Field behavior of an Ising model with competing interactions on the Bethe lattice

1995 ◽  
Vol 52 (3) ◽  
pp. 2187-2197 ◽  
Author(s):  
Marcelo H. R. Tragtenberg ◽  
Carlos S. O. Yokoi
Keyword(s):  
Ising Model ◽  
Bethe Lattice ◽  
Competing Interactions ◽  
Field Behavior

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

Ising Model on the Bethe Lattice with Competing Interactions

1978 ◽  
Vol 44 (6) ◽  
pp. 1768-1773 ◽  
Author(s):  
Shunichi Muto ◽  
Takehiko Oguchi
Keyword(s):  
Ising Model ◽  
Bethe Lattice ◽  
Competing Interactions

Annealed Ising model with competing interactions on a bethe lattice

1996 ◽  
Vol 193 (2) ◽  
pp. 445-456 ◽  
Author(s):  
A. A. Haroni ◽  
C. E. Paraskevaidis
Keyword(s):  
Ising Model ◽  
Bethe Lattice ◽  
Competing Interactions

scholarly journals Low-temperature antiferromagnetism of Ising model with competing interactions

2021 ◽  
pp. 64-71
Author(s):  
Kirill Tsiberkin ◽  
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Shift ◽  
Second Order ◽  
Square Lattice ◽  
Antiferromagnetic Coupling ◽  
Competing Interactions ◽  
Saturation State ◽  
Spin Configuration ◽  
Competing Interaction

The paper presents a numerical analysis of equilibrium state and spin configuration of square lattice Ising model with competing interaction. The most detailed description is given for case of ferromagnetic interaction of the first-order neighbours and antiferromagnetic coupling of the second-order neighbours. The numerical method is based on Metropolis algorithm. It uses 128×128 lattice with periodic boundary conditions. At first, the simulation results show that the system is in saturation state at low temperatures, and it turns into paramagnetic state at the Curie point. The competing second-order interaction makes possible the domain structure realization. This state is metastable, because its energy is higher than saturation energy. The domains are small at low temperature, and their size increases when temperature is growing until the single domain occupies the whole simulation area. In addition, the antiferromagnetic coupling of the second-order neighbours reduces the Curie temperature of the system. If it is large enough, the lattice has no saturation state. It turns directly from the domain state into paramagnetic phase. There are no extra phases when the system is antiferromagnetic in main order, and only the Neel temperature shift realizes here.

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