Chiral Surface States in the Bulk Quantum Hall Effect

Abstract

In layered samples which exhibit a bulk quantum Hall effect (QHE), a two-dimensional (2d) surface ``sheath" of gapless excitations is expected. These excitations comprise a novel 2d chiral quantum liquid which should dominate the low temperature transport along the field (z-axis). For the integer QHE, we show that localization effects are completely absent in the ``sheath", giving a metallic z-axis conductivity. For fractional filling $\nu =1/3$, the ``sheath" is a 2d non-Fermi liquid, with incoherent z-axis transport and ${\sigma }_{zz}\sim T^3$. Experimental implications for the Bechgaard salts are discussed.

4 pages, RevTeX 3.0, with two encapsulated postscript figures, which can be automatically included in-text if desired. The complete postscript file is available on the WWW at http://www.itp.ucsb.edu/~balents/sheath.ps

References in corpus (2)

• Scaling Theory of the Integer Quantum Hall Effect
• Three-dimensional disordered conductors in a strong magnetic field: surface states and quantum Hall plateaus

Cited by in corpus (85)

• Topological Photonics
• Random-Matrix Theory of Quantum Transport
• Three-Dimensional Topological Insulators
• Three-dimensional quantum Hall effect and metal-insulator transition in ZrTe5
• The spin quantum Hall effect in unconventional superconductors
• Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics
• Weyl superconductors
• Recent Developments in Non-Fermi Liquid Theory
• Random Network Models and Quantum Phase Transitions in Two Dimensions
• Signatures of Electron Fractionalization in Ultraquantum Bismuth
• Observation of Weyl point pair annihilation in a gyromagnetic photonic crystal
• Topological Weyl Semi-metal from a Lattice Model
• Theory of the Three Dimensional Quantum Hall Effect in Graphite
• Two phase transitions induced by a magnetic field in graphite
• Patterns of Electro-magnetic Response in Topological Semi-metals
• Chiral non-Fermi Liquids
• Classification of topological crystalline insulators based on representation theory
• Topological protection of bound states against the hybridization
• Spin-valley locking, bulk quantum Hall effect and chiral surface state in a noncentrosymmetric Dirac semimetal BaMnSb${}_2$
• Exotic topological density waves in cold atomic Rydberg fermions
• Scaling and Crossover Functions for the Conductance in the Directed Network Model of Edge States
• Depinning and Dynamics of Systems with Competing Interactions in Quenched Disorder
• Conductances, Conductance Fluctuations, and Level Statistics on the Surface of Multilayer Quantum Hall States
• Fractional topological phases in three-dimensional coupled-wire systems
• Quantum phase transitions of a disordered antiferromagnetic topological insulator
• Critical points in edge tunneling between generic FQH states
• Gapless layered three-dimensional fractional quantum Hall states
• Models of three-dimensional fractional topological insulators
• Breakdown of Diffusion on the Edge
• Critical State Behaviour in a Low Dimensional Metal Induced by Strong Magnetic Fields
• Spin-directed network model for the surface states of weak three-dimensional ${\mathbb{Z}}_2^{}$ topological insulators
• Charge density waves in graphite; towards the magnetic ultra-quantum limit
• Emergence of Gapped Bulk and Metallic Side Walls in the Zeroth Landau level in Dirac and Weyl semimetals
• Metallic state in bosonic systems with continuously degenerate minima
• Chiral Metal as a Ferromagnetic Super Spin Chain
• Graphite in 90 T: Evidence for Strong-coupling Excitonic Pairing
• The chiral SYK model
• The transverse magnetoresistance of the two-dimensional chiral metal
• Interlayer Magnetic Coupling and the Quantum Hall Effect in Multilayer Electron Systems
• The fractional quantum Hall effect in infinite layer systems
• Theory of transport property of density wave phases in three-dimensional metals and semimetals under high magnetic field
• Generalized Connes-Chern characters in KK-theory with an application to weak invariants of topological insulators
• Chiral Metal as a Heisenberg Ferromagnet
• Localization and Metal-Insulator Transition in Multi-Layer Quantum Hall Structures
• Conductance and its universal fluctuations in the directed network model at the crossover to the quasi-one-dimensional regime
• Wrapping Current versus Bulk Integer Quantum Hall Effect in Three Dimensions
• Transport of Surface States in the Bulk Quantum Hall Effect
• Edge and bulk electron states in a quasi-one-dimensional metal in a magnetic field: The semi-infinite Wannier-Stark ladder
• Dynamics and Critical Behaviour of the q-model
• Notes on Infinite Layer Quantum Hall Systems
• Edge states of integral quantum Hall states versus edge states of antiferromagnetic quantum spin chains
• A new quantum fluid at high magnetic fields in the marginal charge-density-wave system $\alpha$-(BEDT-TTF)${}_{2}M$Hg(SCN)${}_4$ (where $M=$~K and Rb)
• The effects of interactions and disorder in the two-dimensional chiral metal
• Sound of Fermi arcs
• Edge electron states for quasi-one-dimensional organic conductors in the magnetic-field-induced spin-density-wave phases
• Integer Quantum Hall Effect in Double-Layer Systems
• Quantum-Hall physics and three dimensions
• Quantum Hall Effect in Three Dimensional Layered Systems
• Ground-state atlas of a three-dimensional semimetal in the quantum limit
• Surface Transport in the ν=0 Quantum Hall Ferromagnetic State in the Organic Dirac Fermion System
• Electron Interactions and Transport Between Coupled Quantum Hall Edges
• Transport between edge states in multilayer integer quantum Hall systems: exact treatment of Coulomb interactions and disorder
• The Quantum Skin Hall Effect
• Spectral Properties of Three Dimensional Layered Quantum Hall Systems
• Theoretical study for 3D quantum Hall effect in a periodic electron system
• Three-dimensional fracton topological orders with boundary Toeplitz braiding
• Metal-insulator transition in a multilayer system with a strong magnetic field
• Interplay between intrinsic and emergent topological protection on interacting helical modes
• Are Directed Waves Multifractal?
• Thouless conductances of a three-dimensional quantum Hall system
• Theory of metal-insulator transitions in graphite under high magnetic field
• Floating topological phases
• Transport in a One-Dimensional Hyperconductor
• Control of Plasmons in Topological Insulators via Local Perturbations
• Absence of localization in Weyl semimetals
• Bilayers and quasi-3D stacks of Jain series fractional quantum Hall states from parton construction
• Spinless particle in rapidly fluctuating random magnetic field
• Simulations of Noise in Disordered Systems
• Universal conductance distribution in three dimensional systems in high magnetic fields
• On the dephasing time of the chiral metal
• Effect of surface disorder on the chiral surface states of a three-dimensional quantum Hall system
• Current Algebra Approach to 2d Chiral Metals
• Quasiparticle tunnelling in two coupled chiral SYK model
• Three-dimensional quantum Hall states as a chiral electromagnetic filter
• Quantum Hall Transitions in Field Induced Spin Density Wave Systems