Effect of the transverse field on the bond-diluted mixed Ising spin system with single-ion anisotropy

Abstract

The effect of the transverse field on the bond-diluted mixed spin-$\frac{1}{2}$ and spin-1 Ising system with single-ion anisotropy are investigated within the framework of the effective-field theory with correlations. Particular emphasis is given to the honeycomb lattice for which phase diagrams and magnetization curves are obtained. The interactions ${J}_{\mathrm{ij}}$ are assumed to be independent random variables with distribution ${P(J}_{\mathrm{ij}})=p\ensuremath{\delta}{(J}_{\mathrm{ij}}\ensuremath{-}J)+(1\ensuremath{-}p)\ensuremath{\delta}{(J}_{\mathrm{ij}}).$ We observe that the reentrant transition may occur in the present system if the single-ion anisotropy parameter is not large and if the transverse field is small. The influence of the transverse field on the behaviors of the reentrant transition and magnetic properties are discussed. On the other hand, there is in the system an interesting possibility of the existence of magnetic ordering. We study in detail the role of the transverse field on the single-ion anisotropy induced magnetic ordering and magnetization curves in this paper.