Characteristics of two-dimensional lattice models from a fermionic realization: Ising and XYZ models
Year: 2009
Type: article
Abstract: We develop a field theoretical approach to the classical two-dimensional (2D) models, particularly to 2D Ising model (2DIM) and $XYZ$ model, which is simple to apply for calculation of various correlation functions. We calculate the partition function of 2DIM and $XY$ 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.
Source: Physical Review B
Authors: Sh. Khachatryan, A. Sedrakyan
Institution: A. Alikhanyan National Laboratory
Language: Latvian
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2086779893