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Heisenberg-model cluster expansion for half-filled Hubbard and PPP models

R. D. Poshusta, Thomas G. Schmalz, Douglas J. Klein

Open publisher page 26 citations

Abstract

Pariser-Parr-Pople, Hubbard, and Heisenberg models for systems with one electron per site, such as the π-networks of neutral conjugated hydrocarbons, are considered. It is argued that for usual systems the Hubbard model describes reasonably only those states that are also capable of being so described by a Heisenberg model. Such Heisenberg models are given by a cluster expansion, surpassing in accuracy the results of correspondingly low-order degenerate perturbation expansions.

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What this paper is about

Pariser-Parr-Pople, Hubbard, and Heisenberg models for systems with one electron per site, such as the π-networks of neutral conjugated hydrocarbons, are considered. It is argued that for usual systems the Hubbard model describes reasonably only those states that are also capable of being so described by a Heisenberg model. Such Heisenberg models are given by a cluster expansion, surpassing in accuracy the results of correspondingly low-order degenerate perturbation expansions.

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OpenAlex reports 26 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Pariser-Parr-Pople, Hubbard, and Heisenberg models for systems with one electron per site, such as the π-networks of neutral conjugated hydrocarbons, are considered. It is argued that for usual systems the Hubbard model describes reasonably only those states that are also capable of being so described by a Heisenberg model. Such Heisenberg models are given by a cluster expansion, surpassing in accuracy the results of correspondingly low-order degenerate perturbation expansions.

Key concepts: Hubbard model, Heisenberg model, Degenerate energy levels, Cluster expansion, Physics, Perturbation (astronomy), Cluster (spacecraft), Perturbation theory (quantum mechanics)

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