1212.3241 (Daniel Vieira)

Spin-charge and spin-orbital separations in density-functional theory    [PDF]

Daniel Vieira

It is known that the separation of electrons into spinons and chargons, the spin-charge separation, plays a decisive role when describing strongly correlated one-dimensional (1D) Friedel oscillations. Here, we extend the investigation by considering a third electron fractionalization: the separation into spinons and orbitons. Specifically, we deal with two exact constraints of exchange-correlation (XC) density-functionals: (i) The constancy of the highest occupied Kohn-Sham eigenvalues upon fractional electron numbers, and (ii) their discontinuities at integers. By means of 1D Hubbard chains, we show that spin-orbital separation can be decisive when dealing with derivative discontinuities of XC potentials, especially at strong correlations.

View original: http://arxiv.org/abs/1212.3241