最近邻弱交换相互作用对纳米管中Blume-Capel模型热学性质的研究

利用有效场理论研究了纳米管上最近邻弱交换相互作用下spin-1纳米管中Blume-Capel模型的内能、比热和自由能，得到了系统的内能、比热和自由能与最近邻弱交换相互作用和晶场的关系。结果表明：最近邻弱交换相互作用和晶场强度等诸多因素相互竞争，使系统表现出比 = = =1时的BC模型更为复杂的热学性质；系统内能随温度的变化曲线表现出不连续性；比热随温度的变化出现奇异性；高温对自由能的影响更加明显。

Research on the thermal properties of Blume-Capel model in nanotube by the nearest neighbor weak exchange interaction

Using the effective field theory, the internal energy, specific heat and free energy of Blume-Capel model in spin-1 nanotube under the interaction of nearest-neighbor weak exchange are studied, and the relationship between the internal energy, specific heat and free energy of the system and the interaction and crystal field of nearest-neighbor weak exchange is obtained. The results show that the thermal properties of the system are more complex than those of the BC model at the time of = = =1 due to the competition between the weak exchange interaction of the nearest neighbor and the strength of the crystal field. The curve of energy change with temperature shows discontinuity. The specific heat curve presents singularities. The effect of high temperature on free energy is more obvious.