50 citations · 275 across the 20 of their papers we have counts for
6 papers · 1 filter
Competition between local potentials and attractive particle-particle interactions in superlattices
N. A. Lima, A. L. Malvezzi, K. Capelle
Naturally occuring or man-made systems displaying periodic spatial modulations of their properties on a nanoscale constitute superlattices. Such modulated structures are important…
Simple quantitative estimate of the derivative discontinuity of the exchange-correlation functional in atoms and molecules
F. P. Rosselli, A. B. F. da Silva, K. Capelle
The derivative discontinuity of the exchange-correlation functional of density-functional theory is cast as the difference of two types of electron affinities. We show that standar…
Degenerate ground states and nonunique potentials: breakdown and restoration of density functionals
K. Capelle, C. A. Ullrich, G. Vignale
The Hohenberg-Kohn (HK) theorem is one of the most fundamental theorems of quantum mechanics, and constitutes the basis for the very successful density-functional approach to inhom…
Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
Gao Xianlong, M. Rizzi, Marco Polini +4
The Luther-Emery liquid is a state of matter that is predicted to occur in one-dimensional systems of interacting fermions and is characterized by a gapless charge spectrum and a g…
Entanglement entropy and entanglement witnesses in models of strongly interacting low-dimensional fermions
V. V. França, K. Capelle
We calculate the entanglement entropy of strongly correlated low-dimensional fermions in metallic, superfluid and antiferromagnetic insulating phases. The entanglement entropy refl…
Dimensional-scaling estimate of the energy of a large system from that of its building blocks: Hubbard model and Fermi liquid
K. Capelle, L. N. Oliveira
A simple, physically motivated, scaling hypothesis, which becomes exact in important limits, yields estimates for the ground-state energy of large, composed, systems in terms of th…