2003/02/28 by P. G. Silvestrov, M. C. Goorden, Marlies C Goorden +1 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #cond-mat.mes-hall #nlin.CD
paper · pdf · doi:10.1103/physrevb.67.241301
published as Phys. Rev. B 67, 241301(R) (2003) · 4 pages, 4 figures
openalex publication_date 2003/06/09 · arxiv created 2003/07/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Shot noise in a chaotic cavity (Lyapunov exponent \ensuremathλ, level spacing \ensuremathδ, linear dimension L), coupled by two N-mode point contacts to electron reservoirs, is studied as a measure of the crossover from stochastic quantum transport to deterministic classical transport. The transition proceeds through the formation of fully transmitted or reflected scattering states, which we construct explicitly. The fully transmitted states contribute to the mean current \ifmmode I\else \=I\fi, but not to the shot-noise power S. We find that these noiseless transmission channels do not exist for N\ensuremath\lesssim√kFL, where we expect the random-matrix result S/2e\ifmmode I\else \=I\fi=1/4. For N\ensuremath\gtrsim√kFL we predict a suppression of the noise \ensuremath∝(kFL/N2)^N\ensuremathδ/\ensuremathπ\ensuremath\Elzxh\ensuremathλ. This nonlinear contact dependence of the noise could help to distinguish ballistic chaotic scattering from random impurity scattering in quantum transport.