Density functionals not based on the electron gas: local-density approximation for a Luttinger liquid |
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Authors: | Lima N A Silva M F Oliveira L N Capelle K |
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Institution: | Departamento de Física e Informática, Instituto de Física de S?o Carlos, Universidade de S?o Paulo, Caixa Postal 369, S?o Carlos, 13560-970 S?o Paulo, Brazil. |
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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 ab initio LDA is based on a Fermi liquid (the three-dimensional interacting 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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