Noise-driven nonlinear sigma model

M. Malard Sales, A.S.T. Pires, Ronald Dickman and M.C. Nemes

Physica A: Statistical Mechanics and its Applications, 2006, vol. 370, issue 2, 601-612

Abstract: We present a noise-driven model for obtaining the gap and line-width as functions of the temperature in the nonlinear sigma model. The method is phenomenological and rests on the following physical idea: a classical external stochastic field is introduced representing the coupling of the sigma field with a noise source. Moreover, we assume that the inelastic scattering length is much longer than the elastic one, justifying the neglect of dissipation for temperatures such that the nonlinear sigma model is a good approximation for antiferromagnetic spin chains. This phenomenological approach is justified by comparison with other theoretical predictions and with experiment.

Keywords: Nonlinear sigma model; Integer-spin chains; White noise; Temperature-dependent gap; Temperature-dependent line width (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:370:y:2006:i:2:p:601-612

DOI: 10.1016/j.physa.2006.03.012

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