Two-dimensional Ising model with non-homogenous interactions

• Main Authors: Ganikhodjaev, Nasir, Ibrahim, Huda Husna
• Format: Conference or Workshop Item
• Language: English; English; English
• Published: American Institute of Physics 2017
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/52990/54/52990%20Two-dimensional%20Ising%20Model.pdf; http://irep.iium.edu.my/52990/48/52990_Two-dimensional%20Ising%20model%20with_Scopus.pdf; http://irep.iium.edu.my/52990/60/52990_Two-dimensional%20Ising%20model%20_wos.pdf; http://irep.iium.edu.my/52990/; https://aip.scitation.org/doi/abs/10.1063/1.4980984
• Institution: Universiti Islam Antarabangsa Malaysia

In this paper we investigate the Ising model on Z2 with competing interactions. In this model we consider J1 as horizontal interactions and J2 as vertical interactions where J1,J2 > 0. We prove that this model can reach a phase transition. Onsager considered the case where horizontal interaction...