Generalized CP^1 model from t_1-t_2-J model
Abstract
A long-wavelength, low-frequency effective theory is obtained from model. The action is written in terms of two-component bose spinor fields (CP^1 fields) and two spinless Fermi fields. The generalized CP^1 model is invariant under U(1) gauge transformations. The bose fields and one of the Fermi fields have charge +1 while the other Fermi field has charge -1 with respect to these transformations. A simple mean-feild theory of a gauge-symmerty breaking, based on a four-fermion interaction, is discussed. An effective theory of frustrated antiferromagnetism is obtained integrating out the Fermi fields around the mean-fields. Another option is used to parametrize the long distance fluctuations in model, with the help of gauge invariant fields. It is argued that the resulting Fermi quasiparticles of the model have both charge and spin. The effective action is rewritten in terms of spin 1/2 Fermi spinor, which has the charge of the holes, and unit vector.
Cite
@article{arxiv.cond-mat/9706105,
title = {Generalized CP^1 model from t_1-t_2-J model},
author = {Naoum Karchev},
journal= {arXiv preprint arXiv:cond-mat/9706105},
year = {2016}
}
Comments
22 pages, RevTex, no figures