Quantum Hall superconductivity from moiré Landau levels

Chaudhary, Gaurav; MacDonald, A. H.; Norman, M. R.

doi:10.1103/PhysRevResearch.3.033260

Title: Quantum Hall superconductivity from moiré Landau levels

Journal Article · 17 September 2021 · Physical Review Research

DOI: https://doi.org/10.1103/PhysRevResearch.3.033260 · OSTI ID:1822519

; MacDonald, A. H.; Norman, M. R.

Not Available

View Journal Article

Cite

Export

Save

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

OSTI ID:: 1822519

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 3 Vol. 3; ISSN 2643-1564; ISSN PPRHAI

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (62)

Mean-field superconductivity in a strong magnetic field Norman, M. R.; Akera, H.; MacDonald, A. H. Physica C: Superconductivity, Vol. 196, Issue 1-2 https://doi.org/10.1016/0921-4534(92)90135-Y	journal	June 1992
Fault-tolerant quantum computation by anyons Kitaev, A. Yu. Annals of Physics, Vol. 303, Issue 1 https://doi.org/10.1016/S0003-4916(02)00018-0	journal	January 2003
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Demir, Ahmet Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26154	journal	March 2018
Unconventional superconductivity in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Fang, Shiang Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26160	journal	March 2018
Superfluidity in topologically nontrivial flat bands Peotta, Sebastiano; Törmä, Päivi Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9944	journal	November 2015
Superconductivity from valley fluctuations and approximate SO(4) symmetry in a weak coupling theory of twisted bilayer graphene You, Yi-Zhuang; Vishwanath, Ashvin npj Quantum Materials, Vol. 4, Issue 1 https://doi.org/10.1038/s41535-019-0153-4	journal	April 2019
Graphene bilayers with a twist Andrei, Eva Y.; MacDonald, Allan H. Nature Materials, Vol. 19, Issue 12 https://doi.org/10.1038/s41563-020-00840-0	journal	November 2020
Chern insulators, van Hove singularities and topological flat bands in magic-angle twisted bilayer graphene Wu, Shuang; Zhang, Zhenyuan; Watanabe, K. Nature Materials, Vol. 20, Issue 4 https://doi.org/10.1038/s41563-020-00911-2	journal	February 2021
Hofstadter subband ferromagnetism and symmetry-broken Chern insulators in twisted bilayer graphene Saito, Yu; Ge, Jingyuan; Rademaker, Louk Nature Physics, Vol. 17, Issue 4 https://doi.org/10.1038/s41567-020-01129-4	journal	January 2021
Quantum breakdown of superconductivity in low-dimensional materials Sacépé, Benjamin; Feigel’man, Mikhail; Klapwijk, Teunis M. Nature Physics, Vol. 16, Issue 7 https://doi.org/10.1038/s41567-020-0905-x	journal	July 2020
Symmetry-broken Chern insulators and Rashba-like Landau-level crossings in magic-angle bilayer graphene Das, Ipsita; Lu, Xiaobo; Herzog-Arbeitman, Jonah Nature Physics, Vol. 17, Issue 6 https://doi.org/10.1038/s41567-021-01186-3	journal	March 2021
Signatures of tunable superconductivity in a trilayer graphene moiré superlattice Chen, Guorui; Sharpe, Aaron L.; Gallagher, Patrick Nature, Vol. 572, Issue 7768 https://doi.org/10.1038/s41586-019-1393-y	journal	July 2019
Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene Lu, Xiaobo; Stepanov, Petr; Yang, Wei Nature, Vol. 574, Issue 7780 https://doi.org/10.1038/s41586-019-1695-0	journal	October 2019
Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice Chen, Guorui; Sharpe, Aaron L.; Fox, Eli J. Nature, Vol. 579, Issue 7797 https://doi.org/10.1038/s41586-020-2049-7	journal	March 2020
Mapping the twist-angle disorder and Landau levels in magic-angle graphene Uri, A.; Grover, S.; Cao, Y. Nature, Vol. 581, Issue 7806 https://doi.org/10.1038/s41586-020-2255-3	journal	May 2020
