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Bibliographic Details
Main Author: Chatelain, Christophe
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.14830
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author Chatelain, Christophe
author_facet Chatelain, Christophe
contents The critical behavior of a dimer model with an interaction favoring parallel dimers in each plaquette of the square lattice is studied numerically by means of the Corner Transfer Matrix Renormalization Group algorithm. The critical exponents are known to depend on the chemical potential of vacancies, or monomers. At large average density of the latter, the phase transition becomes of first-order. We compute the scaling dimensions of both order parameter and temperature in the second order regime and compare them with the conjecture that the critical behavior is the same as the Ashkin-Teller model on its self-dual critical line.
format Preprint
id arxiv_https___arxiv_org_abs_2401_14830
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle CTMRG study of the critical behavior of an interacting-dimer model
Chatelain, Christophe
Statistical Mechanics
The critical behavior of a dimer model with an interaction favoring parallel dimers in each plaquette of the square lattice is studied numerically by means of the Corner Transfer Matrix Renormalization Group algorithm. The critical exponents are known to depend on the chemical potential of vacancies, or monomers. At large average density of the latter, the phase transition becomes of first-order. We compute the scaling dimensions of both order parameter and temperature in the second order regime and compare them with the conjecture that the critical behavior is the same as the Ashkin-Teller model on its self-dual critical line.
title CTMRG study of the critical behavior of an interacting-dimer model
topic Statistical Mechanics
url https://arxiv.org/abs/2401.14830