Topological invariants for the Fermi surface of a time-reversal-invariant superconductor
Xiao-Liang Qi, Taylor L. Hughes, Shou-Cheng Zhang
DOI 10.1103/PhysRevB.81.134508 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
A time-reversal-invariant (TRI) topological superconductor has a full pairing gap in the bulk and topologically protected gapless states on the surface or at the edge. In this paper, we show that in the weak pairing limit, the topological quantum number of a TRI superconductor can be completely determined by the Fermi-surface properties and is independent of the electronic structure away from the Fermi surface. In three dimensions, the integer topological quantum number in a TRI superconductor is determined by the sign of the pairing order parameter and the first Chern number of the Berry phase gauge field on the Fermi surfaces. In two dimensions and one dimension, the Z2 topological quantum number of a TRI superconductor is determined simply by the sign of the pairing order parameter on the Fermi surfaces. Our results could directly aid the search for topological superconductors in real materials.
Similar papers
Topological invariant for generic one-dimensional time-reversal-symmetric superconductors in class DIII
similarity 0.89Jan Carl Budich & Eddy Ardonne
Source status unknown — claims are unverified
Highly tunable time-reversal-invariant topological superconductivity in topological insulator thin films
similarity 0.89Fariborz Parhizgar & Annica M. Black-Schaffer · 2016 · arXiv:1609.01038
Source status unknown — claims are unverified
Chiral topological superconductivity in twisted bilayer and double bilayer graphene
similarity 0.88Kamalesh Bera et al. · 2025 · arXiv:2512.17380
Source status unknown — claims are unverified
Proximity-induced superconductivity at nonhelical topological insulator interfaces
similarity 0.88David J. Alspaugh et al.
Source status unknown — claims are unverified
Mechanism, time-reversal symmetry and topology of superconductivity in noncentrosymmetric systems
similarity 0.87Scheurer, Mathias S. · 2016 · arXiv:1601.05459
Source status unknown — claims are unverified
Engineering chiral topological superconductivity in twisted Ising superconductors
similarity 0.87Xiaodong Hu & Ying Ran
Source status unknown — claims are unverified