Physics of the Solid State
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Phase Transitions of the Mixed-Spin Ising Model on the Square Lattice
Magomedov M. A.
1, Murtazaev A. K.
1, Gasanov S. Sh.1
1Amirkhanov Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, Russia
Email: magomedov_ma@mail.ru, akai2005@mail.ru, sirazhudingasanov@gmail.com
The mixed-spin Ising model S=(1/2,1) on a square lattice has been investigated using a highly efficient replica exchange Monte Carlo algorithm. The system was studied with fixed exchange interaction and anisotropy parameters: J1=-1 (between spins in sublattices A and B), J2=-0.5 (between spins in sublattice B), and D=1.0 (anisotropy for spins in sublattice B). Temperature and field dependencies of the main thermodynamic characteristics (energy, specific heat, entropy, magnetization) were calculated. Ground state structures were visualized. The existence of two successive phase transitions was revealed: at TC1=0.285 a transition to a partially disordered state occurs, and at TC2=0.35 - a transition to a paramagnetic state. A detailed analysis of the field dependencies reveals a complex, multi-step magnetization curve, indicating multiple field-induced phase transitions. We identify a series of magnetization plateaus, determine the corresponding magnetic structure for each, and calculate the critical field values for the transitions between these phases, leading to a comprehensive understanding of the system's phase diagram and its response to external perturbations. Keywords: Mixed-spin Ising model, ground state structure, phase transitions, replica exchange algorithm, Monte Carlo method.
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