PHYSICA A: STATISTICAL MECHANICS AND ITS APPLICATIONS, cilt.605, ss.1-10, 2022 (SCI-Expanded)
The three-dimensional XY model is investigated in the presence of a uniform magnetic
field applied in the X-direction. The nearest neighbour intraplanar interaction is considered ferromagnetic, and the interplanar nearest neighbour interaction is chosen to be
antiferromagnetic. Starting from a high-temperature initial random spin configuration,
the equilibrium phase of the system at any finite temperature was achieved by cooling
the system using the Monte Carlo single spin-flip Metropolis algorithm with a random
updating rule. The components of total magnetization and the sublattice magnetizations
were calculated. The variance of the antiferromagnetic order parameter and the susceptibility have been calculated. In a specific range of relative strengths of interactions
(antiferromagnetic/ferromagnetic) and the applied magnetic field, the system shows the
equilibrium phase transitions at different temperatures. The phase diagrams (in the
field-temperature plane) were obtained for different values of the relative interaction
strengths. The ordered region bounded by the phase boundary was found to increase as
the ratio of relative interaction strength increased. Furthermore, the maximum value of
the susceptibility (χ
m
ay) was found to increase with the system size (L). For χ
m
ay ∼ L
γ
ν ,
the exponent γ /ν has been estimated to be 2.10 ± 0.11.