Edge reconstruction of fractional quantum Hall liquids with spin degrees of freedom
arXiv:1309.0889 · doi:10.1103/PhysRevB.88.205128
Abstract
We study the interplay of confining potential, electron-electron interaction, and Zeeman splitting at the edges of fractional quantum Hall liquids, using numerical diagonalization of finite-size systems. The filling factors studied include 1/3, 5/2, 2/5, and 2/3. In the absence of Zeeman splitting and an edge, the first two have spin fully polarized ground states, while the latter two have singlet ground states. We find that with few exceptions, edge instabilities of these systems are triggered by softening of edge spin waves for Abelian fractional quantum Hall liquids (1/3, 2/5 and 2/3 liquids), and are triggered by softening of edge magnetoplasmon excitations for non-Abelian 5/2 liquid at the smoother confinement side. Phase diagrams are obtained in the accessible parameter spaces.
10 pages, 9 figures, 5 tables
References in corpus (11)
- Fractional quantum Hall effect at : Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
- Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime
- Spin polarization of the quantum Hall state
- Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
- Testing the topological nature of the fractional quantum Hall edge
- Realizing Universal Edge Properties in Graphene Fractional Quantum Hall Liquids
- Fractional quantum Hall edge: Effect of nonlinear dispersion and edge roton
- Ground state and edge excitations of quantum Hall liquid at filling factor 2/3
- Microscopic Study of Edge Excitations of Spin-Polarized and Spin-Unpolarized Fractional Quantum Hall Effect
- Trapping Abelian anyons in fractional quantum Hall droplets
- Edge spin excitations and reconstructions of integer quantum Hall liquids