Aharonov-Bohm cages in two-dimensional structures
Mesoscale and Nanoscale Physics
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/9806068,
title = {Aharonov-Bohm cages in two-dimensional structures},
author = {J. Vidal and R. Mosseri and B. Doucot},
journal= {arXiv preprint arXiv:cond-mat/9806068},
year = {2007}
}
Comments
4 pages Latex, 3 eps figures, 1 ps figure