Noiseless scattering states in a chaotic cavity

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dc.creatorSilvestrov, P. G.
dc.creatorGoorden, M. C.
dc.creatorBeenakker, C. W. J.
dc.date2003-02-11
dc.date2003-07-02
dc.date.accessioned2026-07-07T02:49:37Z
dc.date.available2026-07-07T02:49:37Z
dc.descriptionShot noise in a chaotic cavity (Lyapunov exponent $λ$, level spacing $δ$, 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 {\em fully} transmitted or reflected scattering states, which we construct explicitly. The fully transmitted states contribute to the mean current $\bar{I}$, but not to the shot-noise power $S$. We find that these noiseless transmission channels do not exist for $N\alt\sqrt{k_{F}L}$, where we expect the random-matrix result $S/2e\bar{I}=1/4$. For $N\agt\sqrt{k_{F}L}$ we predict a suppression of the noise $\propto (k_{F}L/N^{2})^{Nδ/π\hbarλ}$. This nonlinear contact dependence of the noise could help to distinguish ballistic chaotic scattering from random impurity scattering in quantum transport.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0302204
dc.identifierhttp://arxiv.org/abs/cond-mat/0302204
dc.identifierPhys. Rev. B 67, 241301(R) (2003)
dc.identifierdoi:10.1103/PhysRevB.67.241301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20871
dc.subjectMesoscale and Nanoscale Physics
dc.subjectChaotic Dynamics
dc.titleNoiseless scattering states in a chaotic cavity
dc.typetext

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