898 citations · 3.3k across the 56 of their papers we have counts for
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Colored Hofstadter butterflies
J. E. Avron
I explain the two colored butterflies shown in figures 1 and 4, their thermodynamic significance and their duality.
Optimal rotations of deformable bodies and orbits in magnetic fields
J. E. Avron, O. Gat, O. Kenneth +1
Deformations can induce rotation with zero angular momentum where dissipation is a natural ``cost function''. This gives rise to an optimization problem of finding the most effecti…
Semiclassical analysis and the magnetization of the Hofstadter model
O. Gat, J. E. Avron
The magnetization and the de Haas-van Alphen oscillations of Bloch electrons are calculated near commensurate magnetic fluxes. Two phases that appear in the quantization of mixed s…
Transport and Dissipation in Quantum Pumps
J. E. Avron, A. Elgart, G. M. Graf +1
This paper is about adiabatic transport in quantum pumps. The notion of ``energy shift'', a self-adjoint operator dual to the Wigner time delay, plays a role in our approach: It de…
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…