Realizing Universal Edge Properties in Graphene Fractional Quantum Hall Liquids
arXiv:1109.5994 · doi:10.1103/PhysRevLett.107.236806
Abstract
Universal chiral Luttinger liquid behavior has been predicted for fractional quantum Hall edge states, but so far has not been observed experimentally in semiconductor-based two-dimensional electron gases. One likely cause of this absence of universality is the generic occurrence of edge reconstruction in such systems, which is the result of a competition between confinement potential and Coulomb repulsion. We show that due to a completely different mechanism of confinement, edge reconstruction can be avoided in graphene, which allows for the observation of the predicted universality.
5 pages, 3 figures
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Cited by in corpus (22)
- Evolution of Landau Levels into Edge States at an Atomically Sharp Edge in Graphene
- Fractional and integer quantum Hall effects in the zeroth Landau level in graphene
- Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
- Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
- Determination of topological edge quantum numbers of fractional quantum Hall phases
- Imaging anyons with scanning tunneling microscopy
- Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
- Edge structure of graphene monolayers in the ν = 0 quantum Hall state
- Quantum Hall Effects in Monolayer-Bilayer Graphene Planar Junctions
- Stability of edge states in strained graphene
- Absence of edge reconstruction for quantum Hall edge channels in graphene devices
- Edge spin excitations and reconstructions of integer quantum Hall liquids
- Electrical noise spectroscopy of magnons in a quantum Hall ferromagnet
- Identification of the Fractional quantum Hall edge modes by density oscillations
- The Monte Carlo simulation of the topological quantities in FQH systems
- Edge reconstruction of fractional quantum Hall liquids with spin degrees of freedom
- Entanglement spectrum edge reconstruction and correlation hole of the FQH liquids
- Entangled multi-knot lattice model of anyon current
- Spontaneous localization at a potential saddle point from edge state reconstruction in a quantum Hall point contact
- Hydrodynamic study of edge spin-vortex excitations of fractional quantum Hall fluid
- Edge reconstruction of compressible Quantum Hall fluid in the filling fraction range 1/3 to 2/3
- Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1