Phase diagrams of an Ising system with competing binary, prolonged ternary and next-nearest interactions on a Cayley tree

• Main Authors: Ganikhodjaev, Nasir, Akin, Hasan, Uguz, Selman, Temir, Seyit
• Format: Article
• Language: English
• Published: Eudoxus Press, LLC 2011
• Subjects: QA Mathematics; QC Physics
• Online Access: http://irep.iium.edu.my/1688/1/Phase_diagrams_of_an_ising_system_with_competing_binary%2C_prolonged.pdf; http://irep.iium.edu.my/1688/; http://www.ccs2012.org/files/2010/ccs2010_4_JCAAM--VOL-9--2011--NO--1.pdf

In this paper we consider the Ising model with spin values in Φ = {−1, 1}, the relevant Hamiltonian with competing binary nearest-neighbor, prolonged ternary and prolonged next-nearest neighbors interactions has the form H(σ) = −Jp �� >x,y< σ(x)σ(y) − Jt >x�,¯y,z< σ(x)σ(y)σ(z)− J1 � &l...