Uniform electron gases

Abstract

We show that the traditional concept of the uniform electron gas (UEG) --- a homogeneous system of finite density, consisting of an infinite number of electrons in an infinite volume --- is inadequate to model the UEGs that arise in finite systems. We argue that, in general, a UEG is characterized by at least two parameters, \textit{viz.} the usual one-electron density parameter $\rho$ and a new two-electron parameter $\eta$. We outline a systematic strategy to determine a new density functional $E(\rho ,\eta )$ across the spectrum of possible $\rho$ and $\eta$ values.

8 pages, 2 figures, 5 tables

References in corpus (22)

• Climbing the Density Functional Ladder: Non-Empirical Meta-Generalized Gradient Approximation Designed for Molecules and Solids
• Correlation energy and spin polarization in the 2D electron gas
• Jastrow correlation factor for atoms, molecules, and solids
• Zero Temperature Phases of the Electron Gas
• Effects of Backflow Correlation in the Three-Dimensional Electron Gas: Quantum Monte Carlo Study
• Finite-size errors in continuum quantum Monte Carlo calculations
• Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
• Spin Polarization of the Low Density 3D Electron Gas
• Two electrons on a hypersphere: a quasi-exactly solvable model
• Structure of fermion nodes and nodal cells
• Ground state of two electrons on a sphere
• Pair-distribution functions of the two-dimensional electron gas
• Excited states of spherium
• Quantum Monte Carlo study of the ground state of the two-dimensional Fermi fluid
• Correlation energy of two electrons in the high-density limit
• Invariance of the correlation energy at high density and large dimension in two-electron systems
• Hooke's law correlation in two-electron systems
• Thinking outside the box: the uniform electron gas on a hypersphere
• A Tale of Two Electrons: Correlation at High Density
• Ground state of two electrons on concentric spheres
• Exact energy of the spin-polarized two-dimensional electron gas at high density
• Spin-resolved second-order correlation energy of the two-dimensional uniform electron gas

Cited by in corpus (19)

• The Fermion Sign Problem in Path Integral Monte Carlo Simulations: Quantum Dots, Ultracold Atoms, and Warm Dense Matter
• Explicitly correlated plane waves: Accelerating convergence in periodic wavefunction expansions
• Path Integral Monte Carlo Simulation of Degenerate Electrons: Permutation-Cycle Properties
• Deviations from piecewise linearity in the solid-state limit with approximate density functionals
• Unphysical Discontinuities in GW Methods
• Green functions and self-consistency: insights from the spherium model
• A weight-dependent local correlation density-functional approximation for ensembles
• Uniform electron gases. I. Electrons on a ring
• Weight Dependence of Local Exchange-Correlation Functionals in Ensemble Density-Functional Theory: Double Excitations in Two-Electron Systems
• Uniform Electron Gases. II. The Generalized Local Density Approximation in One Dimension
• Exchange functionals based on finite uniform electron gases
• Generalized local-density approximation and one-dimensional finite uniform electron gases
• Nodal surfaces and interdimensional degeneracies
• Uniform electron gases: III. Low-density gases on three-dimensional spheres
• Basis-set correction based on density-functional theory: Rigorous framework for a one-dimensional model
• Basis functions for electronic structure calculations on spheres
• Harmonically trapped jellium
• Exact wave functions for concentric two-electron systems
• Transient Uniform Electron Gases