Topological quantum numbers in the Hall effect
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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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.math-ph/0303055 |