Hofstadter butterfly as Quantum phase diagram

Details Hofstadter butterfly as Quantum phase diagram Hofstadter butterfly as Quantum phase diagram

2001-01-16

arxiv.org/abs/math-ph/0101019v2

Physics

Mathematical Physics

4 prl pages 1 colored figure typos corrected, reference [26] added, "Ten Martini" assumption added

Scientific paper

10.1063/1.1412464

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.

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