Persistent currents due to point obstacles
Taksu Cheon, Pavel Exner
Abstract
We discuss properties of the two-dimensional Landau Hamiltonian perturbed by a family of identical δ 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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