The fractional quantum Hall effect in infinite layer systems
Mesoscale and Nanoscale Physics
2007-05-23 v2 Strongly Correlated Electrons
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 semi-metals that conduct only at T > 0 or with disorder.
Cite
@article{arxiv.cond-mat/0006432,
title = {The fractional quantum Hall effect in infinite layer systems},
author = {J. D. Naud and Leonid P. Pryadko and S. L. Sondhi},
journal= {arXiv preprint arXiv:cond-mat/0006432},
year = {2007}
}
Comments
RevTeX 3.0, 4p., 2 figs with epsf; reference to the detailed companion paper cond-mat/0006506 added