Spin and chiral orderings of frustrated quantum spin chains

Details Spin and chiral orderings of frustrated quantum spin chains Spin and chiral orderings of frustrated quantum spin chains

1999-01-30

arxiv.org/abs/cond-mat/9902002v2

J. Phys. Soc. Jpn. 68 (1999) 3185-8

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1143/JPSJ.68.3185

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, $\kappa_i = S_i^xS_{i+1}^y-S_i^yS_{i+1}^x$, 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.

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