Non-Local Finite-Size Effects in the Dimer Model

Izmailian, Nickolay Sh.;Priezzhev, Vyatcheslav B.;Ruelle, Philippe
(2007) Symmetry Integrability And Geometry-methods And Applications — Vol. 3 (2007)

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  • Izmailian, Nickolay Sh.
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  • Priezzhev, Vyatcheslav B.
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  • Ruelle, Philippeorcid-logoUCLouvain
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Abstract
We study the finite-size corrections of the dimer model on infinity x N square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of N, and show that, because of certain non-local features present in the model, a change of parity of N induces a change of boundary condition. Taking a careful account of this, these unusual finite-size behaviours can be fully explained in the framework of the c = -2 logarithmic conformal field theory.
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Izmailian, N. Sh., Priezzhev, V. B., & Ruelle, P. (2007). Non-Local Finite-Size Effects in the Dimer Model. Symmetry Integrability And Geometry-methods And Applications, 3. https://hdl.handle.net/2078.5/59673 (Original work published 2007)