Characteristics of 2D lattice models from fermionic realization: Ising and $XYZ$ models
Strongly Correlated Electrons
2013-07-22 v2 Statistical Mechanics
Abstract
We develop a field theoretical approach to the classical two-dimensional models, particularly to 2D Ising model (2DIM) and model, which is simple to apply for calculation of various correlation functions. We calculate the partition function of 2DIM and model within the developed framework. Determinant representation of spin-spin correlation functions is derived using fermionic realization for the Boltzmann weights. The approach also allows formulation of the partition function of 2DIM in the presence of an external magnetic field.
Cite
@article{arxiv.0712.0273,
title = {Characteristics of 2D lattice models from fermionic realization: Ising and $XYZ$ models},
author = {Sh. A. Khachatryan and A. G. Sedrakyan},
journal= {arXiv preprint arXiv:0712.0273},
year = {2013}
}
Comments
18 pages, RevTex, 2 figures, extended the appraoch to the XYZ model, the published version