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Using a new impurity density matrix renormalization group scheme, weestablish a reliable picture of how the low lying energy levels of a $S=1$Heisenberg antiferromagnetic chain change {\it quantitatively} upon bonddoping. A new impurity state gradually occurs in the Haldane gap as $J' < J$,while it appears only if $J'/J>\gamma_c$ with $1/\gamma_c=0.708$ as $J'>J$. Thesystem is non-perturbative as $1\leq J'/J\leq\gamma_c$. This explains theappearance of a new state in the Haldane gap in a recent experiment onY$_{2-x}$Ca$_x$BaNiO$_5$ [J.F. DiTusa, et al., Phys. Rev. Lett. 73 1857(1994)].Comment: 4 pages of uuencoded gzip'd postscrip

physical review. b, condensed matter

Impurity state in the Haldane gap for an<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mn /></mml:math>Heisenberg antiferromagnetic chain with bond doping

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