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.
- 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:
- 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},
journal = {Physical Review B},
number = 19,
volume = 98,
place = {United States},
year = {Thu Nov 01 00:00:00 EDT 2018},
month = {Thu Nov 01 00:00:00 EDT 2018}
}
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