Schwinger-boson approach to anisotropy ferrimagnetic chain with bond alternation

We use the Schwinger-boson approach to study the anisotropy ferrimagnetic spin-(1/2,1) chain with bond alternation.Based on the effect of bond alternation δ,we obtain energy gap,free energy,and specific heat,respectively.The specific heat with larger bond alternation(δ 0.7) displays a peak at low temperature.Based on the effect of XXZ anisotropy parameter δ,we present excited spectrums,free energy,and specific heat,respectively.