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arxiv: math-ph/0303055 · v1 · submitted 2003-03-24 · 🧮 math-ph · math.MP

Topological quantum numbers in the Hall effect

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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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