Shot noise in semiclassical chaotic cavities

Details Shot noise in semiclassical chaotic cavities Shot noise in semiclassical chaotic cavities

2005-12-20

arxiv.org/abs/cond-mat/0512516v3

Phys. Rev. Lett. 96, 206804 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Final version, to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.96.206804

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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