Ground State Phase Diagram of Frustrated S=1 XXZ chains : Chiral Ordered Phases

Details Ground State Phase Diagram of Frustrated S=1 XXZ chains : Chiral Ordered Phases Ground State Phase Diagram of Frustrated S=1 XXZ chains : Chiral Ordered Phases

1999-10-11

arxiv.org/abs/cond-mat/9910159v1

Physics

Condensed Matter

Statistical Mechanics

13 pages, 9 figures, to appear in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.69.259

The ground-state phase diagram of frustrated S=1 XXZ spin chains with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied using the infinite-system density-matrix renormalization-group method. We find six different phases, namely, the Haldane, gapped chiral, gapless chiral, double Haldane, N\'{e}el, and double N\'{e}el (uudd) phases. The gapped and gapless chiral phases are characterized by the spontaneous breaking of parity, in which the long-range order parameter is a chirality, \kappa_l = S_l^xS_{l+1}^y-S_l^yS_{l+1}^x, whereas the spin correlation decays either exponentially or algebraically. These chiral ordered phases appear in a broad region in the phase diagram for \Delta < 0.95, where \Delta is an exchange-anisotropy parameter. The critical properties of phase transitions are also studied.

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