Counting statistics and an anomalous metallic phase in a network of quantum dots

摘要: We report results relating to the transport properties of a quantum network formed by connecting chaotic dots each other and electron reservoirs via barriers arbitrary transparencies. employ two representations generating function for charge counting statistics: stochastic one, based on random scattering matrix model numerical simulations, field theoretic Keldysh nonlinear σ-model analytical calculations. compute in semiclassical regime first four transfer cumulants: conductance, shot-noise power, skewness kurtosis. show that variations transparencies can induce qualitative changes networks, through topology controlled noise power modulation. also double-scaling limit, achieved combination an infinite number full suppression Fabry–Perot modes, leads anomalous metallic phase limit thick wire. Finally, powerful procedure is proposed computing weak localization effects observables networks all ranges parameters, both pure symmetry classes crossover induced applied magnetic spin–orbit scattering.