Partition Functions and Stability Criteria of Topological Insulators

Andrea Cappelli; Enrico Randellini

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Partition Functions and Stability Criteria of Topological Insulators

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arxiv 1309.2155 v1 pith:5EYVGNSN submitted 2013-09-09 cond-mat.str-el hep-th

Partition Functions and Stability Criteria of Topological Insulators

Andrea Cappelli , Enrico Randellini This is my paper

classification cond-mat.str-el hep-th

keywords topologicalinsulatorspartitionedgeexcitationsfunctionstabilitysystems

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The non-chiral edge excitations of quantum spin Hall systems and topological insulators are described by means of their partition function. The stability of topological phases protected by time-reversal symmetry is rediscussed in this context and put in relation with the existence of discrete anomalies and the lack of modular invariance of the partition function. The $\Z_2$ characterization of stable topological insulators is extended to systems with interacting and non-Abelian edge excitations.

Partition Functions and Stability Criteria of Topological Insulators

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