Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation

Details Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation

1994-01-25

arxiv.org/abs/cond-mat/9401053v2

Physics

Condensed Matter

9 pages and 1 PostScript figure, Revtex 3.0 (Minor corrections in TEX-file format to remove possible compilatory troubles.)

Scientific paper

10.1143/JPSJ.63.1277

We study the $S=1$ quantum spin chain with bond alternation ${\cal H}=\sum _i (1-(-1)^i\delta)\vect{S}_i\cdot \vect{S}_{i+1}$ by the density matrix renormalization group method recently proposed by Steven R. White (\PRL{69}{3844}{1993}). We find a massless point at $\delta _c =0.25 \pm 0.01$. We also find the edge states in the region $\delta <\delta_c$ under the open boundary condition, which disappear in the region $\delta >\delta _{c}$. At the massless point, the spin wave velocity $v_s$ is $3.66 \pm 0.10$ and the central charge $c$ is $1.0\pm 0.15$. Our results indicate that a continuous phase transition occurs at the massless point $\delta =\delta_c $ accompanying breaking of the hidden $Z_2\times Z_2$ symmetry.

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