### Abstract

We analyze the partition function of the dimer model on an M×N triangular lattice wrapped on a torus obtained by Fendley, Moessner, and Sondhi [Phys. Rev. B 66, 214513 (2002)]. From a finite-size analysis we have found that the dimer model on such a lattice can be described by a conformal field theory having a central charge c=−2. The shift exponent for the specific heat is found to depend on the parity of the number of lattice sites N along a given lattice axis: e.g., for odd N we obtain the shift exponent λ=1, while for even N it is infinite (λ=∞). In the former case, therefore, the finite-size specific-heat pseudocritical point is size dependent, while in the latter case it coincides with the critical point of the thermodynamic limit.

Original language | English |
---|---|

Article number | 021107 |

Journal | Physical Review E |

Volume | 84 |

DOIs | |

Publication status | Published - 4 Aug 2011 |

## Fingerprint Dive into the research topics of 'Dimer model on a triangular lattice'. Together they form a unique fingerprint.

## Cite this

Izmailian, N., & Kenna, R. (2011). Dimer model on a triangular lattice.

*Physical Review E*,*84*, [021107]. https://doi.org/10.1103/PhysRevE.84.021107