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The non-commutative n-th Chern number

2013/05/31 by Emil Prodan, Bryan Leung, Jean Bellissard · 1 citation
Physics and Astronomy · Mathematics · #math-ph #cond-mat.str-el #math.KT #math.MP #math.OA

paper · pdf · doi:10.1088/1751-8113/46/48/485202

published as J. Phys. A: Math. Theor. 46, 485202 (2013)

arxiv created 2013/10/14 · arxiv updated 2013/11/14

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.

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