Tunable spin-polarized correlated states in twisted double bilayer graphene Liu, Xiaomeng; Hao, Zeyu; Khalaf, Eslam Nature, Vol. 583, Issue 7815 https://doi.org/10.1038/s41586-020-2458-7	journal	July 2020
Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene Park, Jeong Min; Cao, Yuan; Watanabe, Kenji Nature, Vol. 590, Issue 7845 https://doi.org/10.1038/s41586-021-03192-0	journal	February 2021
Flavour Hund’s coupling, Chern gaps and charge diffusivity in moiré graphene Park, Jeong Min; Cao, Yuan; Watanabe, Kenji Nature, Vol. 592, Issue 7852 https://doi.org/10.1038/s41586-021-03366-w	journal	March 2021
Pauli-limit violation and re-entrant superconductivity in moiré graphene Cao, Yuan; Park, Jeong Min; Watanabe, Kenji Nature, Vol. 595, Issue 7868 https://doi.org/10.1038/s41586-021-03685-y	journal	July 2021
Quantum Mechanics and Superconductivity in a Magnetic Field MacDonald, Ah; Akera, Hiroshi; Norman, Mr Australian Journal of Physics, Vol. 46, Issue 3 https://doi.org/10.1071/PH930333	journal	January 1993
Electrostatic effects, band distortions, and superconductivity in twisted graphene bilayers Guinea, Francisco; Walet, Niels R. Proceedings of the National Academy of Sciences, Vol. 115, Issue 52 https://doi.org/10.1073/pnas.1810947115	journal	December 2018
Unconventional quantum vortex matter state hosts quantum oscillations in the underdoped high-temperature cuprate superconductors Hsu, Yu-Te; Hartstein, Máté; Davies, Alexander J. Proceedings of the National Academy of Sciences, Vol. 118, Issue 7 https://doi.org/10.1073/pnas.2021216118	journal	February 2021
Multiple flat bands and topological Hofstadter butterfly in twisted bilayer graphene close to the second magic angle Lu, Xiaobo; Lian, Biao; Chaudhary, Gaurav Proceedings of the National Academy of Sciences, Vol. 118, Issue 30 https://doi.org/10.1073/pnas.2100006118	journal	July 2021
New directions in the pursuit of Majorana fermions in solid state systems Alicea, Jason Reports on Progress in Physics, Vol. 75, Issue 7 https://doi.org/10.1088/0034-4885/75/7/076501	journal	June 2012
Effect of Orbital Quantization on the Critical Field of Type-II Superconductors Gruenberg, L. W.; Gunther, L. Physical Review, Vol. 176, Issue 2 https://doi.org/10.1103/PhysRev.176.606	journal	December 1968
Vortex-lattice structure and topological superconductivity in the quantum Hall regime Chaudhary, Gaurav; MacDonald, Allan H. Physical Review B, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevB.101.024516	journal	January 2020
Quantum Hall spin liquids and their possible realization in moiré systems Zhang, Ya-Hui; Senthil, T. Physical Review B, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevB.102.115127	journal	September 2020
Quantum geometric contributions to the BKT transition: Beyond mean field theory Wang, Zhiqiang; Chaudhary, Gaurav; Chen, Qijin Physical Review B, Vol. 102, Issue 18 https://doi.org/10.1103/PhysRevB.102.184504	journal	November 2020
Dirac imprints on the g -factor anisotropy in graphene Prada, M.; Tiemann, L.; Sichau, J. Physical Review B, Vol. 104, Issue 7 https://doi.org/10.1103/PhysRevB.104.075401	journal	August 2021
Magnetic quantization and the upper critical field of superconductors Norman, M. R. Physical Review B, Vol. 42, Issue 10 https://doi.org/10.1103/PhysRevB.42.6762	journal	October 1990
Superconductivity in a very high magnetic field Tešanović, Zlatko; Rasolt, Mark; Xing, Lei Physical Review B, Vol. 43, Issue 1 https://doi.org/10.1103/PhysRevB.43.288	journal	January 1991
Linearized gap equation for a superconductor in a strong magnetic field Rajagopal, A. K.; Vasudevan, R. Physical Review B, Vol. 44, Issue 6 https://doi.org/10.1103/PhysRevB.44.2807	journal	August 1991
