Hofstadter butterfly as Quantum phase diagram
Mathematical Physics
2009-11-07 v2 Mesoscale and Nanoscale Physics
math.MP
Abstract
The Hofstadter butterfly is viewed as a quantum phase diagram with infinitely many phases, labelled by their (integer) Hall conductance, and a fractal structure. We describe various properties of this phase diagram: We establish Gibbs phase rules; count the number of components of each phase, and characterize the set of multiple phase coexistence.
Keywords
Cite
@article{arxiv.math-ph/0101019,
title = {Hofstadter butterfly as Quantum phase diagram},
author = {D. Osadchy and J. Avron},
journal= {arXiv preprint arXiv:math-ph/0101019},
year = {2009}
}
Comments
4 prl pages 1 colored figure typos corrected, reference [26] added, "Ten Martini" assumption added