Critical Properties of the Two-Dimensional Villain Model with Ferromagnetic Impurities
Critical Properties of the Two-Dimensional Villain Model with Ferromagnetic Impurities作者机构：Department of Mathematics Chittagong University of Engineering & Technology Chittagong Bangladesh
出 版 物：《World Journal of Mechanics》 (力学国际期刊（英文）)
年 卷 期：2017年第7卷第6期
页 面：167-175页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Villain Entropy Critical Point Square Lattice
摘 要：This work investigates the square lattice in the presence of an-ti-ferromagnetic exchange considering the two-dimensional Ising Villain model. A computational scheme is constructed to evaluate the degeneracy of ground states at zero temperature employing the Pfaffian method through perturbation theory. The entropy and canonical spin glass of the considered model are precisely obtained. The critical point between the Villain phase and canonical spin glass phase with the line fit of entropy at the thermodynamic limit is investigated. It is also shown that the transition point of the Villain model lies in the low concentration regime.
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