Edge reconstructions in fractional quantum Hall systems
arXiv:cond-mat/0303359 · doi:10.1103/PhysRevB.68.035332
Abstract
Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations are present. We present a {\it microscopic} calculation of the edge states in the fractional quantum Hall systems at various filling factors using the extended Hamiltonian theory of the fractional quantum Hall effect. We find that at the quantum Hall edge undergoes a reconstruction as the background potential softens, whereas quantum Hall edges at higher filling factors, such as , are robust against reconstruction. We present the results for the dependence of the edge states on various system parameters such as temperature, functional form and range of electron-electron interactions, and the confining potential. Our results have implications for the tunneling experiments into the edge of a fractional quantum Hall system.
11 pages, 9 figures; minor typos corrected; added 2 references
References in corpus (13)
- Sharp and Smooth Boundaries of Quantum Hall Liquids
- Quantum Dots in Strong Magnetic Fields: Stability Criteria for the Maximum Density Droplet
- Lowest-Landau-level theory of the quantum Hall effect: the Fermi-liquid-like state
- Towards a field theory of the fractional quantum Hall states
- Reconstruction of Fractional Quantum Hall Edges
- The Structure of Fractional Edge States: A Composite Fermion Approach
- Universal structure of the edge states of the fractional quantum Hall states
- Hamiltonian Theory of the Composite Fermion Wigner Crystal
- Relevance of inter-composite fermion interaction to the edge Tomonaga-Luttinger liquid
- Effective action of a compressible QH state edge: application to tunneling
- Dependence of the Fractional Quantum Hall Edge Critical Exponent on the Range of Interaction
- Periphery deformations and tunneling at correlated quantum-Hall edges
- Hamiltonian Theory of the FQHE: Conserving Approximation for Incompressible Fractions
Cited by in corpus (33)
- Aharonov-Bohm interference of fractional quantum Hall edge modes
- Proliferation of neutral modes in fractional quantum Hall states
- Universality of the edge tunneling exponent of fractional quantum Hall liquids
- Fractional Edge Reconstruction in Integer Quantum Hall Phases
- Testing the topological nature of the fractional quantum Hall edge
- Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime
- Fractional quantum Hall edge: Effect of nonlinear dispersion and edge roton
- Microscopic Study of Edge Excitations of Spin-Polarized and Spin-Unpolarized Fractional Quantum Hall Effect
- Universal Periods in Quantum Hall Droplets
- Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
- Magnetic field dependent equilibration of fractional quantum Hall edge modes
- Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
- Density matrix renormalization group study of the edge states in fractional quantum Hall systems
- Correlated tunneling and the instability of the fractional quantum Hall edge
- Microscopic study of the 2/5 fractional quantum Hall edge
- Charge and Spin Reconstruction in Quantum Hall Strips
- Transport of fractional Hall quasiparticles through an antidot
- Edge Reconstruction of a Time-Reversal Invariant Insulator: Compressible-Incompressible Stripes
- The Monte Carlo simulation of the topological quantities in FQH systems
- Incidence of the boundary shape in the effective theory of fractional quantum Hall edges
- Two-component parton fractional quantum Hall state in graphene
- Bulk-edge Correspondence in the Adiabatic Heuristic Principle
- Edge reconstruction of fractional quantum Hall liquids with spin degrees of freedom
- Temperature dependent equilibration of spin orthogonal quantum Hall edge modes
- Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases
- Collective edge modes in fractional quantum Hall systems
- Fractional Quantum Hall Edge Electrons, Chiral Anomaly and the Berry Phase
- Sensing the binding and unbinding of anyons at impurities
- Edge reconstruction of compressible Quantum Hall fluid in the filling fraction range 1/3 to 2/3
- Charge and Statistics of Quasiparticles in Fractional Quantum Hall Effec
- Transmission line approach to transport of heat in chiral systems with dissipation
- Elevated Hall Responses as Indicators of Edge Reconstruction
- Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1