Abstract
Isotropic non-Heisenberg biquadratic exchange coupling between localized spins in a quasi-one-dimensional magnetic material is expected either as a result of orbitally unquenched magnetic ions or from bilinear exchange interactions modulated, to first order, by a distorted lattice. The classical spin chain with both bilinear and biquadratic exchange along with single ion anisotropy and external magnetic field has been solved using the transfer matrix method. The thermodynamic properties and the correlation functions are obtained. The results for the specific heat are presented at finite but low temperature as a function of the external magnetic field. A two peak behaviour is predicted and is found in different regions of the phase diagram.
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