Explicit Gauge Fixing for Degenerate Multiplets: A Generic Setup for Topological Orders

Details Explicit Gauge Fixing for Degenerate Multiplets: A Generic Setup for Topological Orders Explicit Gauge Fixing for Degenerate Multiplets: A Generic Setup for Topological Orders

2004-05-24

arxiv.org/abs/cond-mat/0405551v2

J. Phys. Soc. Jpn. 73, 2604, (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Almost final version. (Topological) Degeneracy is stressed

Scientific paper

10.1143/JPSJ.73.2604

We supply basic tools for the study of the topological order of a multiplet which is an eigenspace of a finite-dimensional normal operator with continuous parameters. We allow intrinsic degeneracies within the multiplet where a well-known standard procedure does not work. As an important example, we give novel expressions for a spin Hall conductance for unitary superconductors with equal spin pairing. Generic topological orders will be treated in this unified manner particularly with nontrivial topological degeneracies.

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