Effective lattice actions for correlated electrons

Details Effective lattice actions for correlated electrons Effective lattice actions for correlated electrons

1994-12-20

arxiv.org/abs/cond-mat/9412087v1

Physics

Condensed Matter

12 pages, REVTeX 3.0, no figures

Scientific paper

10.1103/PhysRevB.51.11580

We present an exact, unconstrained representation of the electron operators in terms of operators of opposite statistics. We propose a path--integral representation for the $t$-$J$ model and introduce a parameter controlling the semiclassical behaviour. We extend the functional approach to the Hubbard model and show that the mean--field theory is equivalent to considering, at Hamiltonian level, the Falikov--Kimball model. Connections with a bond-charge model are also discussed.

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