Abstract

The one-dimensional Hubbard and Hubbard-Peierls models are studied for various regimes of band filling. A variational ansatz for the ground state is worked out for small values (on the scale of the bandwidth) of the on-site Coulomb interaction. It is shown that this term enhances the lattice dimerization in the half-filled band case, but suppresses the lattice distortion in the incommensurate case. The semiconductor-metal transition in doped polyacetylene is tentatively attributed to this effect. Parameter values extracted from properties of the undoped material yield a critical dopant concentration of about 3%.

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