Topological quantum numbers in the Hall effect

Details Topological quantum numbers in the Hall effect Topological quantum numbers in the Hall effect

2003-03-24

arxiv.org/abs/math-ph/0303055v1

Physics

Mathematical Physics

Scientific paper

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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