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

Abstract

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 $2J_2+\delta =1$ 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 $\pi$.

arXiv comment11 pages, plain TeX, 3 figures available on request

References in corpus (5)

• DMRG Studies of the Spin-Half Heisenberg System with Dimerization and Frustration
• Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation
• Equal Time Correlations in Haldane Gap Antiferromagnets
• Semi-classical description of the frustrated antiferromagnetic chain
• Non-linear Field Theory of a Frustrated Heisenberg Spin Chain

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• Density-Matrix Renormalization-Group Analysis of Quantum Critical Points: I. Quantum Spin Chains
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• Studies on a frustrated Heisenberg spin chain with alternating ferromagnetic and antiferromagnetic exchanges
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• Quantum phase transitions to topological Haldane phases in spin-one chains studied by linked-cluster expansions
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