Superconductivity and Abelian chiral anomalies
Y. Hatsugai, S. Ryu, M. Kohmoto
DOI 10.1103/PhysRevB.70.054502 · 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
Motivated by the geometric character of spin Hall conductance, the topological invariants of generic superconductivity are discussed based on the Bogoliuvov-de Gennes equation on lattices. They are given by the Chern numbers of degenerate condensate bands for unitary order, which are realizations of Abelian chiral anomalies for non-Abelian connections. The three types of Chern numbers for the x, y, and z directions are given by covering degrees of some doubled surfaces around the Dirac monopoles. For nonunitary states, several topological invariants are defined by analyzing the so-called q helicity. Topological origins of the nodal structures of superconducting gaps are also discussed.
Similar papers
Topological quantum phase transitions in superconductivity on lattices
similarity 0.92Y. Hatsugai & S. Ryu
Source status unknown — claims are unverified
Superconductivity and Abelian Chiral Anomalies
similarity 0.91Y. Hatsugai et al. · 2003 · arXiv:cond-mat/0308332
Source status unknown — claims are unverified
Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials
similarity 0.90Hassan Shapourian et al.
Source status unknown — claims are unverified
Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
similarity 0.88Yukio Tanaka et al. · 2011 · arXiv:1105.4700
Source status unknown — claims are unverified
Topological d-wave superconductivity in two dimensions
similarity 0.88Youichi Yanase et al. · 2021 · arXiv:2111.03804
Source status unknown — claims are unverified
Second Chern Number and Non-Abelian Berry Phase in Topological Superconducting Systems
similarity 0.88H. Weisbrich et al. · 2020 · arXiv:2008.08319
Source status unknown — claims are unverified