Aharonov-Bohm cages in two-dimensional structures

Details Aharonov-Bohm cages in two-dimensional structures Aharonov-Bohm cages in two-dimensional structures

1998-06-05

arxiv.org/abs/cond-mat/9806068v1

Phys. Rev. Lett. 81, 5888 (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages Latex, 3 eps figures, 1 ps figure

Scientific paper

10.1103/PhysRevLett.81.5888

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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