Critical Properties of Spin-1 Antiferromagnetic Heisenberg Chains with Bond Alternation and Uniaxial Single-Ion-Type Anisotropy

Details Critical Properties of Spin-1 Antiferromagnetic Heisenberg Chains with Bond Alternation and Uniaxial Single-Ion-Type Anisotropy Critical Properties of Spin-1 Antiferromagnetic Heisenberg Chains with Bond Alternation and Uniaxial Single-Ion-Type Anisotropy

1999-08-09

arxiv.org/abs/cond-mat/9908125v2

J. Phys. Soc. Jpn. 69 (2000) 237

Physics

Condensed Matter

Statistical Mechanics

4 pages, 8 figures, Erratum paper including importanct corrections with 5 figures is added

Scientific paper

10.1143/PTPS.138.527

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.

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