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math-ph2003
Colored Hofstadter butterflies
J. E. Avron
I explain the two colored butterflies shown in figures 1 and 4, their thermodynamic significance and their duality.
math-ph2003★ 1 cited
Topological quantum numbers in the Hall effect
J. E. Avron, D. Osadchy, R. Seiler
Topological quantum numbers account for the precise quantization that occurs in the integer Hall effect. In this theory, Kubo's formula for the conductance acquires a topological i…