Ground state and edge excitations of quantum Hall liquid at filling factor 2/3

Abstract

We present a numerical study of fractional quantum Hall liquid at Landau level filling factor $\nu =2/3$ in a microscopic model including long-range Coulomb interaction and edge confining potential, based on the disc geometry. We find the ground state is accurately described by the particle-hole conjugate of a $\nu =1/3$ Laughlin state. We also find there are two counter-propagating edge modes, and the velocity of the forward-propagating mode is larger than the backward-propagating mode. The velocities have opposite responses to the change of the background confinement potential. On the other hand changing the two-body Coulomb potential has qualitatively the same effect on the velocities; for example we find increasing layer thickness (which softens of the Coulomb interaction) reduces both the forward mode and the backward mode velocities.

arXiv comment12 pages, 13 figures

References in corpus (27)

• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Towards identification of a non-abelian state: observation of a quarter of electron charge at $\nu =5/2$ quantum Hall state
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Impurity scattering and transport of fractional Quantum Hall edge state
• Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Reconstruction of Fractional Quantum Hall Edges
• Observation of Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer
• Fractional quantum Hall effect at $\nu =5/2$: Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
• Edge reconstruction in the fractional quantum Hall regime
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• Contacts and Edge State Equilibration in the Fractional Quantum Hall Effect
• Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Numerical Tests of the Chiral Luttinger Liquid Theory for Fractional Hall Edges
• Quantum Hall States at $\nu =\frac{2}{k+2}$
• Universality of the edge tunneling exponent of fractional quantum Hall liquids
• Aharanov-Bohm interference and fractional statistics in a quantum Hall interferometer
• Superperiods and quantum statistics of Laughlin quasiparticles
• Trapping Abelian anyons in fractional quantum Hall droplets
• Observability of counterpropagating modes at fractional-quantum-Hall edges
• Separately contacted edge states at high imbalance in the integer and fractional quantum Hall effect regime

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• Determination of tunneling charge via current measurements
• Non-equilibrium noise in transport across a tunneling contact between $\nu =2/3$ fractional quantum Hall edges
• Microscopic Study of Edge Excitations of Spin-Polarized and Spin-Unpolarized $\nu =2/3$ Fractional Quantum Hall Effect
• Half-integer conductance plateau at the $\nu =2/3$ fractional quantum Hall state in a quantum point contact
• Chiral Luttinger liquids and a generalized Luttinger's theorem in fractional quantum Hall edges via finite-entanglement scaling
• Theory of Competing Charge Density Wave, Kekule and Antiferromagnetic ordered Fractional Quantum Hall states in Graphene aligned with Boron Nitride
• Parafermions, induced edge states and domain walls in the fractional quantum Hall effect spin transitions
• Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
• Superperiods in interference of e/3 Laughlin quasiparticles encircling filling 2/5 fractional quantum Hall island
• Fractional quantum Hall states with negative flux: edge modes in some Abelian and non-Abelian cases
• Bulk-edge Correspondence in the Adiabatic Heuristic Principle
• Edge reconstruction of fractional quantum Hall liquids with spin degrees of freedom
• Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases
• Sensing the binding and unbinding of anyons at impurities