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arxiv: 1305.2425 · v3 · pith:TYSVAVCPnew · submitted 2013-05-10 · 🧮 math-ph · cond-mat.str-el· math.KT· math.MP· math.OA

The non-commutative n-th Chern number

classification 🧮 math-ph cond-mat.str-elmath.KTmath.MPmath.OA
keywords chernconditionsdevelopeddiscusseddisorderdisorderedfieldhigher
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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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