Topological quantum numbers in the Hall effect
Mathematical Physics
2007-05-23 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0303055,
title = {Topological quantum numbers in the Hall effect},
author = {J. E. Avron and D. Osadchy and R. Seiler},
journal= {arXiv preprint arXiv:math-ph/0303055},
year = {2007}
}