Classical one-dimensional Heisenberg model with an interaction of finite range

T. Morita and T. Horiguchi

Physica A: Statistical Mechanics and its Applications, 1975, vol. 83, issue 3, 519-532

Abstract: It is shown that the thermodynamic quantities and spin correlation functions of the classical Heisenberg model on a linear chain are expressed in terms of the eigenvalue with the smallest absolute value and the corresponding eigenfunction of a homogeneous linear integral equation, where the range of the interaction is assumed to be finite. The magnetization and susceptibility at nonzero external magnetic fields are given as a function of temperature, for the case of the nearest neighbour ferromagnetic and antiferromagnetic interaction. Efforts are paid to determine the properties near zero temperature.

Date: 1975
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:83:y:1975:i:3:p:519-532

DOI: 10.1016/0378-4371(75)90018-7

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