Butterflies and topological quantum numbers
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
The Hofstadter model illustrates the notion of topological quantum numbers and how they account for the quantization of the Hall conductance. It gives rise to colorful fractal diagrams of butterflies where the colors represent the topological quantum numbers.
Keywords
Cite
@article{arxiv.math-ph/0110026,
title = {Butterflies and topological quantum numbers},
author = {J. E. Avron and D. Osadchy},
journal= {arXiv preprint arXiv:math-ph/0110026},
year = {2007}
}
Comments
9 pages, 5 figures