Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Nonuniversality of Anderson Localization in Short-Range Correlated Disorder.
AU - Titov, M.
AU - Schomerus, Henning
PY - 2005/9
Y1 - 2005/9
N2 - We provide an analytic theory of Anderson localization on a lattice with a weak short-range correlated disordered potential. Contrary to the general belief, we demonstrate that already next-neighbor statistical correlations in the potential can give rise to strong anomalies in the localization length and the density of states, and to the complete violation of single-parameter scaling. Such anomalies originate in additional symmetries of the lattice model in the limit of weak disorder. The results of numerical simulations are in full agreement with our theory, with no adjustable parameters.
AB - We provide an analytic theory of Anderson localization on a lattice with a weak short-range correlated disordered potential. Contrary to the general belief, we demonstrate that already next-neighbor statistical correlations in the potential can give rise to strong anomalies in the localization length and the density of states, and to the complete violation of single-parameter scaling. Such anomalies originate in additional symmetries of the lattice model in the limit of weak disorder. The results of numerical simulations are in full agreement with our theory, with no adjustable parameters.
U2 - 10.1103/PhysRevLett.95.126602
DO - 10.1103/PhysRevLett.95.126602
M3 - Journal article
VL - 95
SP - 126602
JO - Physical review letters
JF - Physical review letters
SN - 1079-7114
IS - 12
ER -