English

Topological excitations in 2D spin system with high spin $s>= 1$

Mesoscale and Nanoscale Physics 2010-01-05 v1 Statistical Mechanics

Abstract

We construct a class of topological excitations of a mean field in a two-dimensional spin system represented by a quantum Heisenberg model with high powers of exchange interaction. The quantum model is associated with a classical one (the continuous classical analogue) that is based on a Landau-Lifshitz like equation, and describes large-scale fluctuations of the mean field. On the other hand, the classical model is a Hamiltonian system on a coadjoint orbit of the unitary group SU(2s+12s {+} 1) in the case of spin ss. We have found a class of mean field configurations that can be interpreted as topological excitations, because they have fixed topological charges. Such excitations change their shapes and grow preserving an energy.

Keywords

Cite

@article{arxiv.1001.0375,
  title  = {Topological excitations in 2D spin system with high spin $s>= 1$},
  author = {Julia Bernatska and Petro Holod},
  journal= {arXiv preprint arXiv:1001.0375},
  year   = {2010}
}

Comments

10 pages, 1 figure

R2 v1 2026-06-21T14:30:22.654Z