Statistics of quantum transport in weakly non-ideal chaotic cavities
arXiv:1308.2879 · doi:10.1103/PhysRevE.88.052912
Abstract
We consider statistics of electronic transport in chaotic cavities where time-reversal symmetry is broken and one of the leads is weakly non-ideal, i.e. it contains tunnel barriers characterized by tunneling probabilities . Using symmetric function expansions and a generalized Selberg integral, we develop a systematic perturbation theory in valid for arbitrary number of channels, and obtain explicit formulas up to second order for the average and variance of the conductance, and for the average shot-noise. Higher moments of the conductance are considered to leading order.
6 pag., 2 fig. - submitted to PRB
References in corpus (13)
- Universal Statistics of the Scattering Coefficient of Chaotic Microwave Cavities
- Distributions of Conductance and Shot Noise and Associated Phase Transitions
- Wigner time-delay distribution in chaotic cavities and freezing transition
- Systematic approach to statistics of conductance and shot-noise in chaotic cavities
- Nonlinear statistics of quantum transport in chaotic cavities
- Statistics of quantum transport in chaotic cavities with broken time-reversal symmetry
- Distribution of Scattering Matrix Elements in Quantum Chaotic Scattering
- Suppression of weak-localization (and enhancement of noise) by tunnelling in semiclassical chaotic transport
- Integrable theory of quantum transport in chaotic cavities
- Full counting statistics of chaotic cavities with many open channels
- Statistics of thermal to shot noise crossover in chaotic cavities
- Conductance Distributions in Chaotic Mesoscopic Cavities
- Universal K-matrix distribution in beta=2 Ensembles of Random Matrices