- 01-70 D. Osadchy, J. E. Avron
- Hofstadter butterfly as Quantum phase diagram
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Feb 20, 01
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Abstract. 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.
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