Random-anisotropy mixed-spin Ising on a triangular lattice

Abstract

We have studied the mixed spin-1/2 and 1 Ising ferrimagnetic system with a random anisotropy on a triangular lattice with three interpenetrating sublattices $A$, $B$, and $C$. The spins on the sublattices are represented by ${\sigma }_A$ (states $\pm 1/2$), ${\sigma }_B$ (states $\pm 1/2$), and $S_C$ (states $\pm 1$, $0$). We have performed Monte Carlo simulations to obtain the phase diagram temperature $k_{\text{B}}T/\left|J\right|$ versus the strength of the random anisotropy $D/\left|J\right|$. The phase boundary between two ferrimagnetic $F{R}_1$ and $F{R}_2$ phases at lower temperatures are always first-order for $p<0.25$ and second-order phase transition between the $F{R}_1$, $F{R}_2$ and the paramagnetic $P$ phases. On the other hand, for values of $p⪆0.5$, the phase diagram presents only second-order phase transition lines.

arXiv comment10 pages, 7 figures

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