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The ground-state phase transitions of a frustrated S=1 Heisenberg chain withthe uniaxial single-ion-type anisotropy and the frustratingnext-nearest-neighbor coupling are studied. For the system, it has been shownthat 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 thisstudy, the transitions between the Haldane and chiral phase and between thelarge-D (LD) and chiral phase are investigated using the infinite-systemdensity-matrix renormalization group method. It is found that there exist twotypes of gapped chiral phases, "chiral Haldane" and "chiral LD" phases, inwhich the string LRO coexists with the chiral LRO and the string correlationdecays exponentially, respectively.Comment: 4 pages, 2 figures, submitted to Canadian Journal of Physics for the  Proceedings of the Higly Frustrated Magnetism 2000 Conference, Waterloo,  Ontario, Canada, June 11-15, 200

Chiral-ordered phases in a frustrated S = 1 chain with uniaxial single-ion-type anisotropy