Anomaly Indicators for Time-Reversal Symmetric Topological Orders

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

29 Scopus Citations
View graph of relations

Author(s)

Detail(s)

Original languageEnglish
Article number136801
Journal / PublicationPhysical Review Letters
Volume119
Issue number13
Online published26 Sept 2017
Publication statusPublished - 29 Sept 2017
Externally publishedYes

Abstract

Some time-reversal symmetric topological orders are anomalous in that they cannot be realized in strictly two-dimensional systems; instead,they can only be realized on the surface of three-dimensional symmetry-protected topological phases. We propose two quantities, which we call anomaly indicators, that can detect if a time-reversal symmetric topological order is anomalous in this sense. Both anomaly indicators are expressed in terms of the quantum dimensions, topological spins, and time-reversal properties of the anyons in the given topological order.The first indicator, η2, applies to bosonic systems while the second indicator, ηf, applies to fermionic systems in the DIII class. We conjecture that η2, together with apreviously known indicator η1, can detect the two known Z2 anomalies in the bosonic case, while ηf can detect the Z16 anomaly in the fermionic case.

Citation Format(s)

Anomaly Indicators for Time-Reversal Symmetric Topological Orders. / Wang, Chenjie; Levin, Michael.
In: Physical Review Letters, Vol. 119, No. 13, 136801, 29.09.2017.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review