472 citations · 4.6k across the 45 of their papers we have counts for
6 papers · 1 filter
Hofstadter butterfly of a quasicrystal
J. -N Fuchs, J. Vidal
The energy spectrum of a tight-binding Hamiltonian is studied for the two-dimensional quasiperiodic Rauzy tiling in a perpendicular magnetic field. This spectrum known as a Hofstad…
Pairing of Cooper Pairs in a Fully Frustrated Josephson Junction Chain
B. Doucot, J. Vidal
We study a one-dimensional Josephson junction chain embedded in a magnetic field. We show that when the magnetic flux per elementary loop equals half the superconducting flux quant…
Aharonov-Bohm cages in the GaAlAs/GaAs system
C. Naud, G. Faini, D. Mailly +5
Aharonov-Bohm oscillations have been observed in a lattice formed by a two dimensional rhombus tiling. This observation is in good agreement with a recent theoretical calculation o…
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…