Anderson localization from the replica formalism.
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.
Altland
Alexander
A
Institut für Theoretische Physik, Universtät zu Köln, Köln, 50937, Germany.
Kamenev
Alex
A
Tian
Chushun
C