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

Phases of a phenomenological model of twisted bilayer graphene

Journal Article · Tue Aug 28 00:00:00 EDT 2018 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.98.075154· OSTI ID:1475428

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

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.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1475428

Alternate ID(s):: OSTI ID: 1467152

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 7 Vol. 98; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene Wu, Fengcheng; Das Sarma, Sankar Physical Review Letters, Vol. 124, Issue 4 https://doi.org/10.1103/physrevlett.124.046403	journal	January 2020
Formation of Bloch Flat Bands in Polar Twisted Bilayers without Magic Angles Zhao, Xing-Ju; Yang, Yang; Zhang, Dong-Bo Physical Review Letters, Vol. 124, Issue 8 https://doi.org/10.1103/physrevlett.124.086401	journal	February 2020
Nature of the Correlated Insulator States in Twisted Bilayer Graphene Xie, Ming; MacDonald, A. H. Physical Review Letters, Vol. 124, Issue 9 https://doi.org/10.1103/physrevlett.124.097601	journal	March 2020
Twisted bilayer graphene aligned with hexagonal boron nitride: Anomalous Hall effect and a lattice model Zhang, Ya-Hui; Mao, Dan; Senthil, T. Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/physrevresearch.1.033126	journal	November 2019
Symmetry, Maximally Localized Wannier States, and a Low-Energy Model for Twisted Bilayer Graphene Narrow Bands Kang, Jian; Vafek, Oskar Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/physrevx.8.031088	journal	September 2018
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
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 Ahn, Junyeong; Park, Sungjoon; Yang, Bohm-Jung Physical Review X, Vol. 9, Issue 2 https://doi.org/10.1103/physrevx.9.021013	journal	April 2019
Valley Jahn-Teller Effect in Twisted Bilayer Graphene Angeli, M.; Tosatti, E.; Fabrizio, M. Physical Review X, Vol. 9, Issue 4 https://doi.org/10.1103/physrevx.9.041010	journal	October 2019
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
Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene Sharpe, Aaron L.; Fox, Eli J.; Barnard, Arthur W. Science, Vol. 365, Issue 6453 https://doi.org/10.1126/science.aaw3780	journal	July 2019
Charge-transfer insulation in twisted bilayer graphene Rademaker, Louk; Mellado, Paula arXiv https://doi.org/10.48550/arxiv.1805.05294	text	January 2018
Theory of phonon-mediated superconductivity in twisted bilayer graphene Wu, Fengcheng; MacDonald, A. H.; Martin, Ivar arXiv https://doi.org/10.48550/arxiv.1805.08735	text	January 2018
Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene González, J.; Stauber, T. arXiv https://doi.org/10.48550/arxiv.1807.01275	text	January 2018
Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach Su, Ying; Lin, Shi-Zeng arXiv https://doi.org/10.48550/arxiv.1807.02196	text	January 2018
Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene Po, Hoi Chun; Zou, Liujun; Senthil, T. arXiv https://doi.org/10.48550/arxiv.1808.02482	text	January 2018
Tuning superconductivity in twisted bilayer graphene Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy arXiv https://doi.org/10.48550/arxiv.1808.07865	text	January 2018
Pressure-Induced Metal-Insulator Transition in Twisted Bi-layer Graphene Padhi, Bikash; Phillips, Philip arXiv https://doi.org/10.48550/arxiv.1810.00884	text	January 2018
Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene Kozii, Vladyslav; Isobe, Hiroki; Venderbos, Jörn W. F. arXiv https://doi.org/10.48550/arxiv.1810.04159	text	January 2018
Phonon-induced giant linear-in-$T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity Wu, Fengcheng; Hwang, Euyheon; Sarma, Sankar Das arXiv https://doi.org/10.48550/arxiv.1811.04920	text	January 2018
Coupled Wire description of the Correlated Physics in Twisted Bilayer Graphene Wu, Xiao-Chuan; Jian, Chao-Ming; Xu, Cenke arXiv https://doi.org/10.48550/arxiv.1811.08442	text	January 2018
Enhanced correlations and superconductivity in weakly interacting partially flat band systems: a determinantal quantum Monte Carlo study Huang, Edwin W.; Vaezi, Mohammad-Sadegh; Nussinov, Zohar arXiv https://doi.org/10.48550/arxiv.1811.08848	text	January 2018
Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene Wu, Fengcheng arXiv https://doi.org/10.48550/arxiv.1811.10620	text	January 2018
Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle Seo, Kangjun; Kotov, Valeri N.; Uchoa, Bruno arXiv https://doi.org/10.48550/arxiv.1812.02550	text	January 2018
Magic of high order van Hove singularity Yuan, Noah F. Q.; Isobe, Hiroki; Fu, Liang arXiv https://doi.org/10.48550/arxiv.1901.05432	text	January 2019
Designing Flat Band by Strain Bi, Zhen; Yuan, Noah F. Q.; Fu, Liang arXiv https://doi.org/10.48550/arxiv.1902.10146	text	January 2019
Continuum models for twisted bilayer graphene: the effects of lattice deformation and hopping parameter Guinea, Francisco; Walet, Niels R. arXiv https://doi.org/10.48550/arxiv.1903.00364	text	January 2019
Electronic Compressibility of Magic-Angle Graphene Superlattices Tomarken, S. L.; Cao, Y.; Demir, A. arXiv https://doi.org/10.48550/arxiv.1903.10492	text	January 2019
Valley Jahn-Teller effect in twisted bilayer graphene Angeli, M.; Tosatti, E.; Fabrizio, M. arXiv https://doi.org/10.48550/arxiv.1904.06301	text	January 2019
Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain Wu, Fengcheng; Sarma, Sankar Das arXiv https://doi.org/10.48550/arxiv.1904.07875	text	January 2019
Superconductor versus insulator in twisted bilayer graphene Chou, Yang-Zhi; Lin, Yu-Ping; Sarma, Sankar Das arXiv https://doi.org/10.48550/arxiv.1906.10141	text	January 2019

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