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A repulsive trap for two electrons in a magnetic field

A. L. Chepelianskii·D. L. Shepelyansky
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Abstract

We study numerically and analytically the dynamics of two classical electrons with Coulomb interaction in a two dimensional antidot superlattice potential in the presence of crossed electric and magnetic fields. It is found that near one antidot the electron pair can be trapped for a long time and the escape rate from such a trap is proportional to the square of a weak electric field. This is qualitatively different from the case of noninteracting electrons which are trapped forever by the antidot. For the pair propagation in the antidot superlattice we found a broad parameter regime for which the pair is stable and where two repulsive electrons propagate together on an enormously large distance.

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A. L. Chepelianskii, D. L. Shepelyansky. 2000-11-01. A repulsive trap for two electrons in a magnetic field. https://doi.org/10.1103/physrevb.63.165310

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