Open AccessPhase diagram of the dodecahedron spin model on square lattice with diluted bonds
Author(s) -
S. Yunita,
R. Rahmat,
Tasrief Surungan
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2207/1/012015
Subject(s) - dodecahedron , phase diagram , square lattice , ferromagnetism , condensed matter physics , dilution , monte carlo method , lattice (music) , materials science , phase (matter) , chemistry , physics , thermodynamics , crystallography , quantum mechanics , mathematics , ising model , statistics , acoustics
We study the effect of bond dilution of a dodecahedron spin model on ferromagnetic square lattice. The dodecahedron spin constitutes a discrete (polyhedral) counterpart of the continuous Heisenberg spin. Previous work found that, in the absence of dilution, the ferromagnetic dodecahedron system exhibits a finite temperature phase transition. We use Monte Carlo simulation with Wolff cluster algorithm to monitor how phase transitions are impacted by the bond dilution. We simulate the model with various bond concentrations and investigate the resulting phase diagram and critical behavior.