Hofstadter butterfly as Quantum phase diagram
D. Osadchy, J. Avron
TL;DR
This paper interprets the Hofstadter butterfly as a quantum phase diagram with infinitely many phases, analyzing its fractal structure, phase coexistence, and phase counting.
Contribution
It introduces a novel perspective by viewing the Hofstadter butterfly as a quantum phase diagram and characterizes its properties such as phase coexistence and component counting.
Findings
Established Gibbs phase rules for the diagram
Counted the number of phases and their components
Characterized multiple phase coexistence sets
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.
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