%0 Journal Article
%T Critical Properties of Spin-1 Antiferromagnetic Heisenberg Chains with Bond Alternation and Uniaxial Single-Ion-Type Anisotropy
%A Wei Chen
%A Kazuo Hida
%A Bryan C. Sanctuary
%J Physics
%D 1999
%I arXiv
%R 10.1143/PTPS.138.527
%X One dimensional S=1 antiferromagnetic Heisenberg chains with bond alternation and uniaxial single-ion-type anisotropy are studied by numerical exact diagonalization of finite size systems. We calculate the ground state phase diagram using the twisted boundary condition method for $D\geq 0$. The ground states of this model contain the Haldane state, large-D state and the dimer state. Using conformal field theory and the level spectroscopy method, we calculate the D and $\delta$-dependence of the Luttinger liquid paraments K and the critical exponent $\nu$ of the energy gap.
%U http://arxiv.org/abs/cond-mat/9908125v2