Disorder of anisotropy is introduced into spin 1/2 quantum XXZ chains,
This model, which is refered as the spin 1/2 +/- J(z) chain, is studi
ed by the quantum Monte Carlo method. It displays the critical phenome
na of the x-y phase, though the critical exponents gamma, eta and nu m
ust be corrected. However, the antiferromagnetic alternating spin chai
ns show no critical phenomena. It is found that the susceptibility alo
ng the z axis and averaged zz pair spin correlation functions of alter
nating spin chains show obviously different behavior from those of +/-
J(z) chains.