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 , res...
