J. Vidal, R. Mosseri, B. Doucot
Published 1998-06-05Version 1
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 a large class of tilings (periodic, quasiperiodic, or random). We are led to introduce the Aharonov-Bohm cages defined as the set of sites eventually visited by a wavepacket that can, for particular values of the magnetic flux, be bounded. We finally discuss the quantum dynamics which exhibits an original pulsating behaviour.
Comments: 4 pages Latex, 3 eps figures, 1 ps figure
Journal: Phys. Rev. Lett. 81, 5888 (1998)
Aharonov-Bohm cages, flat bands, and gap labelling in hyperbolic tilings
Quantum interference from sums over closed paths for electrons on a three-dimensional lattice in a magnetic field: total energy, magnetic moment, and orbital susceptibility
"One-dimensional" Coherent States and Oscillation Effects in Metals in a Magnetic Field
