Pseudospin Paramagnons and the Superconducting Dome in Magic Angle Twisted Bilayer Graphene
Abstract
We present a theory of superconductivity in twisted bilayer graphene in which attraction is generated between electrons on the same honeycomb sublattice when the system is close to a sublattice polarization instability. The resulting Cooper pairs are spin-polarized valley singlets. Because the sublattice polarizability is mainly contributed by interband fluctuations, superconductivity occurs over a wide range of filling fraction. It is suppressed by (i) applying a sublattice polarizing field (generated by an aligned BN substrate) or (ii) changing moiré band filling to favor valley polarization. The enhanced intrasublattice attraction close to sublattice polarization instability is analogous to enhanced like-spin attraction in liquid 3He near the melting curve and the enhanced valley-singlet repulsion close to valley-polarization instabilities is analogous to enhanced spin-singlet repulsion in metals that are close to a ferromagnetic instability. Here, we comment on the relationship between our pseudospin paramagnon model and the rich phenomenology of superconductivity in twisted bilayer and multilayer graphene.
- Authors:
-
- Univ. of Texas at Austin, TX (United States)
- Publication Date:
- Research Org.:
- Univ. of Texas at Austin, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1968438
- Grant/Contract Number:
- SC0022106
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 129; Journal Issue: 18; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Superconductivity; Graphene; Unconventional superconductors; Feynman diagrams
Citation Formats
Huang, Chunli, Wei, Nemin, Qin, Wei, and MacDonald, Allan H. Pseudospin Paramagnons and the Superconducting Dome in Magic Angle Twisted Bilayer Graphene. United States: N. p., 2022.
Web. doi:10.1103/physrevlett.129.187001.
Huang, Chunli, Wei, Nemin, Qin, Wei, & MacDonald, Allan H. Pseudospin Paramagnons and the Superconducting Dome in Magic Angle Twisted Bilayer Graphene. United States. https://doi.org/10.1103/physrevlett.129.187001
Huang, Chunli, Wei, Nemin, Qin, Wei, and MacDonald, Allan H. Mon .
"Pseudospin Paramagnons and the Superconducting Dome in Magic Angle Twisted Bilayer Graphene". United States. https://doi.org/10.1103/physrevlett.129.187001. https://www.osti.gov/servlets/purl/1968438.
@article{osti_1968438,
title = {Pseudospin Paramagnons and the Superconducting Dome in Magic Angle Twisted Bilayer Graphene},
author = {Huang, Chunli and Wei, Nemin and Qin, Wei and MacDonald, Allan H.},
abstractNote = {We present a theory of superconductivity in twisted bilayer graphene in which attraction is generated between electrons on the same honeycomb sublattice when the system is close to a sublattice polarization instability. The resulting Cooper pairs are spin-polarized valley singlets. Because the sublattice polarizability is mainly contributed by interband fluctuations, superconductivity occurs over a wide range of filling fraction. It is suppressed by (i) applying a sublattice polarizing field (generated by an aligned BN substrate) or (ii) changing moiré band filling to favor valley polarization. The enhanced intrasublattice attraction close to sublattice polarization instability is analogous to enhanced like-spin attraction in liquid 3He near the melting curve and the enhanced valley-singlet repulsion close to valley-polarization instabilities is analogous to enhanced spin-singlet repulsion in metals that are close to a ferromagnetic instability. Here, we comment on the relationship between our pseudospin paramagnon model and the rich phenomenology of superconductivity in twisted bilayer and multilayer graphene.},
doi = {10.1103/physrevlett.129.187001},
journal = {Physical Review Letters},
number = 18,
volume = 129,
place = {United States},
year = {Mon Oct 24 00:00:00 EDT 2022},
month = {Mon Oct 24 00:00:00 EDT 2022}
}
Works referenced in this record:
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
Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene
journal, October 2019
- Lu, Xiaobo; Stepanov, Petr; Yang, Wei
- Nature, Vol. 574, Issue 7780
Correlation-driven topological phases in magic-angle twisted bilayer graphene
journal, January 2021
- Choi, Youngjoon; Kim, Hyunjin; Peng, Yang
- Nature, Vol. 589, Issue 7843
Unconventional superconductivity in magic-angle graphene superlattices
journal, March 2018
- Cao, Yuan; Fatemi, Valla; Fang, Shiang
- Nature, Vol. 556, Issue 7699
Intrinsic quantized anomalous Hall effect in a moiré heterostructure
journal, December 2019
- Serlin, M.; Tschirhart, C. L.; Polshyn, H.
- Science, Vol. 367, Issue 6480
Isospin magnetism and spin-polarized superconductivity in Bernal bilayer graphene
journal, February 2022
- Zhou, Haoxin; Holleis, Ludwig; Saito, Yu
- Science, Vol. 375, Issue 6582
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
Weak-Field Hall Resistivity and Spin-Valley Flavor Symmetry Breaking in Magic-Angle Twisted Bilayer Graphene
journal, November 2021
- Xie, Ming; MacDonald, A. H.
- Physical Review Letters, Vol. 127, Issue 19
Isospin Pomeranchuk effect in twisted bilayer graphene
journal, April 2021
- Saito, Yu; Yang, Fangyuan; Ge, Jingyuan
- Nature, Vol. 592, Issue 7853
Tuning electron correlation in magic-angle twisted bilayer graphene using Coulomb screening
journal, March 2021
- Liu, Xiaoxue; Wang, Zhi; Watanabe, K.
- Science, Vol. 371, Issue 6535
Anisotropic Superfluidity in : A Possible Interpretation of Its Stability as a Spin-Fluctuation Effect
journal, May 1973
- Anderson, P. W.; Brinkman, W. F.
