Fermionization of a Generalized Two-Dimensional Ising Model

  • A. I. Bugrij
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)

Abstract

The generalized two-dimensional Ising model is a system of spins that interact with partners of two neighboring coordination spheres. In the case of a square lattice the density of the Hamiltonian h(σ R ) (the energy per plaquet) that satisfies the global Z 2-symmetry requirement includes not only pair interactions between first and second neighbors, but also four-spin interactions
$$h\left( {{\sigma _R}} \right) = - \sum\limits_{i < l} {{J_{il}}} \sigma _R^i\sigma _R^l - J\prod\limits_{i = 1}^4 {\sigma _R^i} ,i,l = 1, \ldots ,4.$$
(1)

Keywords

Bors Summing 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • A. I. Bugrij
    • 1
  1. 1.Institute for Theoretical PhysicsKievUSSR

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