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Crystal field effect on a bilayer Bethe lattice
1Department of Physics, Erciyes University, 38039, Kayseri, Turkey.
Summary
This study explores the crystal field
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Materials Science
Background:
- Investigates the bilayer spin-1 Ising model on a Bethe lattice, a theoretical framework for magnetic materials.
- Examines the impact of crystal field effects on magnetic phase transitions.
- Considers intralayer (J1, J2) and interlayer (J3) coupling constants, crucial for understanding magnetic ordering.
Purpose of the Study:
- To determine the influence of crystal fields on the phase diagrams of the bilayer spin-1 Ising model.
- To map ground-state configurations and identify phase transition types.
- To analyze the paramagnetic phase behavior under varying conditions.
Main Methods:
- Employs the recursion relation scheme to analyze the magnetic model.
- Calculates ground-state configurations on the (J2/J1, J3q/J1) plane.
- Constructs phase diagrams on the (kT/J1, J3/J1) plane for specific crystal field values and coordination numbers (q=4).
Main Results:
- Identified six distinct ground-state configurations influenced by the crystal field.
- Revealed the presence of both first- and second-order phase transitions, indicating tricritical points.
- Subdivided the paramagnetic phase into P+ and P- phases based on quadrupolar moment behavior.
Conclusions:
- Crystal fields significantly alter the phase diagram and ground states of the bilayer spin-1 Ising model.
- The model exhibits complex phase transition behavior, including tricritical points.
- The paramagnetic phase displays richer structure than previously assumed, with distinct sub-phases.
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