Semiclassical theory of magnetotransport through a chaotic quantum well

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 as arising from an exchange bifurcation of the relevant periodic orbits.

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