Abstract

The Hubbard Hamiltonian is investigated by means of a new variational trial wave function. The trial wave function includes either intrasite and nearest-neighbor correlations in an explicit form. To calculate density matrices Kikuchi's pseudoensemble method is used. The case of a half-filled fermionic band is carefully investigated in the limit of a large number of lattice sites. The ground state energy and correlation functions are determined for Bethe lattices with z = 2,4 and 6 nearest neighbors.

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