1994/03/09 by C. W. J. Beenakker, J. A. Melsen · 1 citation
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat
paper · pdf · doi:10.1103/physrevb.50.2450
published as Phys.Rev.B 50 (1994) 2450 · 15 pages, REVTeX-3.0, 9 postscript figures appended as self-extracting archive, INLO-PUB-940309b
arxiv created 1994/03/09 · openalex publication_date 1994/07/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
This is a study of phase-coherent conduction through a ballistic point contact with disordered leads. The disorder imposes mesoscopic (sample-to-sample) fluctuations and weak-localization corrections on the conductance, and also leads to time-dependent fluctuations (shot noise) of the current. These effects are computed by means of a mapping onto an unconstricted conductor with a renormalized mean free path. The mapping holds in both in the metallic and the localized regimes, and permits a solution for an arbitrary ratio of mean free path to sample length. In the case of a single-channel quantum point contact, the mapping is onto a one-dimensional disordered chain, for which the complete distribution of the conductance is known. The theory is supported by numerical simulations.