Fractional Quantum Hall Effect in Infinite-Layer Systems

J. D. Naud, Leonid P. Pryadko, and S. L. Sondhi
Phys. Rev. Lett. 85, 5408 – Published 18 December 2000
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Abstract

Stacked two dimensional electron systems in transverse magnetic fields exhibit three dimensional fractional quantum Hall phases. We analyze the simplest such phases and find novel bulk properties, e.g., irrational braiding. These phases host “one and a half” dimensional surface phases in which motion in one direction is chiral. We offer a general analysis of conduction in the latter by combining sum rule and renormalization group arguments, and find that when interlayer tunneling is marginal or irrelevant they are chiral semimetals that conduct only at T>0 or with disorder.

  • Received 6 July 2000

DOI:https://doi.org/10.1103/PhysRevLett.85.5408

©2000 American Physical Society

Authors & Affiliations

J. D. Naud1, Leonid P. Pryadko2, and S. L. Sondhi1

  • 1Department of Physics, Princeton University, Princeton, New Jersey 08544
  • 2School of Natural Sciences, Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540

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Vol. 85, Iss. 25 — 18 December 2000

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