Universality of weak localization in disordered wires

1993/10/28 by C. W. J. Beenakker · 2 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevb.49.2205

published as Phys.Rev.B 49 (1994) 2205 · 7 pages, REVTeX-3.0, INLO-PUB-931028b

arxiv created 1993/10/28 · openalex publication_date 1994/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We compute the quantum correction \ensuremathδA due to weak localization for transport properties A= tsum_n a(T_n) of disordered quasi-one-dimensional conductors, by integrating the Dorokhov-Mello-Pererya-Kumar equation for the distribution of the transmission eigenvalues T_n. The result \ensuremathδA=(1-2/\ensuremathβ)[1/4a(1)+F₀^\mathrm\ensuremath∞dx(4x²+\mathrm\ensuremathπ²)^\mathrm\ensuremath-1a(cosh^\mathrm\ensuremath-2 x)] is independent of sample length or mean free path, and has a universal 1-2/\ensuremathβ dependence on the symmetry index \ensuremathβ\ensuremath∈1,2,4 of the ensemble of scattering matrices. This result generalizes the theory of weak localization for the conductance to all linear statistics on the transmission eigenvalues.

Cited by

• Exact solution for the distribution of transmission eigenvalues in a disordered wire and comparison with random-matrix theory
• Scaling theory of conduction through a normal-superconductor microbridge

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