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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Main Authors: Fernandes, Rafael M, Fu, Liang
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society (APS) 2022
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.
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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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