Metal-insulator transition in a multilayer system with a strong magnetic field

Details Metal-insulator transition in a multilayer system with a strong magnetic field Metal-insulator transition in a multilayer system with a strong magnetic field

1999-04-26

arxiv.org/abs/cond-mat/9904358v1

PRB 59, R5277 (1999)

Physics

Condensed Matter

Latex file, 3 figures

Scientific paper

10.1103/PhysRevB.59.R5277

We study the Anderson localization in a weakly coupled multilayer system with a strong magnetic field perpendicular to the layers. The phase diagram of 1/3 flux quanta per plaquette is obtained. The phase diagram shows that a three-dimensional quantum Hall effect phase exists for a weak on-site disorder. For intermediate disorder, the system has insulating and normal metallic phases separated by a mobility edge. At an even larger disorder, all states are localized and the system is an insulator. The critical exponent of the localization length is found to be $\nu=1.57\pm0.10$.

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