Edge spin excitations and reconstructions of integer quantum Hall liquids

Abstract

We study the effect of electron-electron interaction on the charge and spin structures at the edge of integer quantum Hall liquids, under three different kinds of confining potentials. Our exact diagonalization calculation for small systems indicates that the low energy excitations of ν=1 ferromagnetic state are bosonic edge spin waves. Instabilities of the ferromagnetic state with altering confinement strength result from the softening of these edge spin waves, and formation of edge spin textures. In ν\lesssim 2 regime, exact diagonalization on edge electron systems indicates that compact Hartree-Fock states with different total spin always become ground states in some regions of parameter space, and the ground states appear in between two compact states are their edge spin waves. The initial ν=2 instability is toward the compact state with total spin 1. Larger systems are studied using a microscopic trial wave functions, and some quantitative predictions on the edge instabilities for a certain type of confining potential are reached in the thermodynamic limit.

15 pages, 16 figures, 2 tables

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• Spin Mode-Switching at the Edge of a Quantum Hall System
• Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
• Collective excitations in chiral Stoner magnets
• Edge Reconstruction of a Time-Reversal Invariant Insulator: Compressible-Incompressible Stripes
• 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
• Hydrodynamic study of edge spin-vortex excitations of fractional quantum Hall fluid