Exact energy of the spin-polarized two-dimensional electron gas at high density

Abstract

We derive the exact expansion, to $O(r_s)$, of the energy of the high-density spin-polarized two-dimensional uniform electron gas, where $r_s$ is the Seitz radius.

arXiv comment7 pages, 1 figure and 1 table, submitted to Phys. Rev. B

References in corpus (6)

• Metallic behavior and related phenomena in two dimensions
• The Statistical Theory of Quantum Dots
• Correlation energy and spin polarization in the 2D electron gas
• Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
• Correlation energy in a spin polarized two dimensional electron liquid in the high density limit
• Spin-resolved second-order correlation energy of the two-dimensional uniform electron gas

Cited by in corpus (10)

• Uniform electron gases. I. Electrons on a ring
• 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
• Exchange functionals based on finite uniform electron gases
• Nodal surfaces and interdimensional degeneracies
• Functional-renormalization-group aided density-functional analysis for the correlation energy of the two-dimensional homogeneous electron gas
• Symmetry-broken local-density approximation for one-dimensional systems
• Theory of Coulomb driven nematicity in a multi-valley two-dimensional electron gas