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arXiv:cond-mat/0010283 · Physical review. B, Condensed matter

Ground-state phase diagrams of frustrated spin-SXXZchains: Chiral ordered phases

Takashi Hikihara, Makoto Kaburagi, Hikaru Kawamura

Published Apr 11, 2001• 93 citations
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Abstract

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 method 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 ${\ensuremath{\kappa}}_{l}{=S}_{l}^{x}{S}_{l+1}^{y}\ensuremath{-}{S}_{l}^{y}{S}_{l+1}^{x}$ exhibits a finite long-range order whereas the spin correlation decays either algebraically or exponentially. We show that the gapless chiral phase appears in a broad region of the phase diagram for general S. By contrast, the gapped chiral phase is found for integer S in a narrow region of the phase diagram, while it has not been identified for half-odd integer S within our numerical accuracy. By combining the results with our previous result for $S=1,$ we discuss the S dependence of the phase diagram. The prediction from a bosonization analysis on the decay exponent of the spin correlation is verified.

DOI
10.1103/physrevb.63.174430

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