Ex) Article Title, Author, Keywords
New Phys.: Sae Mulli 2018; 68: 552-556
Published online May 31, 2018 https://doi.org/10.3938/NPSM.68.552
Copyright © New Physics: Sae Mulli.
Seung-Yeon KIM1, Wooseop KWAK*2
This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We numerically investigate the second-order phase transition of the ferromagnetic Ising model on a two-dimensional kagomé lattice. The critical behavior of this model is studied using Wang-Landau entropic sampling, and the joint density of states is obtained as a function of the energy and the magnetization. The partition function, which is a function of temperature, is calculated using the joint density of states. Using the partition function, we found a critical point and a thermodynamic function, such as the specic heat and the magnetic susceptibility, at the critical point, and by using finite-size scaling, we obtained the critical exponents in the thermodynamic limit, with those exponents satisfiying the hyperscaling relations.
Keywords: Ising model, Joint density of states, Kagomé lattice, Wang-Landau entropic sampling