  Quantum entanglement and correlations in the spin-1 Heisenberg chain with
single-ion anisotropy are investigated using the quantum renormalization group
method. Negativity and quantum discord (QD) are calculated with various
anisotropy parameters $\bigtriangleup$ and single-ion anisotropy parameters
$D$. We focus on the relations between two abovementioned physical quantities
and on transitions between the N\'eel, Haldane, and Large-D phases. It is found
that both negativity and QD exhibit step-like patterns in different phases as
the size of the system increases. Interestingly, the single-ion anisotropy
parameter $D$, which can be modulated using nuclear electric resonance (2020
\textit{Nature} \textbf{579} 205), plays an important role in tuning the
quantum phase transition (QPT) of the system. Both the first partial derivative
of the negativity and quantum discord with respect to $D$ or $\bigtriangleup$
exhibit nonanalytic behavior at the phase transition points, which corresponds
directly to the divergence of the correlation length. The quantum correlation
critical exponents derived from negativity and QD are equal, and are the
reciprocal of the correlation length exponent at each critical point. This work
extends the application of quantum entanglement and correlations as tools for
depicting QPTs in spin-1 systems.
