Symmetry-breaking skyrmion states in fractional quantum Hall systems

TL;DR

This paper analytically calculates the energies and spins of skyrmions in fractional quantum Hall systems, revealing their symmetry-breaking nature and existence at high magnetic fields in GaAs samples.

Contribution

It introduces an analytical approach to determine skyrmion energies and spins, emphasizing their spontaneous symmetry-breaking in fractional quantum Hall states.

Findings

Skyrmions exist at magnetic fields up to 7 T in GaAs.

Skyrmion states break $L_Z$ and $S_Z$ symmetries.

Analytical calculations match experimental conditions.

Abstract

We calculate in an analyical fashion the energies and net spins of skyrmions in fractional quantum Hall systems, based on the suggestion that skyrmion states are spontaneously $L_Z$ and $S_Z$ symmetry-breaking states. The quasihole-skyrmion state with a charge $-e/3$ around $\nu$ = 1/3, where the ground state is known as a spin-polarized ferromagnetic state, is found to exist even in high magnetic fields up to about 7 T for GaAs samples.