Persistent currents due to point obstacles

Details Persistent currents due to point obstacles Persistent currents due to point obstacles

2002-02-26

arxiv.org/abs/quant-ph/0202147v1

Physics Letters A307 (2003) 209-214

Physics

Quantum Physics

13 pages 14 figures

Scientific paper

10.1016/S0375-9601(02)01719-X

We discuss properties of the two-dimensional Landau Hamiltonian perturbed by a family of identical $\delta$ potentials arranged equidistantly along a closed loop. It is demonstrated that for the loop size exceeding the effective size of the point obstacles and the cyclotronic radius such a system exhibits persistent currents at the bottom of the spectrum. We also show that the effect is sensitive to a small disorder.

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