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Aharonov-Bohm cages in two-dimensional structures

J. Vidal·R. Mosseri·B. Doucot
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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.

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J. Vidal, R. Mosseri, B. Doucot. 1998-06-05. Aharonov-Bohm cages in two-dimensional structures. https://doi.org/10.1103/physrevlett.81.5888

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