Phase transitions in the Ising model on a triangular lattice with different values of interlayer exchange interaction

2019 ◽  
Vol 45 (12) ◽  
pp. 1263-1266
Author(s):  
A. K. Murtazaev ◽  
M. K. Ramazanov ◽  
M. K. Badiev
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Exchange Interaction ◽  
Triangular Lattice ◽  
Interlayer Exchange

Triple mixed-spin Ising model

2020 ◽  
Vol 34 (13) ◽  
pp. 2050129
Author(s):  
Erhan Albayrak
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Magnetic Fields ◽  
Exchange Interaction ◽  
Spin System ◽  
Bethe Lattice ◽  
Nearest Neighbors ◽  
Recursion Relations ◽  
Mixed Spin ◽  
Exchange Interaction Parameter

The A, B and C atoms with spin-1/2, spin-3/2 and spin-5/2 are joined together sequentially on the Bethe lattice in the form of ABCABC[Formula: see text] to simulate a molecule as a triple mixed-spin system. The spins are assumed to be interacting with only their nearest-neighbors via bilinear exchange interaction parameter in addition to crystal and external magnetic fields. The order-parameters are obtained in terms of exact recursion relations, then from the study of their thermal variations, the phase diagrams are calculated on the possible planes of our system. It is found that the model gives only second-order phase transitions in addition to the compensation temperatures.

Phase transitions in the Ising model on a layered triangular lattice in a magnetic field

2020 ◽  
Vol 555 ◽  
pp. 124530
Author(s):  
A.K. Murtazaev ◽  
M.K. Badiev ◽  
M.K. Ramazanov ◽  
M.A. Magomedov
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Ising Model ◽  
Triangular Lattice

scholarly journals Phase transitions in the Ising model on a layered triangular lattice with next-nearest-neighbor interaction

2018 ◽  
Vol 33 (2) ◽  
pp. 45-50
Author(s):  
A.K. Murtazayev ◽  
◽  
M.K. Ramazanov ◽  
M.K. Badiyev ◽  
K.Sh. Murtazayev ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Triangular Lattice ◽  
Nearest Neighbor ◽  
Neighbor Interaction

Phase Transitions in the Binary Alloys with Annealed Magnetic Impurities

2013 ◽  
Vol 328 ◽  
pp. 789-793 ◽  
Author(s):  
V.I. Belokon ◽  
K.V. Nefedev ◽  
O.I. Dyachenko
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Curie Temperature ◽  
Exchange Interaction ◽  
Thermodynamic Equilibrium ◽  
Critical Concentration ◽  
Background Field ◽  
Magnetic Impurities ◽  
Method Of Averaging ◽  
High Concentrations

In this paper we study within the Ising model a ferromagnet with annealed impurities in thermodynamic equilibrium with the lattice by the method of averaging over the exchange-interaction fields. We show that diffusion can significantly reduce the average critical concentration of "ferromagnetic" atoms and increase the Curie temperature. Also diffusion leads to the appearance of regions with high concentrations of ferromagnetic atoms on a background field with their low content.

RIGOROUS RESULTS ON THE ANISOTROPIC TRIANGULAR ISING MODEL

1991 ◽  
Vol 05 (12) ◽  
pp. 2125-2132 ◽  
Author(s):  
K. Y. LIN ◽  
F. Y. WU
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Ising Model ◽  
External Magnetic Field ◽  
Parameter Space ◽  
Triangular Lattice ◽  
Rigorous Results ◽  
Pair Interactions

We consider the Ising model on the triangular lattice with anisotropic pair interactions, staggered triplet interactions, and an external magnetic field. Using the Yang-Lee zero consideration and a star-triangle transformation which eliminates the triplet interactions, we obtain regimes in the parameter space which are free of phase transitions.

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