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.

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.

The quaternary alloy on the Bethe lattice

2018 ◽  
Vol 32 (21) ◽  
pp. 1850226 ◽  
Author(s):  
Erhan Albayrak
Keyword(s):  
Phase Diagrams ◽  
Coordination Number ◽  
Ternary Alloy ◽  
Interaction Parameter ◽  
Bethe Lattice ◽  
Quaternary Alloy ◽  
Spin Models ◽  
Recursion Relations ◽  
Mixed Spin ◽  
Random Approach

The quaternary alloy (QA) is simulated on the Bethe lattice (BL) in the form of ABpCqDr and its phase diagrams are calculated by using the exact recursion relations (ERR) for the coordination number z = 3. The QA is designed on the BL by placing A atoms (spin-1/2) on the odd shells and randomly placing B (spin-3/2), C (spin-5/2) or D (spin-1) atoms with probabilities p, q and r, respectively, on the even shells. A compact form of formulation for the QA is obtained in the standard-random approach which can easily be reduced to ternary alloy (TA) and mixed-spin models by the appropriate values of the random variables p, q and r. The phase diagrams are calculated on the temperature and ratio of bilinear interaction parameter planes for given values of probabilities.

The mixed spin-1/2 and spin-1 Ising system on a two-layer Bethe lattice

Open Physics ◽  
2013 ◽  
Vol 11 (11) ◽  
Author(s):  
Joël Kplé ◽  
Gabriel Avossevou ◽  
Félix Hontinfinde
Keyword(s):  
Phase Diagrams ◽  
Bethe Lattice ◽  
Model Parameters ◽  
Nearest Neighbour ◽  
Temperature Behaviour ◽  
Recursion Relations ◽  
Crystal Field Strength ◽  
Mixed Spin ◽  
System Configurations ◽  
Very Low Temperature

AbstractTwo layered magnetic Bethe lattice with varying coordination number q is introduced and numerically studied via exact recursion relations within a pairwise approach. The system is influenced by competing interlayer and intralayer nearest-neighbour (NN) coupling interactions and also by the crystal and external magnetic fields. Cases where both layers are ferromagnetic or one is ferro and the other antiferromagnetic are considered. System configurations’ energy calculations are used to devise some ground state phase diagrams that have proven useful for the investigation of the very low temperature behaviour of the model. Analysis of the thermal behaviours of the total magnetization within the model parameters’ space yield interesting phase diagrams which display fascinating properties, in particular the presence of tricritical points. Increasing negative values of the crystal field strength stabilizes the disordered paramagnetic phase and sometimes gives rise to wavy transition lines.

Phase diagrams of the random nearest-neighbor mixed spin-1/2 and spin-3/2 Blume–Capel model

2018 ◽  
Vol 32 (27) ◽  
pp. 1850325 ◽  
Author(s):  
Erhan Albayrak
Keyword(s):  
Phase Diagrams ◽  
Nearest Neighbor ◽  
Bethe Lattice ◽  
Recursion Relations ◽  
Mixed Case ◽  
Coordination Numbers ◽  
System Parameters ◽  
Mixed Spin ◽  
Critical Lines ◽  
Random Approach

The mixed spin-1/2 and spin-3/2 Blume–Capel (BC) model is considered on the Bethe lattice (BL) with randomly changing coordination numbers (CN) and examined in terms of exact recursion relations. A couple of two different CNs are changed randomly on the shells of the BL in terms of a standard–random approach to obtain the phase diagrams on possible planes of the system parameters. It is found from the thermal analysis of the order-parameters that the model only gives the second-order phase transitions as in the regular mixed case. As the probability of having larger CN increases, the temperatures of the critical lines also increase as expected.

scholarly journals Magnetic properties and phase diagrams of mixed spin-1 and spin-1/2 Ising model on a checkerboard square structure: A Monte Carlo study

2021 ◽  
Vol 540 ◽  
pp. 168458
Author(s):  
Maen Gharaibeh ◽  
Mohammad H.A. Badarneh ◽  
Samah Alqaiem ◽  
Abdalla Obeidat ◽  
Mohammad-Khair Qaseer
Keyword(s):  
Monte Carlo ◽  
Magnetic Properties ◽  
Ising Model ◽  
Phase Diagrams ◽  
Monte Carlo Study ◽  
Mixed Spin

Phase diagrams and hysteresis behavior of the mixed spin-7/2 and spin-1/2 Ising model

2021 ◽  
pp. 126113
Author(s):  
A. El Antari ◽  
H. Saadi ◽  
Y. Hajaj ◽  
A. Zradba ◽  
M. Madani ◽  
...  
Keyword(s):  
Ising Model ◽  
Phase Diagrams ◽  
Hysteresis Behavior ◽  
Mixed Spin
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