TY - JOUR
T1 - Localization in self-affine energy landscapes
AU - Russ, Stefanie
AU - Kantelhardt, Jan W.
AU - Bunde, Armin
AU - Havlin, Shlomo
PY - 2001
Y1 - 2001
N2 - We discuss the localization behavior of quantum particles in a one-dimensional Anderson model with self-affine random potentials, characterized by a Hurst exponent (formula presented) Depending on H and energy E, a new type of “strong” localization can occur, where all states are localized in a way different from the regular Anderson localized states. Using scaling arguments, we derive an analytical expression for the phase diagram and test it by numerical calculations. Finally, we consider a somewhat related model where the variance of the potential fluctuations is kept fixed for all system sizes L and a transition between localized and apparently extended states has been reported.
AB - We discuss the localization behavior of quantum particles in a one-dimensional Anderson model with self-affine random potentials, characterized by a Hurst exponent (formula presented) Depending on H and energy E, a new type of “strong” localization can occur, where all states are localized in a way different from the regular Anderson localized states. Using scaling arguments, we derive an analytical expression for the phase diagram and test it by numerical calculations. Finally, we consider a somewhat related model where the variance of the potential fluctuations is kept fixed for all system sizes L and a transition between localized and apparently extended states has been reported.
UR - http://www.scopus.com/inward/record.url?scp=0035494260&partnerID=8YFLogxK
U2 - 10.1103/physrevb.64.134209
DO - 10.1103/physrevb.64.134209
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AN - SCOPUS:0035494260
SN - 1098-0121
VL - 64
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 13
ER -