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Statistical Topological Insulators

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arxiv 1212.6191 v4 pith:QMV4SKSF submitted 2012-12-26 cond-mat.mes-hall

I. C. Fulga , B. van Heck , J. M. Edge , A. R. Akhmerov This is my paper
classification cond-mat.mes-hall
keywords insulatorstopologicalstatisticalensembleprotectedcertainclassclasses
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abstract

We define a class of insulators with gapless surface states protected from localization due to the statistical properties of a disordered ensemble, namely due to the ensemble's invariance under a certain symmetry. We show that these insulators are topological, and are protected by a $\mathbb{Z}_2$ invariant. Finally, we prove that every topological insulator gives rise to an infinite number of classes of statistical topological insulators in higher dimensions. Our conclusions are confirmed by numerical simulations.

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