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Second-order electronic correlation effects in a one-dimensional metal

Rafał Podeszwa·Leszek Z. Stolarczyk
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Abstract

The Pariser-Parr-Pople (PPP) model of a single-band one-dimensional (1D) metal is studied at the Hartree-Fock level, and by using the second-order perturbation theory of the electronic correlation. The PPP model provides an extension of the Hubbard model by properly accounting for the long-range character of the electron-electron repulsion. Both finite and infinite version of the 1D-metal model are considered within the PPP and Hubbard approximations. Calculated are the second-order electronic-correlation corrections to the total energy, and to the electronic-energy bands. Our results for the PPP model of 1D metal show qualitative similarity to the coupled-cluster results for the 3D electron-gas model. The picture of the 1D-metal model that emerges from the present study provides a support for the hypothesis that the normal metallic state of the 1D metal is different from the ground state.

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Rafał Podeszwa, Leszek Z. Stolarczyk. 2005-03-18. Second-order electronic correlation effects in a one-dimensional metal. https://doi.org/10.1103/physrevb.71.205114

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