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Density-functionals not based on the electron gas: Local-density approximation for a Luttinger liquid

N. A. Lima·M. F. Silva·L. N. Oliveira·K. Capelle
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Abstract

By shifting the reference system for the local-density approximation (LDA) from the electron gas to other model systems one obtains a new class of density functionals, which by design account for the correlations present in the chosen reference system. This strategy is illustrated by constructing an explicit LDA for the one-dimensional Hubbard model. While the traditional {\it ab initio} LDA is based on a Fermi liquid (the electron gas), this one is based on a Luttinger liquid. First applications to inhomogeneous Hubbard models, including one containing a localized impurity, are reported.

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N. A. Lima, M. F. Silva, L. N. Oliveira, K. Capelle. 2003-03-11. Density-functionals not based on the electron gas: Local-density approximation for a Luttinger liquid. https://doi.org/10.1103/physrevlett.90.146402

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