Charge- 4e Superconductivity from Multicomponent Nematic Pairing: Application to Twisted Bilayer Graphene
We show that unconventional nematic superconductors with multicomponent order parameter in lattices with three- and sixfold rotational symmetries support a charge-4e vestigial superconducting phase above T_{c}. The charge-4e state, which is a condensate of four-electron bound states that preserve th...
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American Physical Society (APS)
2022
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Online Access: | https://hdl.handle.net/1721.1/141844 |
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author | Fernandes, Rafael M Fu, Liang |
author2 | Massachusetts Institute of Technology. Department of Physics |
author_facet | Massachusetts Institute of Technology. Department of Physics Fernandes, Rafael M Fu, Liang |
author_sort | Fernandes, Rafael M |
collection | MIT |
description | We show that unconventional nematic superconductors with multicomponent order parameter in lattices with three- and sixfold rotational symmetries support a charge-4e vestigial superconducting phase above T_{c}. The charge-4e state, which is a condensate of four-electron bound states that preserve the rotational symmetry of the lattice, is nearly degenerate with a competing vestigial nematic state, which is nonsuperconducting and breaks the rotational symmetry. This robust result is the consequence of a hidden discrete symmetry in the Ginzburg-Landau theory, which permutes quantities in the gauge sector and in the crystalline sector of the symmetry group. We argue that random strain generally favors the charge-4e state over the nematic phase, as it acts as a random mass to the former but as a random field to the latter. Thus, we propose that two-dimensional inhomogeneous systems displaying nematic superconductivity, such as twisted bilayer graphene, provide a promising platform to realize the elusive charge-4e superconducting phase. |
first_indexed | 2024-09-23T11:28:47Z |
format | Article |
id | mit-1721.1/141844 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T11:28:47Z |
publishDate | 2022 |
publisher | American Physical Society (APS) |
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spelling | mit-1721.1/1418442023-01-24T21:36:46Z Charge- 4e Superconductivity from Multicomponent Nematic Pairing: Application to Twisted Bilayer Graphene Fernandes, Rafael M Fu, Liang Massachusetts Institute of Technology. Department of Physics We show that unconventional nematic superconductors with multicomponent order parameter in lattices with three- and sixfold rotational symmetries support a charge-4e vestigial superconducting phase above T_{c}. The charge-4e state, which is a condensate of four-electron bound states that preserve the rotational symmetry of the lattice, is nearly degenerate with a competing vestigial nematic state, which is nonsuperconducting and breaks the rotational symmetry. This robust result is the consequence of a hidden discrete symmetry in the Ginzburg-Landau theory, which permutes quantities in the gauge sector and in the crystalline sector of the symmetry group. We argue that random strain generally favors the charge-4e state over the nematic phase, as it acts as a random mass to the former but as a random field to the latter. Thus, we propose that two-dimensional inhomogeneous systems displaying nematic superconductivity, such as twisted bilayer graphene, provide a promising platform to realize the elusive charge-4e superconducting phase. 2022-04-12T12:38:36Z 2022-04-12T12:38:36Z 2021 2022-04-12T12:32:03Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/141844 Fernandes, Rafael M and Fu, Liang. 2021. "Charge- 4e Superconductivity from Multicomponent Nematic Pairing: Application to Twisted Bilayer Graphene." Physical Review Letters, 127 (4). en 10.1103/PHYSREVLETT.127.047001 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS |
spellingShingle | Fernandes, Rafael M Fu, Liang Charge- 4e Superconductivity from Multicomponent Nematic Pairing: Application to Twisted Bilayer Graphene |
title | Charge- 4e Superconductivity from Multicomponent Nematic Pairing: Application to Twisted Bilayer Graphene |
title_full | Charge- 4e Superconductivity from Multicomponent Nematic Pairing: Application to Twisted Bilayer Graphene |
title_fullStr | Charge- 4e Superconductivity from Multicomponent Nematic Pairing: Application to Twisted Bilayer Graphene |
title_full_unstemmed | Charge- 4e Superconductivity from Multicomponent Nematic Pairing: Application to Twisted Bilayer Graphene |
title_short | Charge- 4e Superconductivity from Multicomponent Nematic Pairing: Application to Twisted Bilayer Graphene |
title_sort | charge 4e superconductivity from multicomponent nematic pairing application to twisted bilayer graphene |
url | https://hdl.handle.net/1721.1/141844 |
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