1995/08/16 by Piet W. Brouwer, P. W. Brouwer, Klaus M. Frahm +1 · 4 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physrevb.53.1490
published as Phys.Rev.B 53 (1996) 1490 · 21 pages, REVTeX-3.0, 5 postscript figures appended as self-extracting archive. A complete postscript file with figures and text (13 pages) is available from http://rulgm4.LeidenUniv.nl/preprints.html
arxiv created 1995/08/16 · openalex publication_date 1996/01/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The two known nonperturbative theories of localization in disordered wires, the Fokker-Planck approach due to Dorokhov, Mello, Pereyra, and Kumar, and the field-theoretic approach due to Efetov and Larkin, are shown to be equivalent for all symmetry classes. The equivalence had been questioned as a result of field-theoretic calculations of the average conductance by Zirnbauer [Phys. Rev. Lett. 69, 1584 (1992)], which disagreed with the Fokker-Planck approach in the symplectic symmetry class. We resolve this controversy by pointing to an incorrect implementation of Kramers degeneracy in these calculations, and we derive modified expressions for the first two conductance moments that agree well with existing numerical simulations from the metallic into the localized regime. \textcopyright 1996 the American Physical Society.