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.

Statistical topological insulators / Fulga, I. C.; van Heck, B.; Edge, J. M.; Akhmerov, and A. R.. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 89:15(2014). [10.1103/PhysRevB.89.155424]

Statistical topological insulators

B. van Heck
Secondo
;
2014

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 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.
2014
Disorder; topology; insulators
01 Pubblicazione su rivista::01a Articolo in rivista
Statistical topological insulators / Fulga, I. C.; van Heck, B.; Edge, J. M.; Akhmerov, and A. R.. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 89:15(2014). [10.1103/PhysRevB.89.155424]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1655980
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