Refined symmetry indicators for topological superconductors in all space groups.

Abstract:

:Topological superconductors are exotic phases of matter featuring robust surface states that could be leveraged for topological quantum computation. A useful guiding principle for the search of topological superconductors is to relate the topological invariants with the behavior of the pairing order parameter on the normal-state Fermi surfaces. The existing formulas, however, become inadequate for the prediction of the recently proposed classes of topological crystalline superconductors. In this work, we advance the theory of symmetry indicators for topological (crystalline) superconductors to cover all space groups. Our main result is the exhaustive computation of the indicator groups for superconductors under a variety of symmetry settings. We further illustrate the power of this approach by analyzing fourfold symmetric superconductors with or without inversion symmetry and show that the indicators can diagnose topological superconductors with surface states of different dimensionalities or dictate gaplessness in the bulk excitation spectrum.

journal_name

Sci Adv

journal_title

Science advances

authors

Ono S,Po HC,Watanabe H

doi

10.1126/sciadv.aaz8367

subject

Has Abstract

pub_date

2020-05-01 00:00:00

pages

eaaz8367

issue

18

issn

2375-2548

pii

aaz8367

journal_volume

6

pub_type

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