The Hartree-Fock phase diagram of the two-dimensional electron gas

Abstract

We calculate the ground state phase diagram of the homogeneous electron gas in two dimensions within the Hartree-Fock approximation. At high density, we find stable solutions, where the electronic charge and spin density form an incommensurate crystal having more crystal sites than electrons, whereas the commensurate Wigner crystal is favored at lower densities, rs> 1.22. Our explicit calculations demonstrate that the homogeneous Fermi liquid state -- though being an exact stationary solution of the Hartree-Fock equations -- is never the Hartree-Fock ground state of the electron gas.

9 pages, 8 figures

References in corpus (13)

• Momentum Distribution and Renormalization Factor in Sodium and the Electron Gas
• Hexatic and mesoscopic phases in the 2D quantum Coulomb system
• Exchange Frequencies in the 2d Wigner crystal
• The momentum distribution of the homogeneous electron gas
• Unrestricted Hartree-Fock theory of Wigner crystals
• Renormalization factor and effective mass of the two-dimensional electron gas
• Hybrid phase at the quantum melting of the Wigner crystal
• The Hartree-Fock ground state of the three-dimensional electron gas
• Anatomy of the quantum melting of the two dimensional Wigner crystal
• Metal-insulator transition in the two-dimensional fully polarized homogeneous electron gas from Hartree-Fock solutions
• Metal-insulator transition in the Hartree-Fock phase diagram of the fully polarized homogeneous electron gas in two dimensions
• The Magnetic Ordering of the 3d Wigner Crystal
• Ground state of a quasi-two-dimensional electron gas

Cited by in corpus (14)

• Competing correlated states around the zero field Wigner crystallization transition of electrons in two-dimensions
• Stability of Anomalous Hall Crystals in multilayer rhombohedral graphene
• Lower Bound on the Hartree-Fock Energy of the Electron Gas
• Hartree-Fock Ground State Phase Diagram of Jellium
• Ground state phases of the two-dimension electron gas with a unified variational approach
• Properties of Hartree-Fock solutions of the three-dimensional electron gas
• Upper bounds of spin-density wave energies in the homogeneous electron gas
• Symmetry-broken local-density approximation for one-dimensional systems
• Excited-State Wigner Crystals in One Dimension
• Phase diagram of the interacting persistent spin-helix state
• Charge Density Waves in a Quantum Plasma
• Full, three-quarter, half and quarter Wigner crystals in Bernal bilayer graphene
• Elementary Excitations, Melting Temperature, and Correlation Energy in Wigner Crystals
• Positive-density ground states of the Gross-Pitaevskii equation