Study Of The Critical And Magnetic Properties Of Mixed Spin System In The Different Transverse Fields With Single-ion Anisotropy

This paper mainly discusses the critical and magnetic properties of the mixed Ising spin system in the different transverse fields with single-ion anisotropy. By making use of the effective field theory(EFT) and a cutting approximation, at first we study the dependence of the Curie temperature on the different transverse fields and random concentration in the body center cubic lattices. Some detailed phase diagrams are described and we found some interesting results that the Curie temperature decreases slowly as the increasing of the random transverse in sublattice A (or B) and the effects of the transverse field in sublattice A (or B) on the magnetic ordering of sublattice B (or A) is very regular. Then, we discuss the compensation behaviour of the system in two conditions by fixing the transverse field and random concentration in the two sublattices to a certain value and find that the two distinctly different compensation behaviours appear in the system when trimodal random concentrations in sublattice A (or B) take different values and the transverse value in sublattice A is fixed. At last, we discuss the effects of the crystal field,different sublattice random transverse fields and trimodal random concentrationon the critical properties of the mixed Ising spin system. We find some interesting results: affect of the crystal field is very strange in the different phase spaces, and effect of the transverse fields in two different sublattice A (or B) is also different.