The fractional quantum Hall effect in infinite layer systems

Details The fractional quantum Hall effect in infinite layer systems The fractional quantum Hall effect in infinite layer systems

2000-06-27

arxiv.org/abs/cond-mat/0006432v2

Phys. Rev. Lett. 85, 5408-11 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTeX 3.0, 4p., 2 figs with epsf; reference to the detailed companion paper cond-mat/0006506 added

Scientific paper

10.1103/PhysRevLett.85.5408

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.

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