CTMRG study of the critical behavior of an interacting-dimer model

Abstract

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.

References in corpus (23)

• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Corner Transfer Matrix Renormalization Group Method
• Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction
• Density Matrix Renormalization Group Method for 2D Classical Models
• Corner Transfer Matrix Algorithm for Classical Renormalization Group
• Interacting classical dimers on the square lattice
• Classical dimers with aligning interactions on the square lattice
• Phase diagram of an extended classical dimer model
• Columnar order and Ashkin-Teller criticality in mixtures of hard-squares and dimers
• Corner Transfer Matrix Renormalization Group Method Applied to the Ising Model on the Hyperbolic Plane
• Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method
• Finite-$m$ scaling analysis of Berezinskii-Kosterlitz-Thouless phase transitions and entanglement spectrum for the six-state clock model
• Phase transition of clock models on hyperbolic lattice studied by corner transfer matrix renormalization group method
• Commensurate-incommensurate transition in the chiral Ashkin-Teller model
• Phase transition of the six-state clock model observed from the entanglement entropy
• Absence of logarithmic divergence of the entanglement entropies at the phase transitions of a 2D classical hard rod model
• Classical dimer model with anisotropic interactions on the square lattice
• Entanglement-entropy study of phase transitions in six-state clock model
• Tensor renormalization group approach to classical dimer models
• Critical Point of a Symmetric Vertex Model
• Ashkin-Teller phase transition and multicritical behavior in a classical monomer-dimer model
• Kosterlitz-Thouless transitions and phase diagrams of the interacting monomer-dimer model on a checkerboard lattice
• Tensor network investigation of the hard-square model