Document Type
Article
Department/Program
Physics
Journal Title
Physical Review B
Pub Date
10-1996
Publisher
American Physical Society
Volume
54
Issue
15
First Page
652
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.
Recommended Citation
Schwieters, C. D.; Alford, J. A.; and Delos, John B., Semiclassical Scattering in a Circular Semiconductor Microstructure (1996). Physical Review B, 54(15), 652-688.
https://doi.org/10.1103/PhysRevB.54.10652
DOI
https://doi.org/10.1103/PhysRevB.54.10652
