Physical Review B (Condensed Matter and Materials Physics) -- July 15, 1998 -- Volume 58, Issue 4, pp. R1762-R1765

Quantum Hall effect in three-dimensional layered systems

Yigal Meir
Department of Physics, Ben-Gurion University, Beer Sheva 84105, Israel

(Received 19 May 1998)

Using a mapping of a layered three-dimensional system with significant interlayer tunneling onto a spin Hamiltonian, the phase diagram in the strong magnetic-field limit is obtained in the semiclassical approximation. This phase diagram, which exhibits 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.

PACS: 73.40.Hm, 64.60.Fr, 73.20.Dx

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