中文摘要：

采用Jordan-Wigner变换,讨论自旋-1/2铁磁—反铁磁—反铁磁三聚海森堡链系统在外磁场作用下的磁化过程,数值计算了零温下系统的磁化强度随反铁磁相互作用和外磁场的变化关系,结果发现有1/3磁化平台出现,且遵循OYA理论。此外,分析了系统的能隙及磁化平台产生的原因。

英文摘要：

The magnetization process of ferromagnetic-antiferromagnetic-antiferromagnetic trimerized quantum chain, under an external magetic field,have been investigated through Jordan-Wigner transformation. At zero temperature, the magnetization as a function of antiferromagnetic interaction and external magnetic field was calculated numeri- cally. It is found that a 1 /3 magnetization plateau of the system is observed,which is consistent with OYA condi- tion. Furthermore,an energy gap,responsible for the 1 /3 magnetization plateau,was discussed.