The fractional quantum Hall effect in infinite layer systems

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.

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

References in corpus (4)

• Non-zero temperature transport near quantum critical points
• Three-dimensional disordered conductors in a strong magnetic field: surface states and quantum Hall plateaus
• Chiral Surface States in the Bulk Quantum Hall Effect
• Quantum Hall Bilayers and the Chiral Sine-Gordon Equation

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• Planar p-String Condensation: Chiral Fracton Phases from Fractional Quantum Hall Layers and Beyond
• Broken-Symmetry States in Quantum Hall Superlattices
• Notes on Infinite Layer Quantum Hall Systems
• Quantum-Hall physics and three dimensions
• Electron Interactions and Transport Between Coupled Quantum Hall Edges
• Magic momenta and three dimensional Landau levels from a three dimensional graphite moiré superlattice
• Transport between edge states in multilayer integer quantum Hall systems: exact treatment of Coulomb interactions and disorder
• Three-dimensional fracton topological orders with boundary Toeplitz braiding
• Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
• Floating topological phases
• Interaction and dimensionality in the quantum Hall physics
• Bilayers and quasi-3D stacks of Jain series fractional quantum Hall states from parton construction
• Quasiparticle tunnelling in two coupled chiral SYK model
• Interlayer-correlated fractional quantum Hall state in a trilayer electron system