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

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

1997-09-20

arxiv.org/abs/cond-mat/9709223v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevLett.79.4002

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.

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