Power-law localization in two-dimensional systems theory and experiment

M. Kaveh

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


It is shown that all the non-metallic transport phenomena in the weak-disorder limit for small length scales result from a quasi-extended wave function [Equation Found]- For large length scales, ΦE changes into pure power-law states, ΦE = C/rS. For S< 1, diffusive transport is predicted with σdif - TS/(S+1). For stronger disorder, S increases and for S> 1, hopping conduction is predicted. In this region the negative magnetoreisistance should disappear. Experimental evidence is given for all the above predictions. We also construct a two-parameter scaling function, appropriate to power-law localization, which is in agreement with experiment. We show that all the available data support the existence of power-law localized states which are separated by a mobility edge from exponential localized states.

Original languageEnglish
Pages (from-to)521-540
Number of pages20
JournalPhilosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Issue number3
StatePublished - Sep 1985


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