Critical Properties of the Two-Dimensional Villain Model with Ferromagnetic Impurities

• 作者: Md. Yeakub Ali
• 来源期刊: 力学国际期刊(英文)
• 学科: 数学
• 关键词: VILLAIN ENTROPY CRITICAL Point SQUARE LATTICE
• 年，卷（期）: lxgjqkyw_2017,（6）
• 页码范围: 167-175
• 页数: 9页
• 分类号: O1

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.