TY - JOUR
T1 - Anomalous localization in a nonuniformly disordered medium
AU - Altshuler, E.
AU - Shimshoni, E.
PY - 1992
Y1 - 1992
N2 - Disordered systems with a spatial dependent mean free path (due to, e.g., an external field) are studied. Such nonuniformity in the medium leads to anomalous localization behavior. The distribution function for the resistance of a 1D sample with length L, with power-law dependence of the mean free path l on the coordinate x, lx±, is presented. Transition from localized behavior (lnL) to delocalized (ln is not a normally distributed quantity) takes place through the power localization (lnlnL). Extensions of the model to higher dimensions, as well as to the case where dissipation is present, are discussed.
AB - Disordered systems with a spatial dependent mean free path (due to, e.g., an external field) are studied. Such nonuniformity in the medium leads to anomalous localization behavior. The distribution function for the resistance of a 1D sample with length L, with power-law dependence of the mean free path l on the coordinate x, lx±, is presented. Transition from localized behavior (lnL) to delocalized (ln is not a normally distributed quantity) takes place through the power localization (lnlnL). Extensions of the model to higher dimensions, as well as to the case where dissipation is present, are discussed.
UR - https://www.scopus.com/pages/publications/35949005509
U2 - 10.1103/physrevb.45.2712
DO - 10.1103/physrevb.45.2712
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AN - SCOPUS:35949005509
SN - 0163-1829
VL - 45
SP - 2712
EP - 2716
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
IS - 6
ER -