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Physical review. B, Condensed matter

Statistical mechanics of the classical easy-plane Dzialoshinski-Moriya chain in an external field

Craig E. Zaspel

Published Feb 1, 1985• 3 citations
Publisher

Abstract

The transfer-matrix formalism is used to determine the effect of an external field on the free energy per spin, susceptibility, and specific heat of a Dzialoshinski-Moriya chain. The results are similar to antiferromagnetic xy chains in a transverse field.
DOI
10.1103/physrevb.31.1621

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Quantum statistical mechanics is developed for an easy-plane ferromagnetic chain under an in-plane magnetic field. A pair product approximation is made for the density matrix. A transfer integral expression for the partition function is formulated by the use of the coherent state of spin. Specific heat is computed as a function of temperature and magnetic field for the case of strong single-ion anisotropy. From our qualitative study it is suggested that, beyond the sine-Gordon approximation, simultaneous consideration of the quantum effect and the instability against the off-plane fluctuation (the Kumar-Magyari-Thomas instability) is necessary to explain specific heat, in particular, and thermodynamic quantities, in general, of the present system.