• Editors' Suggestion

Statistical topological insulators

I. C. Fulga, B. van Heck, J. M. Edge, and A. R. Akhmerov
Phys. Rev. B 89, 155424 – Published 21 April 2014
PDFHTMLExport Citation

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 Z2 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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 26 December 2012
  • Revised 3 April 2014

DOI:https://doi.org/10.1103/PhysRevB.89.155424

©2014 American Physical Society

Authors & Affiliations

I. C. Fulga1, B. van Heck1, J. M. Edge1, and A. R. Akhmerov1,2

  • 1Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands
  • 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 89, Iss. 15 — 15 April 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×