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Statistical Topological Insulators

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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 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.

This talk is part of the Theory of Condensed Matter series.

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