Yang–Baxter solution of dimers as a free-fermion six-vertex model

  title={Yang–Baxter solution of dimers as a free-fermion six-vertex model},
  author={Paul A Pearce and Alessandra Vittorini-Orgeas},
  journal={Journal of Physics A: Mathematical and Theoretical},
It is shown that Dimers is Yang–Baxter integrable as a six-vertex model at the free-fermion point with crossing parameter λ=π2. A one-to-many mapping of vertices onto dimer configurations allows the free-fermion solutions to be applied to the anisotropic dimer model on a square lattice where the dimers are rotated by 45∘ compared to their usual orientation. This dimer model is exactly solvable in geometries of arbitrary finite size. In this paper, we establish and solve inversion identities for… 

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