Wang-Landau study of the triangular Blume-Capel ferromagnet

TL;DR

This study uses advanced numerical simulations to analyze the phase transitions and critical behavior of the two-dimensional triangular Blume-Capel ferromagnet, providing detailed phase diagram estimates.

Contribution

It introduces a two-stage Wang-Landau simulation approach to accurately determine phase transition properties of the model.

Findings

Precise estimates of phase transition temperatures

Critical exponents for thermal and magnetic transitions

Approximate phase diagram of the model

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.