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Random-Matrix Theory of Quantum Transport

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arxiv cond-mat/9612179 v1 pith:QXAUV6AM submitted 1996-12-19 cond-mat.mes-hall

C.W.J. Beenakker This is my paper · ORCID
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keywords theoryconductancequantumrandom-matrixappliedapproachblockadecomprehensive
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This is a comprehensive review of the random-matrix approach to the theory of phase-coherent conduction in mesocopic systems. The theory is applied to a variety of physical phenomena in quantum dots and disordered wires, including universal conductance fluctuations, weak localization, Coulomb blockade, sub-Poissonian shot noise, reflectionless tunneling into a superconductor, and giant conductance oscillations in a Josephson junction.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Same-spin Andreev reflections in the quantum Hall regime: the role of loss

    cond-mat.mes-hall 2026-07 conditional novelty 7.0 of 10

    Same-spin Andreev reflections occur at quantum Hall–superconductor interfaces, and particle loss enables them in the spin-polarized ν=1 regime.

  2. Hard edge asymptotics of correlation functions between singular values and eigenvalues

    math.PR 2025-01 conditional novelty 7.0 of 10

    For a broad class of bi-unitarily invariant random matrix ensembles, the large-n limit of the joint density of one eigenradius and k singular values at the hard edge is expressed through the limiting kernel of the sin...

  3. Multi-dimensional chaos I: Classical and quantum mechanics

    hep-th 2025-10 conditional novelty 5.0 of 10

    Peak positions in two-dimensional erratic scattering functions carry statistical repulsion signatures—COE for asymmetric pinball S-matrices, β-ensemble-like for the random-charge model—that can diagnose multi-dimensio...

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