Semiclassical Theory of Chaotic Conductors
Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)Abstract
In the semiclassical limit, chaotic cavities display universal transport properties. We explain this universality through the interference between contributions of classical trajectories connecting the openings. For example, the Landauer conductance of a chaotic cavity can be represented as a double sum over pairs of trajectories. That double sum turns out to be dominated by pairs of trajectories which differ from each other only by their connections inside close encounters in phase space. We show that summation over all such pairs indeed leads to a universal result. Our methods have interesting analogies to the nonlinear sigma model of quantum field theory, and can also be used to study, e.g., the variance of conductance or the power of shot noise.