2021-09-28T08:45:11Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000169272021-03-01T17:56:35ZSuperconductivity and Abelian chiral anomalies初貝, 安弘Hatsugai, Y.Ryu, S.Kohmoto, M.application/pdfMotivated 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.journal articleAmerican Physical Society2004-08application/pdfPhysical review B570054502http://hdl.handle.net/2241/1008311098-0121AA11187113https://tsukuba.repo.nii.ac.jp/record/16927/files/PRB_70-5.pdfeng10.1103/PhysRevB.70.054502©2004 The American Physical Society