title: First-order phase transition and tricritical scaling behavior of the Blume-Capel model: A Wang-Landau sampling approach.
abstract: We investigate the tricritical scaling behavior of the two-dimensional spin-1 Blume-Capel model by using the Wang-Landau method of measuring the joint density of states for lattice sizes up to 48×48 sites. We find that the specific heat deep in the first-order area of the phase diagram exhibits a double-peak structure of the Schottky-like anomaly appearing with the transition peak. The first-order transition curve is systematically determined by employing the method of field mixing in conjunction with finite-size scaling, showing a significant deviation from the previous data points. At the tricritical point, we characterize the tricritical exponents through finite-size-scaling analysis including the phenomenological finite-size scaling with thermodynamic variables. Our estimation of the tricritical eigenvalue exponents, yt=1.804(5), yg=0.80(1), and yh=1.925(3), provides the first Wang-Landau verification of the conjectured exact values, demonstrating the effectiveness of the density-of-states-based approach in finite-size scaling study of multicritical phenomena.
authors.affiliation: Department of Physics, Chosun University, Gwangju 61452, Korea.
authors.forename: Wooseop
authors.initials: W
authors.lastname: Kwak
authors.affiliation: Department of Physics and Photon Science, School of Physics and Chemistry, Gwangju Institute of Science and Technology, Gwangju 61005, Korea.
authors.forename: Joohyeok
authors.initials: J
authors.lastname: Jeong
authors.affiliation: Department of Physics and Photon Science, School of Physics and Chemistry, Gwangju Institute of Science and Technology, Gwangju 61005, Korea.
authors.forename: Juhee
authors.initials: J
authors.lastname: Lee
authors.affiliation: Department of Physics and Photon Science, School of Physics and Chemistry, Gwangju Institute of Science and Technology, Gwangju 61005, Korea.
authors.forename: Dong-Hee
authors.initials: DH
authors.lastname: Kim