Universal structure of the edge states of the fractional quantum Hall states
arXiv:cond-mat/9810168 · doi:10.1103/PhysRevB.59.15323
Abstract
We present an effective theory for the bulk fractional quantum Hall states on the Jain sequences on closed surfaces and show that it has a universal form whose structure does not change from fraction to fraction. The structure of this effective theory follows from the condition of global consistency of the flux attachment transformation on closed surfaces. We derive the theory of the edge states on a disk that follows naturally from this globally consistent theory on a torus. We find that, for a fully polarized two-dimensional electron gas, the edge states for all the Jain filling fractions have only one propagating edge field that carries both energy and charge, and two non-propagating edge fields of topological origin that are responsible for the statistics of the excitations. Explicit results are derived for the electron and quasiparticle operators and for their propagators at the edge. We show that these operators create states with the correct charge and statistics. It is found that the tunneling density of states for all the Jain states scales with frequency as .
10 pages
References in corpus (3)
Cited by in corpus (60)
- Observation of neutral modes in the fractional quantum Hall regime
- Signatures of fractional statistics in noise experiments in quantum Hall fluids
- Edge reconstruction in the fractional quantum Hall regime
- Particle-Hole Symmetry and the Composite Fermi Liquid
- Field Theoretical Description of Quantum Hall Edge Reconstruction
- Fermi liquid to Luttinger liquid transition at the edge of a two-dimensional electron gas
- Revisiting the Hanbury Brown-Twiss set-up for fractional statistics
- Effective field theories for topological insulators by functional bosonization
- Interactions suppress Quasiparticle Tunneling at Hall Bar Constrictions
- Relevance of inter-composite fermion interaction to the edge Tomonaga-Luttinger liquid
- One-particle density matrix and momentum distribution function of one-dimensional anyon gases
- Charge tunneling in fractional edge channels
- Effective action of a compressible QH state edge: application to tunneling
- Entanglement properties and moment distributions of a system of hard-core anyons on a ring
- Edge-mode velocities and thermal coherence of quantum Hall interferometers
- Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators
- Edge reconstructions in fractional quantum Hall systems
- Non-commutative Chern-Simons for the Quantum Hall System and Duality
- Relevance of multiple-quasiparticle tunneling between edge states at ν=p/(2np+1)
- Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments
- Fermion Chern Simons Theory of Hierarchical Fractional Quantum Hall States
- Universality of the edge tunneling exponent of fractional quantum Hall liquids
- Testing the topological nature of the fractional quantum Hall edge
- Composite Fermions on a Torus
- Chern-Simons Composite Fermion Theory of Fractional Chern Insulators
- Neutral modes edge state dynamics through quantum point contacts
- Transport in the Laughlin quasiparticle interferometer: Evidence for topological protection in an anyonic qubit
- Theoretical investigation of edge reconstruction in the =5/2 and 7/3 fractional quantum Hall states
- Long tunneling contact as a probe of fractional quantum Hall neutral edge modes
- Composite Fermion states on the torus
- Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems
- Chiral Partition Functions of Quantum Hall Droplets
- Symanzik's Method Applied To The Fractional Quantum Hall Edge States
- Matrix product state representation of quasielectron wave functions
- Boundary Modes in the Chamon Model
- NC Effective Gauge Model for Multilayer FQH States
- Non-equilibrium tunneling into general quantum Hall edge states
- Electron operator at the edge of the 1/3 fractional quantum Hall liquid
- Microscopic study of the 2/5 fractional quantum Hall edge
- A Novel CFT Approach to Bulk Wave Functions in the Fractional Quantum Hall Effect
- Transport through constricted quantum Hall edge systems: beyond the quantum point contact
- A note on the topological order of noncommutative Hall fluids
- Effective field theory and tunneling currents in the fractional quantum Hall effect
- Multiple-quasiparticle agglomerates at ν=2/5
- Transition from two-component 332 Halperin state to one-component Jain state at filling factor ν=2/5
- Fractional statistics and duality: strong tunneling behavior of edge states of quantum Hall liquids in the Jain sequence
- Quasi-particle propagation in quantum Hall systems
- Numerical Test of Disk Trial Wave function for Half-Filled Landau Level
- Infrared catastrophe and tunneling into strongly correlated electron systems: Perturbative x-ray edge limit
- Collective edge modes in fractional quantum Hall systems
- Field Theoretic Aspects of Condensed Matter Physics: An Overview
- FQHE interferometers in strong tunneling regime. The role of compactness of edge fields
- Neutrino Oscillations and the Early Universe
- Instanton method for the electron propagator
- Universality Lost: Relation between quantizations of the Hall conductance and the edge exponents in fractional quantum Hall effect
- Infrared catastrophe and tunneling into strongly correlated electron systems: Exact solution of the x-ray edge limit for the 1D electron gas and 2D Hall fluid
- Quasiparticles in the multicomponenet Zhang-Hansson-Kivelson model
- Vortex Fractional Fermion Number through Heat Kernel methods and Edge States
- Jain hierarchy for the Fractional Quantum Hall Effect
- Two-component theory of a droplet of electrons in half-filled Landau level