Boundary monomers in the dimer model

Priezzhev, Vyatcheslav B.;Ruelle, Philippe
(2008) Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) — Vol. E77, p. 61126 (2008)

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Abstract
The correlation functions of an arbitrary number of boundary monomers in the system of close-packed dimers on the square lattice are computed exactly in the scaling limit. The equivalence of the 2n-point correlation functions with those of a complex free fermion is proved, thereby reinforcing the description of the monomer-dimer model by a conformal free field theory with central charge c=1. Comment: 15 pages, 2 figures
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Priezzhev, V. B., & Ruelle, P. (2008). Boundary monomers in the dimer model. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), E77, 61126. https://doi.org/10.1103/PhysRevE.77.061126 (Original work published 2008)