Hofstadter butterfly as Quantum phase diagram

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.

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

Cited by in corpus (48)

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