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Noiseless scattering states in a chaotic cavity | | P.G.Silvestrov
; M.C.Goorden
; C.W.J.Beenakker
; | | Date: |
11 Feb 2003 | | Journal: | Phys. Rev. B 67, 241301(R) (2003) DOI: 10.1103/PhysRevB.67.241301 | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Chaotic Dynamics | cond-mat.mes-hall nlin.CD | | Abstract: | Shot noise in a chaotic cavity (Lyapunov exponent $lambda$, level spacing $delta$, 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 $ar{I}$, but not to the shot-noise power $S$. We find that these noiseless transmission channels do not exist for $Naltsqrt{k_{F}L}$, where we expect the random-matrix result $S/2ear{I}=1/4$. For $Nagtsqrt{k_{F}L}$ we predict a suppression of the noise $propto (k_{F}L/N^{2})^{Ndelta/pihbarlambda}$. This nonlinear contact dependence of the noise could help to distinguish ballistic chaotic scattering from random impurity scattering in quantum transport. | | Source: | arXiv, cond-mat/0302204 | | Services: | Forum | Review | PDF | Favorites | |
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