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

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

2001-12-22

arxiv.org/abs/cond-mat/0112428v4

Phys. Rev. Lett. 90, p. 146402 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures (final version, contains additional applications and discussion; accepted by Phys. Rev. Lett.)

Scientific paper

10.1103/PhysRevLett.90.146402

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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