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:
-
- 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:
- 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.
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
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.
@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}
}
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- Zou, Liujun; Po, Hoi Chun; Vishwanath, Ashvin
- Physical Review B, Vol. 98, Issue 8
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
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
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
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
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
Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
text, January 2018
- Isobe, Hiroki; Yuan, Noah F. Q.; Fu, Liang
- arXiv
Electrostatic effects, band distortions and superconductivity in twisted graphene bilayers
text, January 2018
- Guinea, Francisco; Walet, Niels R.
- arXiv
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
Cascade of Phase Transitions and Dirac Revivals in Magic Angle Graphene
text, January 2019
- Zondiner, Uri; Rozen, Asaf; Rodan-Legrain, Daniel
- arXiv
Current-induced reversal of anomalous Hall conductance in twisted bilayer graphene
text, January 2020
- Su, Ying; Lin, Shi-Zeng
- 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
Josephson effect in graphene bilayers with adjustable relative displacement
text, January 2020
- Alidoust, Mohammad; Jauho, Antti-Pekka; Akola, Jaakko
- arXiv
Critical magnetic fields and electron-pairing in magic-angle twisted bilayer graphene
preprint, January 2021
- Qin, Wei; Zou, Bo; MacDonald, Allan H.
- arXiv