Transport moments beyond the leading order

DOI10.1088/1367-2630/13/6/063020zbMath1275.82007arXiv1012.3526OpenAlexW1982903257MaRDI QIDQ2860715

Gregory Berkolaiko, Jack Kuipers

Publication date: 20 November 2013

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3526

Mathematics Subject Classification ID

Related Items (13)

Tau-function theory of chaotic quantum transport with \(\beta = 1, 2, 4\) ⋮ Energy-dependent correlations in the S-matrix of chaotic systems ⋮ Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach ⋮ Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions ⋮ Semiclassical matrix model for quantum chaotic transport with time-reversal symmetry ⋮ Integer moments of complex Wishart matrices and Hurwitz numbers ⋮ Efficient semiclassical approach for time delays ⋮ Moments of random matrices and hypergeometric orthogonal polynomials ⋮ Large-N expansion for the time-delay matrix of ballistic chaotic cavities ⋮ Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I ⋮ Moments of the transmission eigenvalues, proper delay times and random matrix theory II ⋮ Statistics of time delay and scattering correlation functions in chaotic systems. II. Semiclassical approximation ⋮ Semiclassical roots of universality in many-body quantum chaos

Cites Work

• Matrix integrals and map enumeration: an accessible introduction
• Inequivalent Transitive Factorizations into Transpositions
• Lifetime Matrix in Collision Theory
• Semiclassical prediction for shot noise in chaotic cavities
• Statistics of thermal to shot noise crossover in chaotic cavities
• Moments of the Wigner delay times
• Full counting statistics of chaotic cavities from classical action correlations
• Semiclassics for chaotic systems with tunnel barriers
• Supersymmetry in Disorder and Chaos
• Distribution of the quantum mechanical time-delay matrix for a chaotic cavity
• Random-matrix description of chaotic scattering: Semiclassical approach
• Asymptotics of Selberg-like integrals: The unitary case and Newton's interpolation formula
• Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
• Transmission eigenvalue densities and moments in chaotic cavities from random matrix theory
• Lower Limit for the Energy Derivative of the Scattering Phase Shift

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