Statistics of quantum transport in weakly non-ideal chaotic cavities

Sergio Rodriguez-Perez 1, Ricardo Marino 2, Marcel Novaes 1, Pierpaolo Vivo 2

Physical Review E 88 (2013) 052912

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 $\Gamma_i$. Using symmetric function expansions and a generalized Selberg integral, we develop a systematic perturbation theory in $1-\Gamma_i$ 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.

  • 1 : Departamento de fisica
    Universidade Federal de Sao Carlos - UFSCar (BRAZIL)
  • 2 : Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS)
    CNRS : UMR8626 – Université Paris XI - Paris Sud