Wang-Landau study of the triangular Blume-Capel ferromagnet

Abstract

We report on numerical simulations of the two-dimensional Blume-Capel ferromagnet embedded in the triangular lattice. The model is studied in both its first- and second-order phase transition regime for several values of the crystal field via a sophisticated two-stage numerical strategy using the Wang-Landau algorithm. Using classical finite-size scaling techniques we estimate with high accuracy phase-transition temperatures, thermal, and magnetic critical exponents and we give an approximation of the phase diagram of the model.

8 pages, 14 figures, to be published in Eur. Phys. J. B

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Cited by in corpus (13)

• Scaling and universality in the phase diagram of the 2D Blume-Capel model
• Parallel multicanonical study of the three-dimensional Blume-Capel model
• Critical and tricritical singularities from small-scale Monte Carlo simulations: The Blume-Capel model in two dimensions
• Phase transitions in a triangular Blume-Capel antiferromagnet
• First-order transitions and thermodynamic properties in the 2D Blume-Capel model: the transfer-matrix method revisited
• Spin dependence of the tricritical point in the mixed-spin Blume-Capel model on three-dimensional lattices: Metropolis and Wang-Landau sampling approaches
• Monte Carlo studies of the Blume-Capel model on nonregular two- and three-dimensional lattices: Phase diagrams, tricriticality, and critical exponents
• Tricriticality and finite-size scaling in the triangular Blume-Capel ferromagnet
• An entropic simulational study of the spin-$1$ Baxter-Wu model in a crystal field
• The tricritical Ising CFT and conformal bootstrap
• Transfer-matrix approach to the Blume-Capel model on the triangular lattice
• Phase transition properties via partition function zeros: The Blume-Capel ferromagnet revisited
• Massive-Scale Simulations of 2D Ising and Blume-Capel Models on Rack-Scale Multi-GPU Systems