Possible Existence Of Topological Excitations In Quantum Spin Models In Low Dimensions

Abstract

The possibility of existence of topological excitations in the anisotropic quantum Heisenberg model in one and two spatial dimensions is studied using coherent state method. It is found that a part of the Wess-Zumino term contributes to the partition function, as a topological term for ferromagnets in the long wavelength limit in both one and two dimensions. In particular, the XY limit of the two-dimensional anisotropic ferromagnet is shown to retain the topological excitations, as expected from the quantum Kosterlitz-Thouless scenario.

6 pages, Latex

Cited by in corpus (5)

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• Theoretical analysis of neutron scattering results for quasi-two dimensional ferromagnets
• Physical realization and possible identification of topological excitations in quantum Heisenberg anti-ferromagnet on a two dimensional lattice
• The connection between vortex-like topological excitations and conventional excitations in quantum ferromagnetic spin systems on two dimensional lattice and their stability
• Semi-phenomenological analysis of neutron scattering results for quasi-two dimensional quantum anti-ferromagnet