- Physical Review Letters, Vol. 30, Issue 22
Effect of Ferromagnetic Spin Correlations on Superconductivity
journal, August 1966
- Berk, N. F.; Schrieffer, J. R.
- Physical Review Letters, Vol. 17, Issue 8
Cascade of electronic transitions in magic-angle twisted bilayer graphene
journal, June 2020
- Wong, Dillon; Nuckolls, Kevin P.; Oh, Myungchul
- Nature, Vol. 582, Issue 7811
Strong electron-phonon coupling, electron-hole asymmetry, and nonadiabaticity in magic-angle twisted bilayer graphene
journal, December 2018
- Choi, Young Woo; Choi, Hyoung Joon
- Physical Review B, Vol. 98, Issue 24
Phenomenological theories of liquid 3He
journal, August 1983
- Levin, K.; Valls, O. T.
- Physics Reports, Vol. 98, Issue 1
Superconductivity in rhombohedral trilayer graphene
journal, September 2021
- Zhou, Haoxin; Xie, Tian; Taniguchi, Takashi
- Nature, Vol. 598, Issue 7881
Large linear-in-temperature resistivity in twisted bilayer graphene
journal, August 2019
- Polshyn, Hryhoriy; Yankowitz, Matthew; Chen, Shaowen
- Nature Physics, Vol. 15, Issue 10
Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene
journal, December 2018
- Wu, Fengcheng; MacDonald, A. H.; Martin, Ivar
- Physical Review Letters, Vol. 121, Issue 25
Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene
journal, February 2021
- Park, Jeong Min; Cao, Yuan; Watanabe, Kenji
- Nature, Vol. 590, Issue 7845
Untying the insulating and superconducting orders in magic-angle graphene
journal, July 2020
- Stepanov, Petr; Das, Ipsita; Lu, Xiaobo
- Nature, Vol. 583, Issue 7816
Electrostatic effects, band distortions, and superconductivity in twisted graphene bilayers
journal, December 2018
- Guinea, Francisco; Walet, Niels R.
- Proceedings of the National Academy of Sciences, Vol. 115, Issue 52
Effective two-body interaction in Coulomb Fermi liquids
journal, August 1985
- Vignale, G.; Singwi, K. S.
- Physical Review B, Vol. 32, Issue 4
Superconductivity in metallic twisted bilayer graphene stabilized by WSe2
journal, July 2020
- Arora, Harpreet Singh; Polski, Robert; Zhang, Yiran
- Nature, Vol. 583, Issue 7816
Coulomb interaction, phonons, and superconductivity in twisted bilayer graphene
journal, August 2021
- Cea, Tommaso; Guinea, Francisco
- Proceedings of the National Academy of Sciences, Vol. 118, Issue 32
Independent superconductors and correlated insulators in twisted bilayer graphene
journal, June 2020
- Saito, Yu; Ge, Jingyuan; Watanabe, Kenji
- Nature Physics, Vol. 16, Issue 9
Electronic band structure and pinning of Fermi energy to Van Hove singularities in twisted bilayer graphene: A self-consistent approach
journal, November 2019
- Cea, Tommaso; Walet, Niels R.; Guinea, Francisco
- Physical Review B, Vol. 100, Issue 20
Cascade of phase transitions and Dirac revivals in magic-angle graphene
journal, June 2020
- Zondiner, U.; Rozen, A.; Rodan-Legrain, D.
- Nature, Vol. 582, Issue 7811
Competing Zero-Field Chern Insulators in Superconducting Twisted Bilayer Graphene
journal, November 2021
- Stepanov, Petr; Xie, Ming; Taniguchi, Takashi
- Physical Review Letters, Vol. 127, Issue 19
Tuning superconductivity in twisted bilayer graphene
journal, January 2019
- Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy
- Science, Vol. 363, Issue 6431
Transport spectroscopy of symmetry-broken insulating states in bilayer graphene
journal, January 2012
- Velasco, J.; Jing, L.; Bao, W.
- Nature Nanotechnology, Vol. 7, Issue 3
Competition of electron-phonon mediated superconductivity and Stoner magnetism on a flat band
journal, August 2018
- Ojajärvi, Risto; Hyart, Timo; Silaev, Mihail A.
- Physical Review B, Vol. 98, Issue 5
Gate-defined Josephson junctions in magic-angle twisted bilayer graphene
journal, May 2021
- de Vries, Folkert K.; Portolés, Elías; Zheng, Giulia
- Nature Nanotechnology, Vol. 16, Issue 7
Pauli-limit violation and re-entrant superconductivity in moiré graphene
journal, July 2021
- Cao, Yuan; Park, Jeong Min; Watanabe, Kenji
- Nature, Vol. 595, Issue 7868
Pseudospin order in monolayer, bilayer and double-layer graphene
journal, January 2012
- MacDonald, A. H.; Jung, Jeil; Zhang, Fan
- Physica Scripta, Vol. T146
Equation of state of two-dimensional3 He at zero temperature
journal, May 2012
- Nava, M.; Motta, A.; Galli, D. E.
- Physical Review B, Vol. 85, Issue 18
Quantized Transport in Graphene p-n Junctions in a Magnetic Field
journal, August 2007
- Abanin, D. A.; Levitov, L. S.
- Science, Vol. 317, Issue 5838
Heavy-electron superconductors, spin fluctuations, and triplet pairing
journal, August 1984
- Anderson, P. W.
- Physical Review B, Vol. 30, Issue 3
Strange Metal in Magic-Angle Graphene with near Planckian Dissipation
journal, February 2020
- Cao, Yuan; Chowdhury, Debanjan; Rodan-Legrain, Daniel
- Physical Review Letters, Vol. 124, Issue 7