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Superconductivity in monolayer and few-layer graphene. I. Review of possible pairing symmetries and basic electronic properties

Pangburn, Emile ; Haurie, Louis ; Crépieux, Adeline ; Awoga, Oladunjoye A. LU ; Black-Schaffer, Annica M. ; Pépin, Catherine and Bena, Cristina (2023) In Physical Review B 108(13).
Abstract

We review all symmetry-allowed spin-singlet and spin-triplet superconducting order parameters in graphene (s-wave, d-wave, p-wave, and f-wave) generated by generic on-site, nearest-neighbor, and next-nearest-neighbor pairing interactions in a tight-binding model. For each pairing channel, we calculate both the band structure and the dependence of the density of states on energy, chemical potential, and pairing strength. In particular, we distinguish between nodal superconducting states and fully gapped states and study the dependence of gap closing points on the chemical potential and the superconducting pairing strength. We further investigate the difference between mono-, bi-, and trilayer ABC and ABA graphene, including accounting... (More)

We review all symmetry-allowed spin-singlet and spin-triplet superconducting order parameters in graphene (s-wave, d-wave, p-wave, and f-wave) generated by generic on-site, nearest-neighbor, and next-nearest-neighbor pairing interactions in a tight-binding model. For each pairing channel, we calculate both the band structure and the dependence of the density of states on energy, chemical potential, and pairing strength. In particular, we distinguish between nodal superconducting states and fully gapped states and study the dependence of gap closing points on the chemical potential and the superconducting pairing strength. We further investigate the difference between mono-, bi-, and trilayer ABC and ABA graphene, including accounting for the effects of trigonal warping.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B
volume
108
issue
13
article number
134514
publisher
American Physical Society
external identifiers
  • scopus:85177094399
ISSN
2469-9950
DOI
10.1103/PhysRevB.108.134514
language
English
LU publication?
yes
id
77ecf811-9e6b-4fa4-89b3-d9e2bf8d01d8
date added to LUP
2024-01-02 15:24:08
date last changed
2024-01-08 10:22:55
@article{77ecf811-9e6b-4fa4-89b3-d9e2bf8d01d8,
  abstract     = {{<p>We review all symmetry-allowed spin-singlet and spin-triplet superconducting order parameters in graphene (s-wave, d-wave, p-wave, and f-wave) generated by generic on-site, nearest-neighbor, and next-nearest-neighbor pairing interactions in a tight-binding model. For each pairing channel, we calculate both the band structure and the dependence of the density of states on energy, chemical potential, and pairing strength. In particular, we distinguish between nodal superconducting states and fully gapped states and study the dependence of gap closing points on the chemical potential and the superconducting pairing strength. We further investigate the difference between mono-, bi-, and trilayer ABC and ABA graphene, including accounting for the effects of trigonal warping.</p>}},
  author       = {{Pangburn, Emile and Haurie, Louis and Crépieux, Adeline and Awoga, Oladunjoye A. and Black-Schaffer, Annica M. and Pépin, Catherine and Bena, Cristina}},
  issn         = {{2469-9950}},
  language     = {{eng}},
  month        = {{10}},
  number       = {{13}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B}},
  title        = {{Superconductivity in monolayer and few-layer graphene. I. Review of possible pairing symmetries and basic electronic properties}},
  url          = {{http://dx.doi.org/10.1103/PhysRevB.108.134514}},
  doi          = {{10.1103/PhysRevB.108.134514}},
  volume       = {{108}},
  year         = {{2023}},
}