  For the CuGeO3 single crystals doped with 1% of Fe the quantum critical
behavior in a wide temperature range 1-40 K is reported. The critical exponents
for susceptibility along different crystallographic axes are determined: a=0.34
(B //a and B //c) and a=0.31 (B //b). The description of the temperature
dependences of the line width and g-factor could be obtained in the OA theory
assuming that staggered component of the magnetic moment is located
predominantly along b axis. Possible arguments favoring the competition between
effects of the staggered field and antiferromagnetic ordering are provided.
