Current Density Functional Theory for one-dimensional fermions

Abstract

The frequency-dependent response of a one-dimensional fermion system is investigated using Current Density Functional Theory (CDFT) within the local approximation (LDA). DFT-LDA, and in particular CDFT-LDA, reproduces very well the dispersion of the collective excitations. Unsurprisingly, however, the approximation fails for details of the dynamic response for large wavevectors. In particular, we introduce CDFT for the one-dimensional spinless fermion model with nearest-neighbor interaction, and use CDFT-LDA plus exact (Bethe ansatz) results for the groundstate energy as function of particle density and boundary phase to determine the linear response. The successes and failures of this approach are discussed in detail.

References in corpus (12)

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Cited by in corpus (8)

• Some open questions in TDDFT: Clues from Lattice Models and Kadanoff-Baym Dynamics
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Exact time-dependent density functional theory for impurity models
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Density functional theory for a model quantum dot: Beyond the local-density approximation
• Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
• Effects of interaction and polarization on spin-charge separation: A time-dependent spin-density-functional theory study
• Non-equilibrium transport through a model quantum dot: Hartree-Fock approximation and beyond