TY - JOUR

T1 - Power-law localization in two-dimensional systems theory and experiment

AU - Kaveh, M.

PY - 1985/9

Y1 - 1985/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84908848577&partnerID=8YFLogxK

U2 - 10.1080/13642818508240621

DO - 10.1080/13642818508240621

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AN - SCOPUS:84908848577

SN - 1364-2812

VL - 52

SP - 521

EP - 540

JO - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties

JF - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties

IS - 3

ER -