Study on magnetization of Blume-Capel model in spin-1 and spin-1/2 hybrid spin nanotubes by diluting the crystal field

The magnetization of the mixed spin Blume-Capel model lattice points in the diluted crystal field on nanotubes was studied by using the effective field theory, and the relationships between the magnetization of the system lattice points and the value probability of the diluted crystal field, the external magnetic field and the crystal field were obtained. The results show that the magnetic properties of the system are more abundant than those of the constant crystal field under the competition of many factors such as value probability, external magnetic field, exchange interaction and crystal field strength. The external magnetic field can increase the magnetization intensity of the lattice points of the system, resulting in the disappearance of the second-order phase transition of the system. The negative crystal field makes the system undergo a phase transition. Diluting the crystal field will inhibit the magnetization of the system, resulting in its ground state saturation value less than 1. (authors)