Chiral order of Spin-1/2 frustrated quantum spin chains
Abstract
The ordering of the frustrated S=1/2 XY spin chain with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings, J_1 and J_2, 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 gapless `chiral' phase characterized by the spontaneous breaking of parity, in which the long-range order parameter is a chirality, \kappa _l=S_l^xS_{l+1}^y-S_l^yS_{l+1}^x, whereas the spin correlation decays algebraically. The dimer phase is realized for 0.33 \lsim j = J_2/J_1 \lsim 1.26 while the chiral phase is realized for j \gsim 1.26.
Keywords
Cite
@article{arxiv.cond-mat/0007095,
title = {Chiral order of Spin-1/2 frustrated quantum spin chains},
author = {T. Hikihara and M. Kaburagi and H. Kawamura},
journal= {arXiv preprint arXiv:cond-mat/0007095},
year = {2009}
}
Comments
4 pages, 1 figure, submitted to Canadian Journal of Physics for the Proceedings of the Highly Frustrated Magnetism 2000 Conference, Waterloo, Ontario, Canada, June 11-15, 2000. Revised version; error bar of jc and discussion on the chiral dimer phase changed, references updated