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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

Random-Matrix Theory of Quantum Transport

classification cond-mat.mes-hall
keywords theoryconductancequantumrandom-matrixappliedapproachblockadecomprehensive
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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

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

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  3. Quantum chaotic systems: a random-matrix approach

    quant-ph 2026-04 unverdicted

    Review of random matrix theory application to quantum chaos, covering symmetry classes, eigenvalue statistics, unfolding, and correlation functions.