue 3
Functional Renormalization-Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs-Based High-Temperature Superconductor
journal, January 2009
- Wang, Fa; Zhai, Hui; Ran, Ying
- Physical Review Letters, Vol. 102, Issue 4
New Functional Integral Approach to Strongly Correlated Fermi Systems: The Gutzwiller Approximation as a Saddle Point
journal, September 1986
- Kotliar, Gabriel; Ruckenstein, Andrei E.
- Physical Review Letters, Vol. 57, Issue 11
The case for dx2 − y2 pairing in the cuprate superconductors
journal, January 1995
- Scalapino, D. J.
- Physics Reports, Vol. 250, Issue 6
Stable hc / e vortices in a gauge theory of superconductivity in strongly correlated systems
journal, January 1992
- Sachdev, Subir
- Physical Review B, Vol. 45, Issue 1
Quantized topological terms in weak-coupling gauge theories with a global symmetry and their connection to symmetry-enriched topological phases
journal, April 2013
- Hung, Ling-Yan; Wen, Xiao-Gang
- Physical Review B, Vol. 87, Issue 16
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
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
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
Charge-transfer insulation in twisted bilayer graphene
journal, December 2018
- Rademaker, Louk; Mellado, Paula
- Physical Review B, Vol. 98, Issue 23
Mean-field theory of spin-liquid states with finite energy gap and topological orders
journal, August 1991
- Wen, X. G.
- Physical Review B, Vol. 44, 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
Coexistence of superconductivity and a spin-density wave in pnictide superconductors: Gap symmetry and nodal lines
journal, September 2009
- Parker, D.; Vavilov, M. G.; Chubukov, A. V.
- Physical Review B, Vol. 80, Issue 10
New Mechanism for Superconductivity
journal, September 1965
- Kohn, W.; Luttinger, J. M.
- Physical Review Letters, Vol. 15, Issue 12
Bridging fermionic and bosonic short range entangled states
journal, July 2015
- You, Yi-Zhuang; Bi, Zhen; Rasmussen, Alex
- New Journal of Physics, Vol. 17, Issue 7
Framing Anomaly in the Effective Theory of the Fractional Quantum Hall Effect
journal, January 2015
- Gromov, Andrey; Cho, Gil Young; You, Yizhi
- Physical Review Letters, Vol. 114, Issue 1
Electronic Correlation Effects and Superconductivity in Doped Fullerenes
journal, November 1991
- Chakravarty, S.; Gelfand, M. P.; Kivelson, S.
- Science, Vol. 254, Issue 5034
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
Antiferromagnetically ordered Mott insulator and superconductivity in twisted bilayer graphene: a quantum Monte Carlo study
journal, March 2019
- Huang, Tongyun; Zhang, Lufeng; Ma, Tianxing
- Science Bulletin, Vol. 64, Issue 5
Superconductivity from repulsive interaction
conference, January 2013
- Maiti, Saurabh; Chubukov, Andrey V.
- LECTURES ON THE PHYSICS OF STRONGLY CORRELATED SYSTEMS XVII: Seventeenth Training Course in the Physics of Strongly Correlated Systems, AIP Conference Proceedings
Topological Orders in Rigid States
journal, February 1990
- Wen, X. G.
- International Journal of Modern Physics B, Vol. 04, Issue 02
Superconductivity, Spin Gaps and Luttinger Liquids in a Class of Cuprates
journal, August 1993
- Rice, T. M.; Gopalan, S.; Sigrist, M.
- Europhysics Letters (EPL), Vol. 23, Issue 6
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
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
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
Fault-tolerant quantum computation by anyons
journal, January 2003
- Kitaev, A. Yu.
- Annals of Physics, Vol. 303, Issue 1
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect
journal, April 2000
- Read, N.; Green, Dmitry
- Physical Review B, Vol. 61, Issue 15
Tuning superconductivity in twisted bilayer graphene
journal, January 2019
- Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy
- Science, Vol. 363, Issue 6431
-wave pairing from spin fluctuations in the Fe Se superconductors
journal, March 2011
- Maier, T. A.; Graser, S.; Hirschfeld, P. J.
