Jordan-Wigner fermionization for spin-1/2 systems in two dimensions: A brief review

Physics – Condensed Matter

Scientific paper

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19 pages, 10 figures included

Scientific paper

We review the papers on the Jordan-Wigner transformation in two dimensions to
comment on a possibility of examining the statistical mechanics properties of
two-dimensional spin-1/2 models. We discuss in some detail the two-dimensional
spin-1/2 isotropic XY and Heisenberg models.

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