The exact phase diagrams of spin-1 Ising model on a two-layer Bethe lattice

2007 ◽  
Vol 373 ◽  
pp. 363-375 ◽  
Author(s):  
Erhan Albayrak ◽  
Osman Canko
Keyword(s):  
Ising Model ◽  
Phase Diagrams ◽  
Bethe Lattice

scholarly journals Exact phase diagrams for an Ising model on a two-layer Bethe lattice

1999 ◽  
Vol 59 (6) ◽  
pp. 6489-6496 ◽  
Author(s):  
Chin-Kun Hu ◽  
N. Sh. Izmailian ◽  
K. B. Oganesyan
Keyword(s):  
Ising Model ◽  
Phase Diagrams ◽  
Bethe Lattice

scholarly journals Mixed spin-1/2 and spin-1 Ising model with uniaxial and biaxial single-ion anisotropy on the Bethe lattice

Open Physics ◽  
2009 ◽  
Vol 7 (3) ◽  
Author(s):  
Cesur Ekiz ◽  
Jozef Strečka ◽  
Michal Jaščur
Keyword(s):  
Magnetic Properties ◽  
Ising Model ◽  
Phase Diagrams ◽  
Bethe Lattice ◽  
Magnetic Behavior ◽  
Recursion Relations ◽  
Mixed Spin

AbstractThe mixed spin-1/2 and spin-1 Ising model on the Bethe lattice with both uniaxial as well as biaxial single-ion anisotropy terms is solved exactly by combining star-triangle and triangle-star mapping transformations with exact recursion relations. Magnetic properties (magnetization, phase diagrams, and compensation phenomenon) are investigated in detail. Particular attention is focused on the effect of uniaxial and biaxial single-ion anisotropies that basically influence the magnetic behavior of the spin-1 atoms.

SPIN ONE ISING MODEL WITH COMPETING INTERACTIONS ON THE BETHE LATTICE

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1031-C8-1032
Author(s):  
S. Coutinho ◽  
C. R. da Silva
Keyword(s):  
Ising Model ◽  
Bethe Lattice ◽  
Competing Interactions

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.

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