npsm 새물리 New Physics : Sae Mulli

pISSN 0374-4914 eISSN 2289-0041
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Article

Research Paper

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.

Study of the Critical Behavior of the Ising Model on a Kagomé Lattice

Seung-Yeon KIM1, Wooseop KWAK*2

1 School of Liberal Arts and Sciences, Korea National University of Transportation, Chungju 27469, Korea
2 Department of Physics, Chosun University, Gwangju 61452, Korea

Correspondence to:wkwak@chosun.ac.kr

Received: March 21, 2018; Revised: April 24, 2018; Accepted: May 7, 2018

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.

Abstract

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

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