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Finite-size corrections and scaling for the triangular lattice dimer model with periodic boundary conditions.

Authors
  • Izmailian, N Sh
  • Oganesyan, K B
  • Wu, Ming-Chya
  • Hu, Chin-Kun
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Jan 01, 2006
Volume
73
Issue
1 Pt 2
Pages
16128–16128
Identifiers
PMID: 16486237
Source
Medline
License
Unknown

Abstract

We analyze the partition function of the dimer model on M x N 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.

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