Anomalous wavefunction statistics on a one-dimensional lattice with power-law disorder .

Titov, M. and Schomerus, H. (2003) Anomalous wavefunction statistics on a one-dimensional lattice with power-law disorder . Physical review letters, 91. p. 176601.

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Abstract

Within a general framework, we discuss the wave function statistics in the Lloyd model of Anderson localization on a one-dimensional lattice with a Cauchy distribution for random on-site potential. We demonstrate that already in leading order in the disorder strength, there exists a hierarchy of anomalies in the probability distributions of the wave function, the conductance, and the local density of states, for every energy which corresponds to a rational ratio of wavelength to lattice constant. Power-law rather than log-normal tails dominate the short-distance wave-function statistics.

Item Type: Journal Article
Journal or Publication Title: Physical review letters
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 674
Deposited By: Dr Henning Schomerus
Deposited On: 31 Oct 2007
Refereed?: Yes
Published?: Published
Last Modified: 26 Aug 2019 00:47
URI: https://eprints.lancs.ac.uk/id/eprint/674

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