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Semiclassical Scattering in a Circular Semiconductor Microstructure
Schwieters, C. D. Alford, J. A. Delos, John B.
Schwieters, C. D.
Alford, J. A.
Delos, John B.
Abstract
The conductance of a microscopic junction shows fluctuations caused by quantum interference of waves that follow different paths between the leads. We give a semiclassical formula for these fluctuations. The theory utilizes trajectories which travel between the centers of the lead apertures; it also incorporates diffraction at these apertures. We extend the theory to include ‘‘ghost paths,’’ which scatter diffractively off the lead mouths. Semiclassical S-matrix elements are computed for a circular junction over a range of Fermi wave numbers, and the large-scale structure of these matrix elements shows good agreement with quantum results. Finally, we propose a hypothesis about the effect of the quantum coherence length on the S matrix and on the semiclassical sum. © 1996 The American Physical Society.
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1996-10-01
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American Physical Society
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Physics
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https://doi.org/10.1103/PhysRevB.54.10652