V. Brunel et T. Jolicoeur, EFFECTS OF RANDOMNESS ON THE ANTIFERROMAGNETIC SPIN-1 CHAIN, Physical review. B, Condensed matter, 58(13), 1998, pp. 8481-8489
We investigate the effect of weak randomness on the antiferromagnetic
anisotropic spin-1 chain. We use Abelian bosonization to construct the
low-energy effective theory. A renormalization group calculation up t
o second order in the strength of the disorder is performed on this ef
fective theory. We observe in this framework the destruction of the an
tiferromagnetic ordered phase in the manner of Imry and Ma. We predict
the effects of a random magnetic field along the z axis and a random
field in the XY plane as well as random exchange with and without XY s
ymmetry. Instabilities of massless phases appear in general by mechani
sms different from the case of the two-leg spin ladder.