Generalized CP 1 model from t 1 − t 2 − J model
نویسنده
چکیده
A long-wavelength, low-frequency effective theory is obtained from t1− t2−J 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 gaugesymmerty 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 t1 − t2 − J model, with the help of gauge invariant fields. It is argued that the resulting Fermi quasiparticles of the t1 − t2 − J model have both charge and spin. The effective action is rewritten in terms of spin 12 Fermi spinor, which has the charge of the holes, and unit vector. 71.27.+a,75.10.Jm,74.20.Mn,74.25Ha
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