Shot noise in semiclassical chaotic cavities

We construct a trajectory-based semiclassical theory of shot noise in clean chaotic cavities. In the universal regime of vanishing Ehrenfest time $\text{tE}$, we reproduce the random matrix theory result, and show that the Fano factor is exponentially suppressed as $\text{tE}$ increases. We demonstrate how our theory preserves the unitarity of the scattering matrix even in the regime of finite $\text{tE}$. 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].