TY - JOUR

T1 - Localization in disordered systems

AU - Kaveh, M.

PY - 1984/8

Y1 - 1984/8

N2 - A discussion is presented of localization effects on the conductivity a of a disordered system. It is shown that for any number of dimensions, the value of a drops well below the Boltzmann conductivity ne2τ/m when the disorder is increased. Three arguments are reviewed for power-law corrections to the eigenstates ψ. The power-law correction to ψ yields exactly the same reduction in a as that obtained from diagrammatic perturbative approaches. The critical behaviour of σ near the Anderson transition in three dimensions is discussed and compared with experiment. In particular, a possible explanation is suggested for the critical exponent (Equation found). In two dimensions, experiments on Si inversion layers seem to contradict the scaling theory. Including higher-order effects of the power-law corrections to accounts for the experimental non-universality of the function in two dimensions.

AB - A discussion is presented of localization effects on the conductivity a of a disordered system. It is shown that for any number of dimensions, the value of a drops well below the Boltzmann conductivity ne2τ/m when the disorder is increased. Three arguments are reviewed for power-law corrections to the eigenstates ψ. The power-law correction to ψ yields exactly the same reduction in a as that obtained from diagrammatic perturbative approaches. The critical behaviour of σ near the Anderson transition in three dimensions is discussed and compared with experiment. In particular, a possible explanation is suggested for the critical exponent (Equation found). In two dimensions, experiments on Si inversion layers seem to contradict the scaling theory. Including higher-order effects of the power-law corrections to accounts for the experimental non-universality of the function in two dimensions.

UR - http://www.scopus.com/inward/record.url?scp=84945623636&partnerID=8YFLogxK

U2 - 10.1080/13642818408238836

DO - 10.1080/13642818408238836

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AN - SCOPUS:84945623636

SN - 1364-2812

VL - 50

SP - 175

EP - 187

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 - 2

ER -