Phase transitions in the anisotropic XY ferromagnet with quenched nonmagnetic impurity

Abstract

The three dimensional anisotropic XY ferromagnet has been studied by Monte Carlo simulation. The ferro-para phase transition has been observed to take place at a lower temperature for impure anisotropic XY ferromagnet. The pseudocritical temperature ($T_c^{\ast }$) has been found to decrease as the system gets more and more impure (impurity concentration $p$ increases). In the case of bilinear exchange type of anisotropy ($\lambda$), the pseudocritical temperature ($T_c^{\ast }$) increases linearly with $\lambda$ for any given concentration of nonmagnetic impurity ($p$). The slope of this linear function has been found to depend on the impurity concentration ($p$). The slope decreases linearly with the impurity concentration ($p$). In the case of the single site anisotropy ($D$), the pseudocritical temperature ($T_c^{\ast }$) has been found to decrease linearly with $p$ for fixed $D$. The critical temperature (for a fixed set of parameter values) has been estimated from the temperature variation of fourth order Binder cumulants ($U_L$) for different system sizes ($L$). The critical magnetisation ($M(T_c)$) and the maximum value of the susceptibility (${\chi }_p$) are calculated for different system sizes ($L$). The critical exponents for the assumed scaling laws, $M(T_c)\sim L^{-\frac{\beta }{\nu }}$ and ${\chi }_p\sim L^{\frac{\gamma }{\nu }}$, are estimated through the finite size analysis. We have estimated, $\frac{\beta }{\nu }$, equals to $0.48\pm 0.05$ and $0.37\pm 0.04$ for bilinear exchange and single site anisotropy respectively. We have also estimated, $\frac{\gamma }{\nu }$ equals to $1.78\pm 0.05$ and $1.81\pm 0.05$ for bilinear exchange and single site anisotropy respectively.

To appear in Int. J. Mod. Phys. C (2024)

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Cited by in corpus (1)

• Nonequilibrium tricritical behaviour in anisotropic XY ferromagnet driven by elliptically polarised propagating magnetic field wave