Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 3 (2007), 001, 12 pages      cond-mat/0701075      https://doi.org/10.3842/SIGMA.2007.001
Contribution to the Proceedings of the O'Raifeartaigh Symposium

Non-Local Finite-Size Effects in the Dimer Model

Nickolay Sh. Izmailian a, b, c, Vyatcheslav B. Priezzhev d and Philippe Ruelle e
a) Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan
b) Yerevan Physics Institute, Alikhanian Brothers 2, 375036 Yerevan, Armenia
c) National Center of Theoretical Sciences at Taipei, Physics Division, National Taiwan University, Taipei 10617, Taiwan
d) Bogolyubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
e) Institut de Physique Théorique, Université catholique de Louvain, 1348 Louvain-La-Neuve, Belgium

Received September 29, 2006, in final form December 12, 2006; Published online January 04, 2007

Abstract
We study the finite-size corrections of the dimer model on ∞ × 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.

Key words: dimer model; finite-size corrections; conformal field theory.

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