Effective lattice actions for correlated electrons

Abstract

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.

12 pages, REVTeX 3.0, no figures

References in corpus (3)

• New Exactly Solvable Model of Strongly Correlated Electrons Motivated by High T_c Superconductivity
• Phase separation in the large-spin {\it t}-{\it J} model
• Large physical spin approach for strongly correlated electrons

Cited by in corpus (9)

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• Antiholons in one-dimensional t-J models
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• Quantum Monte Carlo simulations of infinitely strongly correlated fermions
• Single hole dynamics in the Kondo Necklace and Bilayer Heisenberg models on a square lattice
• Hubbard-model description of the high-energy spin-spectral-weight distribution in La(2)CuO(4)
• Spinon and eta-spinon correlation functions
• Duality and topology
• Single-hole spectral functions in one-dimensional quantum magnets with different ground states