89 citations · 90 across the 3 of their papers we have counts for
3 papers
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…
math-ph2001
Butterflies and topological quantum numbers
J. E. Avron, D. Osadchy
The Hofstadter model illustrates the notion of topological quantum numbers and how they account for the quantization of the Hall conductance. It gives rise to colorful fractal diag…
math-ph2001★ 89 cited
Hofstadter butterfly as Quantum phase diagram
D. Osadchy, J. Avron
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 variou…