- Physical Review B, Vol. 83, Issue 10
Symmetry-protected topological phases with charge and spin symmetries: Response theory and dynamical gauge theory in two and three dimensions
journal, December 2013
- Ye, Peng; Wang, Juven
- Physical Review B, Vol. 88, Issue 23
Transport Through a Network of Topological Channels in Twisted Bilayer Graphene
journal, October 2018
- Rickhaus, Peter; Wallbank, John; Slizovskiy, Sergey
- Nano Letters, Vol. 18, Issue 11
Classification of gapped symmetric phases in one-dimensional spin systems
journal, January 2011
- Chen, Xie; Gu, Zheng-Cheng; Wen, Xiao-Gang
- Physical Review B, Vol. 83, Issue 3
Braiding statistics approach to symmetry-protected topological phases
journal, September 2012
- Levin, Michael; Gu, Zheng-Cheng
- Physical Review B, Vol. 86, Issue 11
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
Magnetism and its microscopic origin in iron-based high-temperature superconductors
journal, October 2012
- Dai, Pengcheng; Hu, Jiangping; Dagotto, Elbio
- Nature Physics, Vol. 8, Issue 10
Excitation structure of the hierarchy scheme in the fractional quantum Hall effect
journal, September 1990
- Read, N.
- Physical Review Letters, Vol. 65, Issue 12
Topological Response Theory of Abelian Symmetry-Protected Topological Phases in Two Dimensions
journal, April 2014
- Cheng, Meng; Gu, Zheng-Cheng
- Physical Review Letters, Vol. 112, Issue 14
Symmetry-protected topological states of interacting fermions and bosons
journal, December 2014
- You, Yi-Zhuang; Xu, Cenke
- Physical Review B, Vol. 90, Issue 24
Strong correlations and superconductivity in twisted bilayer graphene
journal, December 2018
- Kennes, Dante M.; Lischner, Johannes; Karrasch, Christoph
- Physical Review B, Vol. 98, Issue 24
Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to spin liquids
journal, April 2016
- Lu, Yuan-Ming; Vishwanath, Ashvin
- Physical Review B, Vol. 93, Issue 15
Superlattice-Induced Insulating States and Valley-Protected Orbits in Twisted Bilayer Graphene
journal, September 2016
- Cao, Y.; Luo, J. Y.; Fatemi, V.
- Physical Review Letters, Vol. 117, Issue 11
Spin-triplet -wave pairing in twisted bilayer graphene near -filling
journal, March 2019
- Tang, Qing-Kun; Yang, Lin; Wang, Da
- Physical Review B, Vol. 99, Issue 9
Weak Mott insulators on the triangular lattice: Possibility of a gapless nematic quantum spin liquid
journal, June 2010
- Grover, Tarun; Trivedi, N.; Senthil, T.
- Physical Review B, Vol. 81, Issue 24
Observation of Van Hove singularities in twisted graphene layers
journal, November 2009
- Li, Guohong; Luican, A.; Lopes dos Santos, J. M. B.
- Nature Physics, Vol. 6, Issue 2
A common thread: The pairing interaction for unconventional superconductors
journal, October 2012
- Scalapino, D. J.
- Reviews of Modern Physics, Vol. 84, Issue 4
-wave pairing near a spin-density-wave instability
journal, December 1986
- Scalapino, D. J.; Loh, E.; Hirsch, J. E.
- Physical Review B, Vol. 34, Issue 11
Single-Layer Behavior and Its Breakdown in Twisted Graphene Layers
journal, March 2011
- Luican, A.; Li, Guohong; Reina, A.
- Physical Review Letters, Vol. 106, Issue 12
Breakdown of the Landau-Fermi liquid in two dimensions due to umklapp scattering
journal, January 2001
- Honerkamp, C.; Salmhofer, M.; Furukawa, N.
