Behaviors of Phase Diagrams of an Ising Model on a Cayley Tree-Like Lattice: Rectangular Chandelier

2010 ◽  
Author(s):  
Hasan Akin ◽  
Selman Uǧuz ◽  
Seyit Temir ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
...  
Keyword(s):  
Ising Model ◽  
Phase Diagrams ◽  
Cayley Tree

Ground states for the ising model with an external field on the Cayley tree

2018 ◽  
Vol 2018 (3) ◽  
pp. 147-155
Author(s):  
M.M. Rakhmatullaev ◽  
M.A. Rasulova
Keyword(s):  
Ising Model ◽  
External Field ◽  
Cayley Tree ◽  
Ground States

THE GROUND-STATE PHASE DIAGRAMS OF THE SPIN-2 ISING MODEL

2007 ◽  
Vol 21 (31) ◽  
pp. 5265-5274 ◽  
Author(s):  
AHMET ERDİNÇ
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
External Magnetic Field ◽  
Phase Diagrams ◽  
Crystal Field ◽  
Ground State ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Biquadratic Exchange ◽  
Model Hamiltonian

The ground-state phase diagrams are obtained for the spin-2 Ising model Hamiltonian with bilinear and biquadratic exchange interactions and a single-ion crystal field. The interactions are assumed to be only between nearest-neighbors. Obtained phase diagrams are presented in the (Δ,J), (K,J), (Δ/J,K/J), (Δ/|J|,K/|J|), (Δ/|K|,J/|K|), (H/J,Δ/J), (H/|J|,Δ/|J|), (H/J,K/J), and (H/|J|,K/|J|) planes where J, K, Δ, and H are the bilinear, biquadratic exchange interactions, the single-ion crystal field, and the external magnetic field, respectively. The influence of the external magnetic field on the spin configurations is investigated.

Ising model with competing interactions on a Cayley tree

1983 ◽  
Vol 33 (2) ◽  
pp. 419-436 ◽  
Author(s):  
Sakari Inawashiro ◽  
Colin J. Thompson ◽  
Goshi Honda
Keyword(s):  
Ising Model ◽  
Cayley Tree ◽  
Competing Interactions

Ising model on the Cayley tree of third order with inhomogeneous interactions

2018 ◽  
Author(s):  
Nasir Ganikhodjaev ◽  
Huda Husna Binti Ibrahim
Keyword(s):  
Ising Model ◽  
Cayley Tree ◽  
Third Order
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