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Title: Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach

Abstract

Here, we study the superconducting pairing symmetry in twisted bilayer graphene by solving the Bogoliubov-de Gennes equation for all electrons in moiré supercells. With increasing the pairing potential, the system evolves from the mixed nontopological d + i d and p + i p phase to the s + p + d phase via the first-order phase transition. In the time-reversal symmetry breaking d + i d and p + i p phase, vortex and antivortex lattices accompanying spontaneous supercurrent are induced by the twist. The superconducting order parameter is nonuniform in the moiré unit cell. Nevertheless, the superconducting gap in the local density of states is identical in the unit cell. The twist-induced vortices and nontopological nature of the mixed d + i d and p + i p phase are not captured by the existing effective models. Our results suggest the importance of long-range pairing interaction for effective models.

Authors:
ORCiD logo [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1495154
Alternate Identifier(s):
OSTI ID: 1480366
Report Number(s):
LA-UR-18-26090
Journal ID: ISSN 2469-9950; PRBMDO
Grant/Contract Number:  
89233218CNA000001; AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 19; 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

Citation Formats

Su, Ying, and Lin, Shizeng. Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.98.195101.
Su, Ying, & Lin, Shizeng. Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach. United States. https://doi.org/10.1103/PhysRevB.98.195101
Su, Ying, and Lin, Shizeng. Thu . "Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach". United States. https://doi.org/10.1103/PhysRevB.98.195101. https://www.osti.gov/servlets/purl/1495154.
@article{osti_1495154,
title = {Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach},
author = {Su, Ying and Lin, Shizeng},
abstractNote = {Here, we study the superconducting pairing symmetry in twisted bilayer graphene by solving the Bogoliubov-de Gennes equation for all electrons in moiré supercells. With increasing the pairing potential, the system evolves from the mixed nontopological d + i d and p + i p phase to the s + p + d phase via the first-order phase transition. In the time-reversal symmetry breaking d + i d and p + i p phase, vortex and antivortex lattices accompanying spontaneous supercurrent are induced by the twist. The superconducting order parameter is nonuniform in the moiré unit cell. Nevertheless, the superconducting gap in the local density of states is identical in the unit cell. The twist-induced vortices and nontopological nature of the mixed d + i d and p + i p phase are not captured by the existing effective models. Our results suggest the importance of long-range pairing interaction for effective models.},
doi = {10.1103/PhysRevB.98.195101},
url = {https://www.osti.gov/biblio/1495154}, journal = {Physical Review B},
issn = {2469-9950},
number = 19,
volume = 98,
place = {United States},
year = {2018},
month = {11}
}

Journal Article:

Citation Metrics:
Cited by: 18 works
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Works referenced in this record:

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    High-TC Superconductivity Originating from Interlayer Coulomb Coupling in Gate-Charged Twisted Bilayer Graphene Moiré Superlattices
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    Possible nodeless s ± -wave superconductivity in twisted bilayer graphene
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    Bogoliubov Fermi surfaces stabilized by spin-orbit coupling
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    Experimental consequences of Bogoliubov Fermi surfaces
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    Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene
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    Charge-transfer insulation in twisted bilayer graphene
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    Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
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    Spin-triplet f -wave pairing in twisted bilayer graphene near 1 4 -filling
    journal, March 2019


    Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene
    journal, April 2019


    Flat bands in twisted double bilayer graphene
    journal, June 2019


    Origin of Magic Angles in Twisted Bilayer Graphene
    journal, March 2019


    Twisted Bilayer Graphene: A Phonon-Driven Superconductor
    journal, June 2019


    Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene
    journal, January 2020


    Twisted bilayer graphene aligned with hexagonal boron nitride: Anomalous Hall effect and a lattice model
    journal, November 2019


    Valley Jahn-Teller Effect in Twisted Bilayer Graphene
    journal, October 2019


    Tuning superconductivity in twisted bilayer graphene
    journal, January 2019


    Ground state superconducting pair correlations in twisted bilayer graphene
    journal, December 2019