- Physical Review B, Vol. 63, Issue 3
Topological Field Theory of Time-Reversal Invariant Insulators
text, January 2008
- Qi, Xiao-Liang; Hughes, Taylor; Zhang, Shou-Cheng
- arXiv
Mutual Chern-Simons theory for Z_2 topological order
text, January 2008
- Kou, Su-Peng; Levin, Michael; Wen, Xiao-Gang
- arXiv
Moire bands in twisted double-layer graphene
text, January 2010
- Bistritzer, R.; MacDonald, A. H.
- arXiv
Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
text, January 2010
- Luican, A.; Li, Guohong; Reina, A.
- arXiv
Symmetry protected topological orders and the group cohomology of their symmetry group
text, January 2011
- Chen, Xie; Gu, Zheng-Cheng; Liu, Zheng-Xin
- arXiv
Band Symmetries and Singularities in Twisted Multilayer Graphene
text, January 2011
- Mele, E. J.
- arXiv
Classification and analysis of two dimensional abelian fractional topological insulators
text, January 2012
- Levin, Michael; Stern, Ady
- arXiv
Magnetism and its microscopic origin in iron-based high-temperature superconductors
text, January 2012
- Dai, Pengcheng; Hu, Jiangping; Dagotto, Elbio
- arXiv
Quantized topological terms in weak-coupling gauge theories with symmetry and their connection to symmetry enriched topological phases
text, January 2012
- Hung, Ling-Yan; Wen, Xiao-Gang
- arXiv
Topological Response Theory of Abelian Symmetry-Protected Topological Phases in Two Dimensions
text, January 2013
- Cheng, Meng; Gu, Zheng-Cheng
- arXiv
Framing Anomaly in the Effective Theory of Fractional Quantum Hall Effect
text, January 2014
- Gromov, Andrey; Cho, Gil Young; You, Yizhi
- arXiv
Electronic Structure Theory of Weakly Interacting Bilayers
text, January 2016
- Fang, Shiang; Kaxiras, Efthimios
- arXiv
Superlattice-induced insulating states and valley-protected orbits in twisted bilayer graphene
text, January 2016
- Cao, Y.; Luo, J. Y.; Fatemi, V.
- arXiv
Transport through a network of topological states in twisted bilayer graphene
text, January 2018
- Rickhaus, Peter; Wallbank, John; Slizovskiy, Sergey
- 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
Unconventional superconductivity in nearly flat bands in twisted bilayer graphene
text, January 2018
- Roy, Bitan; Juricic, Vladimir
- arXiv
Pairing symmetry of interacting fermions on twisted bilayer graphene superlattice
text, January 2018
- Guo, Huaiming; Zhu, Xingchuan; Feng, Shiping
- arXiv
Inter-valley spiral order in the Mott insulating state of a heterostructure of trilayer graphene-boron nitride
text, January 2018
- Zhu, Guo-Yi; Xiang, Tao; Zhang, Guang-Ming
- arXiv
Dirac points, spinons and spin liquid in twisted bilayer graphene
text, January 2018
- Irkhin, V. Yu.; Skryabin, Yu. N.
- arXiv
Antiferromagnetically ordered Mott insulator and $d+id$ superconductivity in twisted bilayer graphene: A quantum Monte carlo study
text, January 2018
- Huang, Tongyun; Zhang, Lufeng; Ma, Tianxing
- arXiv
Charge-transfer insulation in twisted bilayer graphene
text, January 2018
- Rademaker, Louk; Mellado, Paula
- arXiv
Tuning superconductivity in twisted bilayer graphene
text, January 2018
- Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy
- arXiv
Bond operator theory of doped antiferromagnets: from Mott insulators with bond-centered charge order, to superconductors with nodal fermions
text, January 2001
- Park, Kwon; Sachdev, Subir
- arXiv
Works referencing / citing this record:
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
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
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
Tuning superconductivity in twisted bilayer graphene
journal, January 2019
- Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy
- Science, Vol. 363, Issue 6431
Tuning superconductivity in twisted bilayer graphene
text, January 2018
- Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy
- 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
Geometric and conventional contribution to superfluid weight in twisted bilayer graphene
text, January 2019
- Hu, Xiang; Hyart, Timo; Pikulin, Dmitry I.
- arXiv