Topological quantum numbers in the Hall effect

J. E. Avron; D. Osadchy; R. Seiler

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Topological quantum numbers in the Hall effect

J. E. Avron·D. Osadchy·R. Seiler

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Abstract

Topological quantum numbers account for the precise quantization that occurs in the integer Hall effect. In this theory, Kubo's formula for the conductance acquires a topological interpretation in terms of Chern numbers and their non-commutative analog, the Fredholm Indices.

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J. E. Avron, D. Osadchy, R. Seiler. 2003-03-24. Topological quantum numbers in the Hall effect. https://arxiv.org/abs/math-ph/0303055

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