Physics – Condensed Matter
Scientific paper
1995-08-16
Phys.Rev.B 53 (1996) 1490
Physics
Condensed Matter
21 pages, REVTeX-3.0, 5 postscript figures appended as self-extracting archive. A complete postscript file with figures and te
Scientific paper
10.1103/PhysRevB.53.1490
The two known non-perturbative 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 [PRL 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 which agree well with existing numerical simulations from the metallic into the localized regime. ***Submitted to Physical Review B.***
Brouwer Piet. W.
Frahm Klaus
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