Rj. Bursill et al., DENSITY-MATRIX RENORMALIZATION-GROUP STUDY OF THE CORRELATION-FUNCTION OF THE BILINEAR-BIQUADRATIC SPIN-1 CHAIN, Journal of physics. A, mathematical and general, 28(8), 1995, pp. 2109-2119
Using the recently developed density matrix renormalization group appr
oach, we study the correlation function of the spin-1 chain with quadr
atic and biquadratic interactions. This allows us to define and calcul
ate the periodicity of the ground state which differs markedly from th
at in the classical analogue. Combining our results with other studies
, we predict three phases in the region where the quadratic and biquad
ratic terms are both positive.