Two-Dimensional Ising Model as a Soluble Problem of Many Fermions

  title={Two-Dimensional Ising Model as a Soluble Problem of Many Fermions},
  author={T. D. Schultz and Daniel Charles Mattis and Elliott H. Lieb},
  journal={Reviews of Modern Physics},
The two-dimensional Ising model for a system of interacting spins (or for the ordering of an AB alloy) on a square lattice is one of the very few nontrivial many-body problems that is exactly soluble and shows a phase transition. Although the exact solution in the absence of an external magnetic field was first given almost twenty years ago in a famous paper by Onsager1 using the theory of Lie algebras, the flow of papers on both approximate and exact methods has remained strong to this day.2… 
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