Successes and failures of Bethe Ansatz Density Functional Theory

Abstract

The response of a one-dimensional fermion system is investigated using Density Functional Theory (DFT) within the Local Density Approximation (LDA), and compared with exact results. It is shown that DFT-LDA reproduces surprisingly well some of the characteristic features of the Luttinger liquid, namely the vanishing spectral weight of low energy particle-hole excitations, as well as the dispersion of the collective charge excitations. On the other hand, the approximation fails, even qualitatively, for quantities for which backscattering is important, i.e., those quantities which are crucial for an accurate description of transport. In particular, the Drude weight in the presence of a single impurity is discussed.

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Cited by in corpus (20)

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• Lattice density functional theory at finite temperature with strongly density-dependent exchange-correlation potentials
• Exact Kohn-Sham eigenstates versus quasiparticles in simple models of strongly correlated electrons
• Collective excitations in one-dimensional ultracold Fermi gases: a comparative study
• Some open questions in TDDFT: Clues from Lattice Models and Kadanoff-Baym Dynamics
• Electric field response of strongly correlated one-dimensional metals: a Bethe-Ansatz density functional theory study
• Exact time-dependent density functional theory for impurity models
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Variational Bethe Ansatz approach for dipolar one-dimensional bosons
• Spin-independent v-representability of Wigner crystal oscillations in one-dimensional Hubbard chains: The role of spin-charge separation
• Density functional theory for a model quantum dot: Beyond the local-density approximation
• Solving lattice density functionals close to the Mott regime
• Current Density Functional Theory for one-dimensional fermions
• Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
• The dark side of DFT based transport calculations
• Hard-Wall and Non-Uniform Lattice Monte Carlo Approaches to One-Dimensional Fermi Gases in a Harmonic Trap
• Non-equilibrium transport through a model quantum dot: Hartree-Fock approximation and beyond
• Inverse Mean Field Theory
• Friedel oscillations of one-dimensional correlated fermions from perturbation theory and density functional theory