169 citations · 563 across the 14 of their papers we have counts for
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Approximate expression for the ground-state energy of the two- and three-dimensional Hubbard model at arbitrary filling obtained from dimensional scaling
Luana N. O. Vilela, Klaus Capelle, Luiz N. Oliveira +1
We generalize the linear discrete dimensional scaling approach for the repulsive Hubbard model to obtain a nonlinear scaling relation that yields accurate approximations to the gro…
On the lower bound on the exchange-correlation energy in two dimensions
E. Rasanen, S. Pittalis, C. R. Proetto +1
We study the properties of the lower bound on the exchange-correlation energy in two dimensions. First we review the derivation of the bound and show how it can be written in a sim…
Friedel oscillations in one-dimensional metals: from Luttinger's theorem to the Luttinger liquid
Daniel Vieira, Henrique J. P. Freire, V. L. Campo +1
Charge density and magnetization density profiles of one-dimensional metals are investigated by two complementary many-body methods: numerically exact (Lanczos) diagonalization, an…
Phase diagram of harmonically confined one-dimensional fermions with attractive and repulsive interactions
V. L. Campo, K. Capelle
We construct the complete - phase diagram for harmonically confined ultracold fermionic atoms with repulsive and attractive interactions. ( is the chemical potential and $…
Density-functionals not based on the electron gas: Local-density approximation for a Luttinger liquid
N. A. Lima, M. F. Silva, L. N. Oliveira +1
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 des…