Landau quantization and particle-particle ladder sums in a magnetic field MacDonald, A. H.; Akera, H.; Norman, M. R. Physical Review B, Vol. 45, Issue 17 https://doi.org/10.1103/PhysRevB.45.10147	journal	May 1992
Density of states of a type-II superconductor in a high magnetic field: Impurity effects Dukan, Saša; Tešanović, Zlatko Physical Review B, Vol. 56, Issue 2 https://doi.org/10.1103/PhysRevB.56.838	journal	July 1997
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect Read, N.; Green, Dmitry Physical Review B, Vol. 61, Issue 15 https://doi.org/10.1103/PhysRevB.61.10267	journal	April 2000
Reentrant superconductivity in a strong applied field within the tight-binding model Maśka, Maciej M. Physical Review B, Vol. 66, Issue 5 https://doi.org/10.1103/PhysRevB.66.054533	journal	August 2002
General pairing theory for condensed and noncondensed Cooper pairs of a superconductor in a high magnetic field Scherpelz, Peter; Wulin, Dan; Šopík, Břetislav Physical Review B, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevB.87.024516	journal	January 2013
Topological superconductivity in quantum Hall–superconductor hybrid systems Zocher, Björn; Rosenow, Bernd Physical Review B, Vol. 93, Issue 21 https://doi.org/10.1103/PhysRevB.93.214504	journal	June 2016
Band geometry, Berry curvature, and superfluid weight Liang, Long; Vanhala, Tuomas I.; Peotta, Sebastiano Physical Review B, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevB.95.024515	journal	January 2017
Strong Landau-quantization effects in high-magnetic-field superconductivity of a two-dimensional multiple-band metal near the Lifshitz transition Song, Kok Wee; Koshelev, Alexei E. Physical Review B, Vol. 95, Issue 17 https://doi.org/10.1103/PhysRevB.95.174503	journal	May 2017
Phases of a phenomenological model of twisted bilayer graphene Dodaro, J. F.; Kivelson, S. A.; Schattner, Y. Physical Review B, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevB.98.075154	journal	August 2018
Unconventional topological superconductivity and phase diagram for an effective two-orbital model as applied to twisted bilayer graphene Fidrysiak, M.; Zegrodnik, M.; Spałek, J. Physical Review B, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevB.98.085436	journal	August 2018
Mean-field theory for superconductivity in twisted bilayer graphene Peltonen, Teemu J.; Ojajärvi, Risto; Heikkilä, Tero T. Physical Review B, Vol. 98, Issue 22 https://doi.org/10.1103/PhysRevB.98.220504	journal	December 2018
Strong correlations and d + id superconductivity in twisted bilayer graphene Kennes, Dante M.; Lischner, Johannes; Karrasch, Christoph Physical Review B, Vol. 98, Issue 24 https://doi.org/10.1103/PhysRevB.98.241407	journal	December 2018
Topological superconductivity in Landau levels Jeon, Gun Sang; Jain, J. K.; Liu, C. -X. Physical Review B, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevB.99.094509	journal	March 2019
Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands Wu, Fengcheng; Lovorn, Timothy; Tutuc, Emanuel Physical Review Letters, Vol. 121, Issue 2 https://doi.org/10.1103/PhysRevLett.121.026402	journal	July 2018
Chiral Spin Density Wave and d + i d Superconductivity in the Magic-Angle-Twisted Bilayer Graphene Liu, Cheng-Cheng; Zhang, Li-Da; Chen, Wei-Qiang Physical Review Letters, Vol. 121, Issue 21 https://doi.org/10.1103/PhysRevLett.121.217001	journal	November 2018
Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene Wu, Fengcheng; MacDonald, A. H.; Martin, Ivar Physical Review Letters, Vol. 121, Issue 25 https://doi.org/10.1103/PhysRevLett.121.257001	journal	December 2018
