Effect of discreteness on the continuum limit of the Heisenberg spin chain

Lakshmanan, M. ; Porsezian, K. ; Daniel, M. (1988) Effect of discreteness on the continuum limit of the Heisenberg spin chain Physics Letters A, 133 (9). pp. 483-488. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037596...

Related URL: http://dx.doi.org/10.1016/0375-9601(88)90520-8

Abstract

We discuss the effect of discreteness of the lattice on the classical continuum limit of the isotropic Heisenberg ferromagnetic spin chain, including biquadratic interaction, in the next order. We derive the equivalent higher order nonlinear Schrodinger equation by identifying the underlying geometry of the system and investigate its non-integrability nature. A multiple-scaling method is applied to obtain the perturbed soliton solution.

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