Finite-size corrections and scaling for the triangular lattice dimer model with periodic boundary conditions
- 24 January 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 73 (1), 016128
- https://doi.org/10.1103/physreve.73.016128
Abstract
We analyze the partition function of the dimer model on triangular lattice wrapped on the torus obtained by Fendley, Moessner, and Sondhi [Phys. Rev. B 66, 214513, (2002)]. Based on such an expression, we then extend the algorithm of Ivashkevich, Izmailian, and Hu [J. Phys. A 35, 5543 (2002)] to derive the exact asymptotic expansion of the first and second derivatives of the logarithm of the partition function at the critical point and find that the aspect-ratio dependence of finite-size corrections and the finite-size scaling functions are sensitive to the parity of the number of lattice sites along the lattice axis.
Keywords
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