Ground-state phase diagrams of frustrated spin-S XXZ chains: Chiral ordered phases - art. no. 174430

The ground-state phase diagram of the frustrated spin-S XXZ chain with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied numerically by using the density-matrix renormalization-group meth od for the cases of S = 1/2, 3/2, and 2. We are particularly interested in the possible gapless and gapped chiral phases, in which the chirality kappa (l) = (SlSl+1y)-S-x - (SlSl+1x)-S-y exhibits a finite long-range order whe reas the spin correlation decays either algebraically or exponentially. We show that the gapless chiral phase appears in a broad region of the phase d iagram for general S. By contrast, the gapped chiral phase is found for int eger S in a narrow region of the phase diagram, while it has not been ident ified for half-odd integer S within our numerical accuracy. By combining th e results with our previous result for S = 1, we discuss the S dependence o f the phase diagram. The prediction from a bosonization analysis on the dec ay exponent of the spin correlation is verified.