Statistical Topological Insulators
Mesoscale and Nanoscale Physics
2014-04-23 v4
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 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.
Cite
@article{arxiv.1212.6191,
title = {Statistical Topological Insulators},
author = {I. C. Fulga and B. van Heck and J. M. Edge and A. R. Akhmerov},
journal= {arXiv preprint arXiv:1212.6191},
year = {2014}
}
Comments
6 pages, 1 table, 5 figures, this is the final, published version