Generalized CP^1 model from t_1-t_2-J model

Abstract

A long-wavelength, low-frequency effective theory is obtained from $t_1-t_2-J$ 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 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 $t_1-t_2-J$ model, with the help of gauge invariant fields. It is argued that the resulting Fermi quasiparticles of the $t_1-t_2-J$ 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.

22 pages, RevTex, no figures

References in corpus (7)

• Correlated Electrons in High Temperature Superconductors
• Renormalization Group Approach to Interacting Fermions
• Large N expansion for frustrated and doped quantum antiferromagnets
• Universal Magnetic Properties of Frustrated Quantum Antiferromagnets in Two Dimensions
• Quantum Phase Transition in Frustrated Two-Dimensional Antiferromagnets
• The massive $C{P}^{N-1}$ model for frustrated spin systems
• Landau mapping and Fermi liquid parameters of the 2D t-J model

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