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Semiclassical theory of magnetotransport through a chaotic quantum well

E. E. Narimanov·A. Douglas Stone·G. S. Boebinger
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Abstract

We develop a quantitative semiclassical formula for the resonant tunneling current through a quantum well in a tilted magnetic field. It is shown that the current depends only on periodic orbits within the quantum well. The theory explains the puzzling evolution of the tunneling spectra near a tilt angle of $30^{\circ}$ as arising from an exchange bifurcation of the relevant periodic orbits.

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E. E. Narimanov, A. Douglas Stone, G. S. Boebinger. 1997-07-08. Semiclassical theory of magnetotransport through a chaotic quantum well. https://doi.org/10.1103/physrevlett.80.4024

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