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

Abstract

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 $\nu =1.57\pm 0.10$.

Latex file, 3 figures

References in corpus (5)

• Three-dimensional disordered conductors in a strong magnetic field: surface states and quantum Hall plateaus
• Chiral Surface States in the Bulk Quantum Hall Effect
• Weak Field Phase Diagram for an Integer Quantum Hall Liquid
• Transition from Integer Quantum Hall State to Insulator
• Phase diagram of localization in a magnetic field

Cited by in corpus (3)

• Thouless conductances of a three-dimensional quantum Hall system
• Effect of surface disorder on the chiral surface states of a three-dimensional quantum Hall system
• The impact of dimensionality on universality of quantum Hall transitions