Magnetic Properties of the Skyrmion Gas in Two Dimensions

Abstract

The classical ferromagnet is analyzed in two dimensions via a mean-field treatment of the CP${}^1$ model valid in the limit of low temperature and of weak magnetic field. At high skyrmion densities, we find that the magnetization begins to decrease linearly with temperature, but it then crosses over to a Curie-law at higher temperature. The comparison of these results with recent Knight-shift experiments on the quantum Hall state is fair.

11 pages of plain TeX, 1 postscript figure, accepted for publication in Physical Review B (rapid communications)

References in corpus (3)

• Skyrme Crystal In A Two-Dimensional Electron Gas
• Continuum quantum ferromagnets at finite temperature and the Quantum Hall effect
• Skyrmion Liquid in SU(2)-invariant Quantum Hall Systems

Cited by in corpus (2)

• Mechanism of unconventional superconductivity induced by skyrmion excitations in two-dimensional strongly-correlated electron systems
• Spin-Hall nano-oscillator with oblique magnetization and Dzyaloshinskii-Moriya interaction as generator of skyrmions and nonreciprocal spin-waves