One-dimensional narrow-band model for heavy fermions and resonating valence bonds

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Abstract
A one-dimensional-lattice model consisting of a single narrow band and excluded double occupancy of the sites is considered. The electrons on nearest-neighbor sites interact via a charge interaction and spin exchange. In a previous paper we discussed the exact solution of the model for special values of the coupling constants [related to SU(3) invariance]. Here we construct an asymptotically exact solution in the low-electron-density limit for coupling parameters deviating from SU(3) symmetry. The results are compared to those obtained via multiplicative renormalization for the model in the continuum limit and used to discuss the phase diagram.