The v=1 Quantum Hall edge with a realistic potential

TL;DR

This paper investigates how the edge modes of a v=1 Quantum Hall system soften with decreasing confining potential strength, revealing a phase transition to a spin textured edge at low Zeeman to Coulomb energy ratios.

Contribution

It introduces a realistic potential model using a displaced background charge plane and identifies a phase transition to a spin textured edge in the v=1 Quantum Hall system.

Findings

Edge modes soften as confining potential decreases

Phase transition to spin textured edge occurs at g<0.012

Realistic potential model with displaced background charge plane

Abstract

We study the softening of the edge modes of the compact ferromagnetic v=1 Quantum Hall edge as the strength of the confining potential decreases. To obtain a realistic potential we use a displaced background charge plane. We find a phase transition into a spin textured edge for g<0.012 (g is the ratio betwen the Zeeman and Coulomb energies).