The Critical Behaviour of the Spin-3/2 Blume-Capel Model in Two Dimensions

Abstract

The phase diagram of the spin-3/2 Blume-Capel model in two dimensions is explored by conventional finite-size scaling, conformal invariance and Monte Carlo simulations. The model in its $\tau$-continuum Hamiltonian version is also considered and compared with others spin-3/2 quantum chains. Our results indicate that differently from the standard spin-1 Blume-Capel model there is no multicritical point along the order-disorder transition line. This is in qualitative agreement with mean field prediction but in disagreement with previous approximate renormalization group calculations. We also presented new results for the spin-1 Blume-Capel model.

latex 18 pages, 4 figures

References in corpus (2)

• Tricritical universality in a two-dimensional spin fluid
• THE SPIN-S BLUME-CAPEL RG FLOW DIAGRAM

Cited by in corpus (50)

• Discovering Phases, Phase Transitions and Crossovers through Unsupervised Machine Learning: A critical examination
• Multicritical Points and Crossover Mediating the Strong Violation of Universality: Wang-Landau Determinations in the Random-Bond $d=2$ Blume-Capel model
• Strong Violation of Critical Phenomena Universality: Wang-Landau Study of the 2d Blume-Capel Model under Bond Randomness
• First-order phase transition and tricritical scaling behavior of the Blume-Capel model: a Wang-Landau sampling approach
• Scaling and universality in the phase diagram of the 2D Blume-Capel model
• Universality and scaling study of the critical behavior of the two-dimensional Blume-Capel model in short-time dynamics
• Cluster Hybrid Monte Carlo Simulation Algorithms
• Parallel multicanonical study of the three-dimensional Blume-Capel model
• The Blume-Capel model for spins S=1 and 3/2 in dimensions d=2 and 3
• Entanglement Entropy, Conformal Invariance and the Critical Behavior of the Anisotropic Spin-S Heisenberg Chains: A DMRG study
• Precise Determination of Quantum Critical Points by the Violation of the Entropic Area Law
• Charge orderings in the atomic limit of the extended Hubbard model
• Wang-Landau study of the triangular Blume-Capel ferromagnet
• 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
• Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models
• Phase Diagram of the $J_1$ - $J_2$ Frustrated Anisotropic Antiferromagnet with Spin $S=1$ on the Quadratic Lattice
• Blume-Capel model on directed and undirected Small-World Voronoi-Delaunay random lattices
• Blume-Capel ferromagnet driven by propagating and standing magnetic field wave: Dynamical modes and nonequilibrium phase transition
• Exact solution of the one-dimensional spin-$\frac{3}{2}$ Ising model in magnetic field
• Monte Carlo studies of the Blume-Capel model on nonregular two- and three-dimensional lattices: Phase diagrams, tricriticality, and critical exponents
• Phase diagrams of spin-3/2 Blume-Capel model on rectangular lattice under longitudinal magnetic field
• On the hysteresis behaviors of the higher spin Ising model
• Dynamic phase diagrams of the Blume-Capel model in an oscillating field by the path probability method
• Phase Diagram and Critical Behavior of the Spin-1 Baxter-Wu Model with a Crystal Field
• Alternative description of the 2D Blume-Capel model using Grassmann algebra
• Role of anisotropy to the compensation in the Blume-Capel trilayered ferrimagnet
• Monte Carlo Study of an Inhomogeneous Blume-Capel Model
• Finite-size scaling behavior in trapped systems
• Tricriticality and finite-size scaling in the triangular Blume-Capel ferromagnet
• Stepwise Positional-Orientational Order and the Multicritical-Multistructural Global Phase Diagram of the s=3/2 Ising Model from Renormalization-Group Theory
• Quantum Spin-$1$ Anisotropic Ferromagnetic Heisenberg Model in a Crystal Field: A Variational Approach
• Influence of transverse field on the spin-3/2 Blume-Capel model on rectangular lattice
• The tricritical Ising CFT and conformal bootstrap
• Multiphase structure of finite-temperature phase diagram of the Blume-Capel model. Wang-Landau sampling method
• Universal energy and magnetisation distributions in the Blume-Capel and Baxter-Wu models
• Determination of the Critical Manifold Tangent Space and Curvature with Monte Carlo Renormalization Group
• Correlations equalities and some upper bounds for the critical temperature for spin one systems
• Blume-Capel model analysis with microcanonical population annealing method
• Transfer-matrix approach to the Blume-Capel model on the triangular lattice
• Transition temperature scaling in weakly coupled two-dimensional Ising models
• Nonequilibrium phase transition in spin-S Ising ferromagnet driven by Propagating and Standing magnetic field wave
• The tensor renormalization group study of the general spin-S Blume-Capel model
• Critical behaviour of the Ising S=1/2 and S=1 model on (3,4,6,4) and (3,3,3,3,6) Archimedean lattices
• Extension of the constant exchange probability method to multi-dimensional replica exchange Monte Carlo applied to the tri-critical spin-1 Blume-Capel model
• Second-order critical lines of spin-S Ising models in a splitting field with Grassmann techniques
• Spin-$S$ Ising models with multispin interactions on the one-dimensional chain and two-dimensional square lattice
• Phase transition properties via partition function zeros: The Blume-Capel ferromagnet revisited
• Phase diagram and critical properties of a two-dimensional associating lattice gas
• Universality in the two-dimensional dilute Baxter-Wu model