双模随机交错晶场对spin-1和spin-1/2混合自旋纳米管中Blume-Capel模型磁化强度的影响

利用有效场理论研究了纳米管上双模随机交错晶场中混合自旋Blume-Capel模型格点的平均磁化强度，得到了系统格点的平均磁化强度与双模随机晶场的取值概率、外磁场、晶场参数和晶场强度比值的关系.结果表明:取值概率、外磁场、交换相互作用、晶场强度比值和晶场强度等诸多因素相互竞争，使系统表现出比恒定晶场作用的Blume-Capel模型更为丰富的磁化现象;双模随机交错晶场会抑制系统的平均磁化强度，使其基态饱和值小于5/6;外磁场导致系统的二级相变消失;一定条件下系统发生一级相变;系统的平均磁化强度呈现部分缺失和负值现象.

Effects on magnetization of Blume-Capel model in spin-1 and spin-1/2 hybrid spin nanotubes by double-mode random cross-crystal field

The average magnetization of the lattice points in the hybrid spin blume-capel model in the double-mode random interlaced crystal field on nanotubes was studied by using the effective field theory, and the relationship between the average magnetization of the system lattice points and the value probability of the double-mode random crystal field, the external magnetic field, the crystal field parameters and the ratio of the strength of the crystal field was obtained. The results show that the magnetization of the system is more abundant than that of the blume-capel model under the action of constant crystal field due to the competition of many factors such as the value probability, external magnetic field, exchange interaction, the ratio of crystal field strength and the strength of crystal field. The average magnetization of the system will be inhibited by the double-mode random cross-crystal field, and the saturation value of the ground state will be less than 5/6. The external magnetic field causes the second order phase transition of the system to disappear. Under certain conditions, the system has a first order phase transition. The mean magnetization of the system showed partial missing and negative values.