Impurity state in Haldane gap for S=1 Heisenberg antiferromagnetic chain with bond doping

Abstract

Using a new impurity density matrix renormalization group scheme, we establish a reliable picture of how the low lying energy levels of a $S=1$ Heisenberg antiferromagnetic chain change {\it quantitatively} upon bond doping. A new impurity state gradually occurs in the Haldane gap as $J^{\prime }<J$, while it appears only if $J^{\prime }/J>{\gamma }_c$ with $1/{\gamma }_c=0.708$ as $J^{\prime }>J$. The system is non-perturbative as $1\le J^{\prime }/J\le {\gamma }_c$. This explains the appearance of a new state in the Haldane gap in a recent experiment on Y${}_{2-x}$Ca${}_x$BaNiO${}_5$ [J.F. DiTusa, et al., Phys. Rev. Lett. 73 1857(1994)].

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References in corpus (2)

• Large-Scale Numerical Evidence for Bose Condensation in the S=1 Antiferromagnetic Chain in a Strong Field
• Finite-lattice extrapolations for a Haldane gap antiferromagnet

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