  The ground-state phase transitions of a frustrated S=1 Heisenberg chain with
the uniaxial single-ion-type anisotropy and the frustrating
next-nearest-neighbor coupling are studied. For the system, it has been shown
that there are gapless and gapped chiral phases in which the chirality \kappa_l
= S^x_l S^y_{l+1} - S^y_l S^x_{l+1} exhibits a finite long-range order (LRO)
and the spin correlation decays either algebraically or exponentially. In this
study, the transitions between the Haldane and chiral phase and between the
large-D (LD) and chiral phase are investigated using the infinite-system
density-matrix renormalization group method. It is found that there exist two
types of gapped chiral phases, "chiral Haldane" and "chiral LD" phases, in
which the string LRO coexists with the chiral LRO and the string correlation
decays exponentially, respectively.
