472 citations · 2.2k across the 40 of their papers we have counts for
4 papers · 1 filter
Aharonov-Bohm cages, flat bands, and gap labeling in hyperbolic tilings
R. Mosseri, R. Vogeler, J. Vidal
Aharonov-Bohm caging is a localization mechanism stemming from the competition between the geometry and the magnetic field. Originally described for a tight-binding model in the di…
How to escape Aharonov-Bohm cages ?
J. Vidal, P. Butaud, B. Doucot +1
We study the effect of disorder and interactions on a recently proposed magnetic field induced localization mechanism. We show that both partially destroy the extreme confinement o…
Spectrum and diffusion for a class of tight-binding models on hypercubes
J. Vidal, R. Mosseri, J. Bellissard
We propose a class of exactly solvable anisotropic tight-binding models on an infinite-dimensional hypercube. The energy spectrum is analytically computed and is shown to be fracta…
Aharonov-Bohm cages in two-dimensional structures
J. Vidal, R. Mosseri, B. Doucot
We present an extreme localization mechanism induced by a magnetic field for tight-binding electrons in two-dimensional structures. This spectacular phenomenon is investigated for…