匀强磁场与简谐势阱中的低维荷电自旋-1玻色气体

Low-dimensional charged spin- 1 Bose gases in uniform magnetic field and harmonic trap

采用截断求和法和半经典近似,以二维理想玻色气体为例,研究了磁场和简谐势阱中低维荷电自旋-1玻色子的相变及磁性质.结果表明,电荷-磁场和自旋-磁场作用的竞争导致玻色-爱因斯坦凝聚临界温度随磁场的增大先略微上升后缓慢下降.截断求和法能够有效的改进半经典近似的不足.最后,讨论了磁化强度由抗磁性到顺磁性的转变及自旋因子临界值随磁场和温度的变化.

The phase transition and magnetic properties of low-dimensional charged spin-1 bosons under mag-netic field and harmonic trap are studied with truncated-summation approach （ TSA） and semi-classical ap-proximation （ SCA） , taking two dimensional ideal Bose gas as an example.It is indicated that the Bose-Einstein condensation （ BEC） critical temperature first slightly increases and then slowly decreases with the increasing magnetic field due to the competition between charge -and spin -magnetic field interactions.The TSA can make a well improvement to the SCA.Finally, a crossover from diamagnetism to paramagnetism and relations of the critical value of spin factor as a function of magnetic field and temperature are discussed.