Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 42, Issue 12, Pages 5665-5671Publisher
AIP Publishing
DOI: 10.1063/1.1412464
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The Hofstadter butterfly is viewed as a quantum phase diagram with infinitely many phases, labeled 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. (C) 2001 American Institute of Physics.
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