2D electron gas at arbitrary spin polarizations and coupling strengths: Exchange-correlation energies, distribution functions, and spin-polarized phases - art. no. 206404

We use the classical mapping of quantum fluids [Phys. Rev. Lett. 84, 959 (2 000)] for a study of the uniform 2D electron gas. The "quantum temperature" T-q of the classical 2D Coulomb fluid having the same correlation energy E -c as the quantum fluid is determined as a function of the density paramete r r(s). Using this T-q, spin-dependent pair-distribution functions are dete rmined, and an analytic fit to the E-c is given. The T-q for 2D and 3D elec tron fluids is found to be approximately the same universal function of the classical coupling constant Gamma. The coupling Gamma increases more rapid ly with density in 2D; hence, we present a scheme for including bridge term s in the 2D hypernetted-chain method. The Helmholtz free energies of the sp in-polarized and unpolarized phases are calculated, and the existence of a ferromagnetic phase near r(s) similar to 30 is found to be a marginal possi bility.