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Statistical topological insulators
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DOI：10.1103/PhysRevB.89.155424.png)
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Abstract
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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.
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SUPERCONDUCTORS
LOCALIZATION
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