Fluctuations of Transmission Distribution in Disordered Conductors

Abstract

We developed a microscopic approach to calculate the sample-to-sample fluctuations of transmission distribution in disordered conductors. This bridges between Green's function and random matrix theories of quantum transport. The results obtained show that the correlations of transmission eigenvalues obey universal Dyson statistics at small separations between eigenvalues being non-universal otherwise. The results facilitate an easy computation of different physical quantities and impose important constrains on a future imaginable theory of quantum transport.

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References in corpus (4)

• Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
• Universal Quantum Signatures of Chaos in Ballistic Transport
• Exact Solution for the Distribution of Transmission Eigenvalues in a Disordered Wire and Comparison with Random-Matrix Theory
• Equivalence of Fokker-Planck approach and non-linear $\sigma$-model for disordered wires in the unitary symmetry class

Cited by in corpus (5)

• Random-Matrix Theory of Quantum Transport
• Coulomb Blockade without Tunnel Junctions
• Generalized Fokker-Planck Equation For Multichannel Disordered Quantum Conductors
• Fluctuations and correlations of transmission eigenchannels in diffusive media
• $G_Q$-corrections in Circuit Theory of Quantum Transport