Twisted Bilayer Graphene: A Phonon-Driven Superconductor Lian, Biao; Wang, Zhijun; Bernevig, B. Andrei Physical Review Letters, Vol. 122, Issue 25 https://doi.org/10.1103/PhysRevLett.122.257002	journal	June 2019
Strange Metal in Magic-Angle Graphene with near Planckian Dissipation Cao, Yuan; Chowdhury, Debanjan; Rodan-Legrain, Daniel Physical Review Letters, Vol. 124, Issue 7 https://doi.org/10.1103/PhysRevLett.124.076801	journal	February 2020
Quantum limit of a flux lattice: Superconductivity and magnetic field in a new relationship Tešanović, Zlatko; Rasolt, Mark; Xing, Lei Physical Review Letters, Vol. 63, Issue 21 https://doi.org/10.1103/PhysRevLett.63.2425	journal	November 1989
Vortex-lattice states at strong magnetic fields Akera, H.; MacDonald, A.; Girvin, S. Physical Review Letters, Vol. 67, Issue 17 https://doi.org/10.1103/PhysRevLett.67.2375	journal	October 1991
Non-Abelian Statistics of Half-Quantum Vortices in p -Wave Superconductors Ivanov, D. A. Physical Review Letters, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevLett.86.268	journal	January 2001
Landau-Level Degeneracy and Quantum Hall Effect in a Graphite Bilayer McCann, Edward; Fal’ko, Vladimir I. Physical Review Letters, Vol. 96, Issue 8 https://doi.org/10.1103/PhysRevLett.96.086805	journal	March 2006
Ground State and Hidden Symmetry of Magic-Angle Graphene at Even Integer Filling Bultinck, Nick; Khalaf, Eslam; Liu, Shang Physical Review X, Vol. 10, Issue 3 https://doi.org/10.1103/PhysRevX.10.031034	journal	August 2020
Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene Isobe, Hiroki; Yuan, Noah F. Q.; Fu, Liang Physical Review X, Vol. 8, Issue 4 https://doi.org/10.1103/PhysRevX.8.041041	journal	December 2018
Theoretical aspects of superconductivity in very high magnetic fields Rasolt, Mark; Tes̆anović, Zlatko Reviews of Modern Physics, Vol. 64, Issue 3 https://doi.org/10.1103/RevModPhys.64.709	journal	July 1992
Non-Abelian anyons and topological quantum computation Nayak, Chetan; Simon, Steven H.; Stern, Ady Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.1083	journal	September 2008
Charged skyrmions and topological origin of superconductivity in magic-angle graphene Khalaf, Eslam; Chatterjee, Shubhayu; Bultinck, Nick Science Advances, Vol. 7, Issue 19 https://doi.org/10.1126/sciadv.abf5299	journal	May 2021
Tuning superconductivity in twisted bilayer graphene Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy Science, Vol. 363, Issue 6431 https://doi.org/10.1126/science.aav1910	journal	January 2019
Intrinsic quantized anomalous Hall effect in a moiré heterostructure Serlin, M.; Tschirhart, C. L.; Polshyn, H. Science, Vol. 367, Issue 6480 https://doi.org/10.1126/science.aay5533	journal	December 2019
Topological Phases with Parafermions: Theory and Blueprints Alicea, Jason; Fendley, Paul Annual Review of Condensed Matter Physics, Vol. 7, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031115-011336	journal	March 2016

Similar Records

Landau level mixing and the fractional quantum Hall effect

Journal Article · 2013 · Physical Review B · OSTI ID:1103857

Sodemann, I.; MacDonald, A. H.

Integer quantum Hall transition in a fraction of a Landau level

Journal Article · 2018 · Physical Review B · OSTI ID:1417686

Ippoliti, Matteo; Geraedts, Scott D.; Bhatt, R. N.

Observation of Reentrant Integer Quantum Hall States in the Lowest Landau Level

Journal Article · 2012 · Physical Review Letters · OSTI ID:1102932

Liu, Yang; Pappas, C. G.; Shayegan, M.; +3 more

Title: Quantum Hall superconductivity from moiré Landau levels

Citation Formats

References (62)

Similar Records

Related Subjects