2008/04/01 by Victor A. Gopar, V. A. Gopar
Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.dis-nn #cond-mat.mes-hall #stochastic dynamics and bifurcation
paper · pdf · doi:10.1140/epjb/e2008-00169-x
published as Eur. Phys. J. B, 62, 299 (2008) · 6 pages, 6 figures
openalex publication_date 2008/04/01 · arxiv created 2008/04/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02
The density of the transmission eigenvalues of Pb nano-contacts has been estimated recently in mechanically controllable break-junction experiments. Motivated by these experimental analyses, here we study the evolution of the density of the transmission eigenvalues with the disorder strength and the number of channels supported by the ballistic constriction of a quantum point contact in the framework of the Dorokhov-Mello-Pereyra-Kumar equation. We find that the transmission density evolves rapidly into the density in the diffusive metallic regime as the number of channels Nc of the constriction increase. Therefore, the transmission density distribution for a few Nc channels comes close to the known bimodal density distribution in the metallic limit. This is in agreement with the experimental statistical-studies in Pb nano-contacts. For the two analyzed cases, we show that the experimental densities are seen to be well described by the corresponding theoretical results.