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

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...