Abstract
The ground-state properties of the ferrimagnetic spin chainconsisting of (5/2,1/2,1/2) trimers with antiferromagneticexchange between the 5/2 and 1/2 spins and ferromagnetic exchangebetween the 1/2 and 1/2 spins are analysed in the framework ofthe quantum renormalization group in real space and the matrix productmethod. The results are compared with a spin-wave calculation fora spin chain with two types of spin, (5/2,1). The ground-stateenergy, the average magnetizations and the correlation length arefound as functions of the ratio between the antiferromagnetic andferromagnetic exchange. The analysis shows that the trimer spinchain is characterized by strong quantum fluctuations reducing theaverage magnetizations and possesses an extremely short correlationlength.
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