Density matrix renormalization group study of the $\nu =1/3$ edge states in fractional quantum Hall systems

Abstract

The edge states in the fractional quantum Hall systems at filling factor $\nu =1/3$ are studied by the density matrix renormalization group method. It is shown that the density oscillation induced by the local boundary condition at the edge is characterized by the wave number of the minimum magnetoroton excitation, and this structure is partially reconstructed with the change in the confinement potential shape. In particular, the $\nu =1$ counterpropagating edge channel appears with the change in the chemical potential, which is consistent with recent experiments on heat transport. The stability of the bulk states against the change in the number of electrons confirms that the bulk part of the fractional quantum Hall state is incompressible, while the edge state is compressible.

References in corpus (5)

• Observation of neutral modes in the fractional quantum Hall regime
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• Guiding-center Hall viscosity and intrinsic dipole moment along edges of incompressible fractional quantum Hall fluids
• Fractional quantum Hall edge: Effect of nonlinear dispersion and edge roton
• Entanglement spectrum edge reconstruction and correlation hole of the FQH liquids

Cited by in corpus (7)

• Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• The Monte Carlo simulation of the topological quantities in FQH systems
• Universal Modelling of Oscillations in Fractional Quantum Hall Fluids
• Even-denominator fractional quantum Hall state in conventional triple-gated quantum point contact
• Bulk-edge Correspondence in the Adiabatic Heuristic Principle
• Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases