Transition from \nu=8/5 to \nu=5/3 in the low Zeeman energy limit

TL;DR

This paper investigates the transition of fractional quantum Hall states from /5 to /3 at low Zeeman energy, analyzing skyrmion stability, polarization behavior, and revisiting skyrmion properties at 1.

Contribution

It introduces a new method for analyzing skyrmions at 1 and explores the polarization and stability of quasiparticles across filling factors at low Zeeman energy.

Findings

Unpolarized quasiparticles are stable below B.02T.

Polarization varies linearly with filling factor between 8/5 and 5/3.

Reexamination of skyrmion energy and wave function at 1.

Abstract

Skyrmions in the FQHE at filling fractions above \nu=1/3 are studied within the anyon model and by exact diagonalization. Relations to the composite fermion theory are pointed out. We find that unpolarized quasiparticles above \nu=1/3 are stable below B\approx 0.02T. At low Zeeman energy the polarization in the range \nu=8/5 ... 5/3 is found to be a linear function of the filling factor. We also reexamine the energy and wave function of skyrmions at \nu=1 by a new method.