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Statistics of quantum transport in weakly nonideal chaotic cavities
Sergio Rodríguez-Pérez1, Ricardo Marino2, Marcel Novaes1
1Departamento de Física, Universidade Federal de São Carlos, São Carlos, SP, 13565-905, Brazil.
Abstract:
We consider statistics of electronic transport in chaotic cavities where time-reversal symmetry is broken and one of the leads is weakly nonideal; that is, it contains tunnel barriers characterized by tunneling probabilities Γ(i). Using symmetric function expansions and a generalized Selberg integral, we develop a systematic perturbation theory in 1-Γ(i) valid for an 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.
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