Magnetic Properties of the Skyrmion Gas in Two Dimensions

Details Magnetic Properties of the Skyrmion Gas in Two Dimensions Magnetic Properties of the Skyrmion Gas in Two Dimensions

1996-07-25

arxiv.org/abs/cond-mat/9607183v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.54.R8345

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.

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