Phase Diagram of the Spin-One Heisenberg System with Dimerization and Frustration

Details Phase Diagram of the Spin-One Heisenberg System with Dimerization and Frustration Phase Diagram of the Spin-One Heisenberg System with Dimerization and Frustration

1995-07-29

arxiv.org/abs/cond-mat/9507129v1

Europhys. Lett. 33 (1996) 707-712

Physics

Condensed Matter

11 pages, plain TeX, 3 figures available on request

Scientific paper

10.1209/epl/i1996-00403-3

We use the density matrix renormalization group method to study the ground state properties of an antiferromagnetic spin-$1$ chain with a next-nearest neighbor exchange $J_2 ~$ and an alternation $\delta$ of the nearest neighbor exchanges. We find a line running from a gapless point at $(J_2 , \delta) = (0, 0.25 \pm 0.01)$ upto an almost gapless point at $(0.725 \pm 0.01, 0$ such that the open chain ground state is $4$-fold degenerate below the line and is unique above it. A disorder line $2 J_2 + \delta = 1$ runs from $\delta =0$ to about $\delta =0.136$. To the left of this line, the peak in the structure factor $S(q)$ is at $\pi$, while to the right of the line, it is at less than $\pi$.

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