Electronic transport in three-terminal chaotic systems with a tunnel barrier

Abstract

We consider the problem of electronic quantum transport through ballistic mesoscopic systems with chaotic dynamics, connected to a multiterminal architecture in which one of the terminals has a tunnel barrier. Using a semiclassical approximation based on matrix integrals, we calculate several transport statistics, such as average and variance of conductance, average shotnoise power, among others, that give access to the extreme quantum regime (small channel numbers in the terminal) for broken and intact time-reversal symmetry, which the traditional random matrix approach does not access. As an application, we treat the dephasing regime.