Non-collinear spin-spiral phase for the uniform electron gas within Reduced-Density-Matrix-Functional Theory

Abstract

The non-collinear spin-spiral density wave of the uniform electron gas is studied in the framework of Reduced-Density-Matrix-Functional Theory. For the Hartree-Fock approximation, which can be obtained as a limiting case of Reduced-Density-Matrix-Functional Theory, Overhauser showed a long time ago that the paramagnetic state of the electron gas is unstable with respect to the formation of charge or spin density waves. Here we not only present a detailed numerical investigation of the spin-spiral density wave in the Hartree-Fock approximation but also investigate the effects of correlations on the spin-spiral density wave instability by means of a recently proposed density-matrix functional.

9 pages, 10 figures

References in corpus (7)

• Reduced Density Matrix Functional for Many-Electron Systems
• Density-Matrix-Power Functional: Performance for Finite Systems and the Homogeneous Electron Gas
• Empirical Functionals for Reduced Density Matrix Functional Theory
• Performance of one-body reduced density matrix functionals for the homogeneous electron gas
• Unrestricted Hartree-Fock theory of Wigner crystals
• The Hartree-Fock ground state of the three-dimensional electron gas
• Overhauser's spin-density wave in exact-exchange spin density functional theory

Cited by in corpus (7)

• Different dimensionality trends in the Landau damping of magnons in iron, cobalt and nickel: time dependent density functional study
• Transverse and longitudinal gradients of the spin magnetization in Spin-Density-Functional Theory
• Ionization potentials and electron affinities from reduced density matrix functional theory
• Properties of Hartree-Fock solutions of the three-dimensional electron gas
• Upper bounds of spin-density wave energies in the homogeneous electron gas
• First-principles perspective on magnetic second sound
• Pseudospin density wave instability in two-dimensional electron bilayers