Quantum Chaos in Quantum Wells

Details Quantum Chaos in Quantum Wells Quantum Chaos in Quantum Wells

1998-08-14

arxiv.org/abs/cond-mat/9808161v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

25 pages, 15 figures, accepted for publication in Physica D

Scientific paper

10.1016/S0167-2789(98)00229-2

We develop a quantitative semiclassical theory for the resosnant tunneling through a quantum well in a tilted magnetic field. It is shown, that in the leading semiclassical approximation the tunneling current depends only on periodic orbits within the quantum well. Further corrections (due to e.g. "ghost" effect) can be expressed in terms of closed, but non-periodic orbits, started at the "injection point". The results of the semiclassical theory are shown to be in good agreement with both the experimental data and numerical calculations.

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