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arxiv: cond-mat/0512516 · v3 · submitted 2005-12-20 · ❄️ cond-mat.mes-hall · nlin.CD

Shot noise in semiclassical chaotic cavities

classification ❄️ cond-mat.mes-hall nlin.CD
keywords semiclassicalnoiseregimeshottheorycavitieschaoticmatrix
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We construct a trajectory-based semiclassical theory of shot noise in clean chaotic cavities. In the universal regime of vanishing Ehrenfest time $\tE$, we reproduce the random matrix theory result, and show that the Fano factor is exponentially suppressed as $\tE$ increases. We demonstrate how our theory preserves the unitarity of the scattering matrix even in the regime of finite $\tE$. We discuss the range of validity of our semiclassical approach and point out subtleties relevant to the recent semiclassical treatment of shot noise in the universal regime by Braun et al. [cond-mat/0511292].

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