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Journal of Magnetism and Magnetic Materials

Chiral spin state and anyons in extended t−J model

Hidetoshi Fukuyama, Osamu Narikiyo, Kazuhiro Kuboki

Published Dec 1, 1990• 0 citations
Publisher
DOI
10.1016/s0304-8853(10)80222-7

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The extended t - J model, which has both transfer integral and exchange interaction between next-nearest neighbors besides those between nearest neighbors, has been investigated by the mean field approximation in the slave-boson scheme. Especially, the staggered flux state and the chiral spin state have been investigated. For the latter state, anyons are derived by use of the result of the Chern-Simons term for the doped case. It is shown that the prefactor of the Chern-Simons term and thus the fractional statistics depend on the degree of doping.
The extended t - J model has been studied in the slave boson scheme. It is found that there exists some range of parameters where the chiral spin state is stabilized within a mean field approximation. The Chern-Simons Lagrangian for the gauge field, which represents the fluctuation of the phases of the order parameters and the local constraint, is obtained by integrating out spin fermion fields as in the undoped case [Wen, Wilczek and Zee: Phys. Rev. B 39 (1989) 11413]. The coefficient of this term turns out to depend on doping. Due to the coupling to this Chern-Simons gauge field, hole bosons are transmuted into anyons.