169 citations · 563 across the 14 of their papers we have counts for
14 papers
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…
Thermal versus Quantum Fluctuations of Optical Lattice Fermions
V. L. Campo, K. Capelle, C. Hooley +2
We show that, for fermionic atoms in a one-dimensional optical lattice, the fraction of atoms in doubly occupied sites is a highly non-monotonic function of temperature. We demonst…
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…
Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases
Daniel Karlsson, Claudio Verdozzi, Mariana M. Odashima +1
The time evolution of the out-of-equilibrium Mott insulator is investigated numerically through calculations of space-time resolved density and entropy profiles resulting from the…
Non-empirical hyper-generalized-gradient functionals constructed from the Lieb-Oxford bound
Mariana M. Odashima, K. Capelle
A simple and completely general representation of the exact exchange-correlation functional of density-functional theory is derived from the universal Lieb-Oxford bound, which hold…
Tightened Lieb-Oxford bound for systems of fixed particle number
Mariana M. Odashima, K. Capelle, S. B. Trickey
The Lieb-Oxford bound is a constraint upon approximate exchange-correlation functionals. We explore a non-empirical tightening of that bound in both universal and electron-number-d…