Localization and Metal-Insulator Transition in Multi-Layer Quantum Hall Structures

Abstract

We study the phase structure and Hall conductance quantization in weakly coupled multi-layer electron systems in the integer quantum Hall regime. We derive an effective field theory and perform a two-loop renormalization group calculation. It is shown that (i) finite interlayer tunnelings (however small) give rise to successive metallic and insulating phases and metal-insulator transitions in the unitary universality class. (ii) The Hall conductivity is not renormalized in the metallic phases in the 3D regime. (iii) The Hall conductances are quantized in the insulating phases. In the bulk quantum Hall phases, the effective field theory describes the transport on the surface.

12 pages, Revtex, no figures, minor corrections, to appear in Phys. Rev. Lett. 79, 4002, 1997

Cited by in corpus (13)

• Disorder and metal-insulator transitions in Weyl semimetals
• Effective field theory of the disordered Weyl semimetal
• Theory of the strongly disordered Weyl semimetal
• Conductances, Conductance Fluctuations, and Level Statistics on the Surface of Multilayer Quantum Hall States
• The transverse magnetoresistance of the two-dimensional chiral metal
• Broken-Symmetry States in Quantum Hall Superlattices
• The effects of interactions and disorder in the two-dimensional chiral metal
• Quantum Hall Effect in Three Dimensional Layered Systems
• Spectral Properties of Three Dimensional Layered Quantum Hall Systems
• On Anderson Localization and Chiral Anomaly in Disordered Time-Reversal Invariant Weyl Semimetals: Nonperturbative and Berry Phase Effects
• Thouless conductances of a three-dimensional quantum Hall system
• Absence of localization in Weyl semimetals
• Reply to Comment on "Localization and Metal-Insulator Transition in Multilayer Quantum Hall Structures"