Quantum Hall Effect in Three Dimensional Layered Systems

Details Quantum Hall Effect in Three Dimensional Layered Systems Quantum Hall Effect in Three Dimensional Layered Systems

1997-12-17

arxiv.org/abs/cond-mat/9712197v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages + 4 figures

Scientific paper

10.1103/PhysRevB.58.R1762

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.

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