Properties of Hartree-Fock solutions of the three-dimensional electron gas

Abstract

In a previous letter, L. Baguet et al., (Phys. Rev. Lett. {\bf 111}, 166402 (2013)), we presented the ground state phase diagram of the homogeneous electron gas in three dimensions within the Hartree-Fock approximation yielding incommensurate crystal states at high density. Here, we analyze the properties of these solutions. In particular, at high density we find universal behavior of the incommensurate crystal strongly supporting the existence of a spin density wave ground state.

arXiv comment9 pages, 9 Figures

References in corpus (9)

• High-throughput electronic band structure calculations: challenges and tools
• Momentum Distribution and Renormalization Factor in Sodium and the Electron Gas
• Unrestricted Hartree-Fock theory of Wigner crystals
• The Hartree-Fock ground state of the three-dimensional electron gas
• The Hartree-Fock phase diagram of the two-dimensional electron gas
• Hartree-Fock Ground State Phase Diagram of Jellium
• Metal-insulator transition in the Hartree-Fock phase diagram of the fully polarized homogeneous electron gas in two dimensions
• Metal-insulator transition in the two-dimensional fully polarized homogeneous electron gas from Hartree-Fock solutions
• Non-collinear spin-spiral phase for the uniform electron gas within Reduced-Density-Matrix-Functional Theory

Cited by in corpus (8)

• Lower Bound on the Hartree-Fock Energy of the Electron Gas
• Upper bounds of spin-density wave energies in the homogeneous electron gas
• FFLO order in ultra-cold atoms in three-dimensional optical lattices
• Symmetry-broken local-density approximation for one-dimensional systems
• Excited-State Wigner Crystals in One Dimension
• Charge Density Waves in a Quantum Plasma
• Pseudospin density wave instability in two-dimensional electron bilayers
• Positive-density ground states of the Gross-Pitaevskii equation