Characteristics of 2D lattice models from fermionic realization: Ising and $XYZ$ models

Details Characteristics of 2D lattice models from fermionic realization: Ising and $XYZ$ models Characteristics of 2D lattice models from fermionic realization: Ising and $XYZ$ models

2007-12-03

arxiv.org/abs/0712.0273v2

Phy. Rev. B 80, 125128 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, RevTex, 2 figures, extended the appraoch to the XYZ model, the published version

Scientific paper

10.1103/PhysRevB.80.125128

We develop a field theoretical approach to the classical two-dimensional 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.

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