Mixed Spin-1/2 and Spin-3/2 Blume-Capel Ising Ferromagnetic System in a Longitudinal Magnetic Field

By means of the recursion relations method, the exact formulations of magnetizations for a mixed spin-1/2 and spin-3/2 Blume-Capel Ising ferromagnetic model on Bethe lattice in a longitudinal magnetic field are presented. The exact expressions for sublattice magnetizations and average magnetization per site are obtained, respectively, and the temperature dependence of the magnetizations for the Bethe lattice with coordination number 4 is numerically studied. The effects of the longitudinal field and crystal-field interaction on the magnetizations are also studied. It is found that the sublattice magnetizations and average one have two different saturation values in the case of low temperature, and decrease from three different saturation values to the same constant as D/J decreases in the case of high temperature.