Statistics of quantum transport in weakly non-ideal chaotic cavities

2013/08/13 by Sergio Rodriguez-Perez, Ricardo Marino, Marcel Novaes +1 · 1 citation
Mathematics · Physics and Astronomy · #cond-mat.mes-hall #cond-mat.stat-mech #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physreve.88.052912

published as Physical Review E 88 (2013) 052912 · 6 pag., 2 fig. - submitted to PRB

arxiv created 2013/08/13 · arxiv updated 2015/06/16

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 Γ_i. Using symmetric function expansions and a generalized Selberg integral, we develop a systematic perturbation theory in 1-Γ_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.

Cited by

• Random Matrix Theory for Chaotic Wave Scattering and Transport

Related

• Statistics of quantum transport in chaotic cavities with broken time-reversal symmetry
• Nonlinear statistics of quantum transport in chaotic cavities
• Joint statistics of quantum transport in chaotic cavities
• Statistics of reflection eigenvalues in chaotic cavities with non-ideal leads
• Statistics of thermal to shot noise crossover in chaotic cavities