Journal article

Publication year: 2001

Journal: Physical Review B

Volume number: 64

Issue number: 13

ISSN: 2469-9950

eISSN: 2469-9969

DOI Link: https://doi.org/10.1103/PhysRevB.64.134209

Publisher: American Physical Society

Abstract: 
We discuss the localization behavior of quantum particles in a one-dimensional Anderson model with self-af fine random potentials, characterized by a Hurst exponent H>0. 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.

Harvard Citation style: Russ, S., Kantelhardt, J., Bunde, A. and Havlin, S. (2001) Localization in self-affine energy landscapes, Physical Review B (condensed matter and materials physics), 64(13), Article 134209. https://doi.org/10.1103/PhysRevB.64.134209

APA Citation style: Russ, S., Kantelhardt, J., Bunde, A., & Havlin, S. (2001). Localization in self-affine energy landscapes. Physical Review B (condensed matter and materials physics). 64(13), Article 134209. https://doi.org/10.1103/PhysRevB.64.134209