Spin and chiral orderings of frustrated quantum spin chains

Abstract

Ordering of frustrated S=1/2 and 1 XY and Heisenberg spin chains with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied by exact diagonalization and density-matrix renormalization-group methods. It is found that the S=1 XY chain exhibits both gapless and gapped `chiral' phases characterized by the spontaneous breaking of parity, in which the long-range order parameter is a chirality, ${\kappa }_i=S_i^x{S}_{i+1}^y-S_i^y{S}_{i+1}^x$, whereas the spin correlation decays either algebraically or exponentially. Such chiral phases are not realized in the S=1/2 XY chain nor in the Heisenberg chains.

4 pages, 5 EPS-figures, LaTeX(RevTeX),to appear in J.Phys.Soc.Japan

References in corpus (1)

• Incommensurate spin correlations in Heisenberg spin-1/2 zig-zag ladders

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