Quantum Hall Effect in Three Dimensional Layered Systems

Abstract

Using a mapping of a layered three-dimensional system with significant inter-layer tunneling onto a spin-Hamiltonian, the phase diagram in the strong magnetic field limit is obtained in the semi-classical approximation. This phase diagram, which exhibit a metallic phase for a finite range of energies and magnetic fields, and the calculated associated critical exponent, $\nu =4/3$, agree excellently with existing numerical calculations. The implication of this work for the quantum Hall effect in three dimensions is discussed.

4 pages + 4 figures

References in corpus (2)

• Localization and Metal-Insulator Transition in Multi-Layer Quantum Hall Structures
• Transport of Surface States in the Bulk Quantum Hall Effect

Cited by in corpus (5)

• 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
• A New Spin-Orbit Induced Universality Class in the Quantum Hall Regime ?
• Thouless conductances of a three-dimensional quantum Hall system