Physical realization and possible identification of topological excitations in quantum Heisenberg ferromagnet on lattice

Details Physical realization and possible identification of topological excitations in quantum Heisenberg ferromagnet on lattice Physical realization and possible identification of topological excitations in quantum Heisenberg ferromagnet on lattice

2006-12-08

arxiv.org/abs/cond-mat/0612211v2

Physics

Condensed Matter

Statistical Mechanics

15 pages, 5 figures

Scientific paper

Physical configurations corresponding to topological excitations present in the XY limit of a quantum spin 1/2 Heisenberg ferromagnet, are investigated on a two dimensional square lattice. Quantum vortices(anti-vortices) are constructed in terms of terms of coherent spin field components and the crucial role of the associated Wess-Zumino term is highlighted. It is shown that this term can identify a large class of vortices(anti-vortices). In particular the excitations with odd topological charge belonging to this class, are found to exhibit a self-similar pattern regarding the internal charge distribution. Our formalism is distinctly different from the coventional approach for the construction of quantum vortices(anti-vortices).

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