Doped carrier formulation of the t-J model: the projection constraint and the effective Kondo-Heisenberg lattice representation

Abstract

We show that the recently proposed doped carrier Hamiltonian formulation of the t-J model should be complemented with the constraint that projects out the unphysical states. With this new important ingredient, the previously used and seemingly different spin-fermion representations of the t-J model are shown to be gauge related to each other. This new constraint can be treated in a controlled way close to half-filling suggesting that the doped carrier representation provides an appropriate theoretical framework to address the t-J model in this region. This constraint also suggests that the t-J model can be mapped onto a Kondo-Heisenberg lattice model. Such a mapping highlights important physical similarities between the quasi two-dimensional heavy fermions and the high-T${}_c$ superconductors. Finally we discuss the physical implications of our model representation relating in particular the small versus large Fermi surface crossover to the closure of the lattice spin gap.

corrected and enlarged version

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• Onset of ferromagnetism for strongly correlated electrons in one-dimensional chains
• Ising t-J model close to half filling: A Monte Carlo study
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• Itinerant-localized model of strongly correlated electrons: Fermi-surface reconstruction
• Quantum Monte Carlo study of the itinerant-localized model of strongly correlated electrons: Spin-spin correlation functions
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