Anderson localization from the replica formalism

Alexander Altland, Alex Kamenev, Chushun Tian

Research output: Contribution to journalArticlepeer-review

90 Scopus citations

Abstract

We study Anderson localization in quasi-one-dimensional disordered wires within the framework of the replica σ 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.

Original languageEnglish (US)
Article number206601
JournalPhysical review letters
Volume95
Issue number20
DOIs
StatePublished - Nov 11 2005

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