Applications of the transfer integral techniques to two-dimensional lattices

R.A. Guyer, P. Serra, C.A. Condat and C.E. Budde

Physica A: Statistical Mechanics and its Applications, 1986, vol. 136, issue 2, 370-392

Abstract: The transfer integral formalism is used to study the statistical mechanical properties of a two-component field defined on a two-dimensional lattice. This field, taken to have anisotropic elasticity, is subject to both a nonlinear local potential and an external field. The free energy and magnetization are calculated using an approximate solution of the transfer integral problem. This solution employs a strong-coupling approximation to the transfer integral equation and a variational principle with correlated Gaussian trial functions. As a special case, the ø4 model for a structural phase transition, in the absence of an applied field, is analyzed; a phase diagram consistent with previous calculations is obtained. The phase diagram for a two-component field, with anisotropic elasticity, a ø4 local potential, and an external field, is also considered.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:136:y:1986:i:2:p:370-392

DOI: 10.1016/0378-4371(86)90257-8

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