Anderson Localization from the Replica Formalism

2005/05/12 by Alexander Altland, Alex Kamenev, Chushun Tian · 4 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.95.206601

4 pages, 1 figure

arxiv created 2005/05/12 · openalex publication_date 2005/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Anderson localization in quasi-one-dimensional disordered wires within the framework of the replica sigma model. Applying a semiclassical approach (geodesic action plus Gaussian fluctuations) recently introduced within the context of supersymmetry by Lamacraft, Simons, and Zirnbauer, we compute the exact density of transmission matrix eigenvalues of superconducting wires (of symmetry class CI.) For the unitary class of metallic systems (class A) we are able to obtain the density function, save for its large transmission tail.

Citations

• Exact solution for the distribution of transmission eigenvalues in a disordered wire and comparison with random-matrix theory

Cited by

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