Abstract
We present an extreme localization mechanism induced by a magnetic field for tight-binding electrons in two-dimensional structures. This original phenomenon is investigated for a large class of tilings (periodic, quasiperiodic, or random). We are led to introduce Aharonov-Bohm cages that are defined as the set of sites eventually visited by a wave packet that can, for particular values of the magnetic flux, be bounded. We finally discuss the quantum dynamics which exhibit an uncommon pulsating behavior.
- Received 18 May 1998
DOI:https://doi.org/10.1103/PhysRevLett.81.5888
©1998 American Physical Society