Spin-resolved second-order correlation energy of the two-dimensional uniform electron gas

Abstract

For the two-dimensional electron gas, the exact high-density limit of the correlation energy is evaluated here numerically for all values of the spin polarization. The result is spin-resolved into $\uparrow \uparrow$, $\uparrow \downarrow$, and $\downarrow \downarrow$ contributions and parametrized analytically. Interaction-strength interpolation yields a simple model (LSD) for the correlation energy at finite densities.

5 pages, 2 figures

References in corpus (4)

• Correlation energy and spin polarization in the 2D electron gas
• Testing of two-dimensional local approximations in the current-spin and spin-density-functional theories
• Spin Resolution of the Electron-Gas Correlation Energy: Positive same-spin contribution
• Local field factors in a polarized two-dimensional electron gas

Cited by in corpus (9)

• Uniform electron gases
• Thinking outside the box: the uniform electron gas on a hypersphere
• High-density correlation energy expansion of the one-dimensional uniform electron gas
• Uniform Electron Gases. II. The Generalized Local Density Approximation in One Dimension
• Correlation energy in a spin polarized two dimensional electron liquid in the high density limit
• Exact energy of the spin-polarized two-dimensional electron gas at high density
• Analytic approach to the ground-state energy of charged anyon gases
• Symmetry-broken local-density approximation for one-dimensional systems
• The two-dimensional homogeneous electron gas with symmetric dual-gate screening: exchange-correlation functional and other ground-state properties