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We present a scheme for the construction of quantum states of vortex liketopological excitations corresponding to spin- 1/2 strongly XY anisotropicnearest neighbor Heisenberg Ferromagnet on two dimensional lattice. Theprocedure involving Pauli spin basis states is carried out corresponding toboth infinite dilute limit and finite density limit of vortex/anti-vortex. Itis found that the corresponding quantum mechanical states representing charge 1quantum vortices/ anti-vortices can be expressed as linear combinations ofsingle magnon states, composite multi-magnon states and the ground state.Detailed calculations show that these states are quantum mechanically stablestates of the Hamiltonian only when the system size exceeds certain thresholdvalue. Our analysis indicates that the interactions between different magnonmodes can very well generate these topological excitations. Possibleapplications of our calculations to real magnetic systems are also discussed.Magnetic measurements probing spin dynamics may be undertaken to verify theexistence of the threshold size for the stability of vortices.

international journal of modern physics b/international journal of modern physics b

The connection between vortex-like topological excitations and  conventional excitations in quantum ferromagnetic spin systems on two  dimensional lattice and their stability