This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

This review explains the relationship between density functional theory and strongly
correlated models using the simplest possible example, the two-site Hubbard model. The …

Density-functional theory (DFT) and model Hamiltonians are conceptually distinct
approaches to the many-particle problem, which can be developed and applied …

The transport properties of an interacting one-dimensional quantum dot capacitively coupled
to an atomic force microscope probe are investigated. The dot is described within a Luttinger …

We present here a model of the exchange-correlation hole for strongly correlated systems
using a simple nonlocal generalization of the Wigner-Seitz radius. The model behaves …

The transport properties of quantum dots with up to N= 7 electrons ranging from a weak to a
strong interacting regime are investigated via the projected Hartree–Fock technique. As …

We investigate the ground-state properties of two-component Bose gases confined in one-
dimensional harmonic traps in the scheme of density-functional theory. The density …

We predict the phase separations of two-dimensional Fermi gases with repulsive contact-
type interactions between two spin components. Using density-potential functional theory …

The charge and spin patterns of a quantum dot embedded into a spin-orbit coupled quantum
wire subject to a magnetic field are investigated. A Luttinger liquid theory is developed …

The transport properties of a suspended carbon nanotube probed by means of a scanning
tunnel microscope (STM) tip are investigated. A microscopic theory of the coupling between …