TY - JOUR
T1 - Anderson localization from the replica formalism
AU - Altland, Alexander
AU - Kamenev, Alex
AU - Tian, Chushun
PY - 2005/11/11
Y1 - 2005/11/11
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.95.206601
DO - 10.1103/PhysRevLett.95.206601
M3 - Article
AN - SCOPUS:28844490006
SN - 0031-9007
VL - 95
JO - Physical review letters
JF - Physical review letters
IS - 20
M1 - 206601
ER -