The non-commutative n-th Chern number
Mathematical Physics
2013-11-14 v3 Strongly Correlated Electrons
K-Theory and Homology
math.MP
Operator Algebras
Abstract
The theory of the higher Chern numbers in the presence of strong disorder is developed. Sharp quantization and homotopy invariance conditions are provided. The relevance of the result to the field of strongly disordered topological insulators is discussed.
Cite
@article{arxiv.1305.2425,
title = {The non-commutative n-th Chern number},
author = {Emil Prodan and Bryan Leung and Jean Bellissard},
journal= {arXiv preprint arXiv:1305.2425},
year = {2013}
}