Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979685 | Physica A: Statistical Mechanics and its Applications | 2006 | 12 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
M. Malard Sales, A.S.T. Pires, Ronald Dickman, M.C. Nemes,