Chiral order of spin-1/2 frustrated quantum spin chains
- 1 January 2001
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Physics
- Vol. 79 (11-12) , 1587-1591
- https://doi.org/10.1139/cjp-79-11-12-1587
Abstract
The ordering of the frustrated S = 1/2 XY spin chain with the competing nearest- and next-nearest-neighbor anti-ferromagnetic couplings, J1 and J2, is studied by using the density-matrix renormalization-group method. It is found that besides the well-known spin-fluid and dimer phases the chain exhibits a gapless "chiral" phase characterized by the spontaneous breaking of parity, in which the long-range order parameter is a chirality, κl =SxlSyl+1 – Syl Sxl+1, whereas the spin correlation decays algebraically. The dimer phase is realized for 0.33 j = J2/J1 1.26 while the chiral phase is realized for j 1.26. PACS No.: 75.25Keywords
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