Random-Phase-Approximation Correlation Energy in Metallic Hydrogen Using Hartree-Fock Bloch Functions

Abstract
Correlation energies for simple-cubic metallic hydrogen are calculated using random-phase-approximation (RPA) methods. Hartree-Fock Bloch functions for the real lattice, including those for excited bands, were used as zeroth-order states. About 60% of the RPA correlation energy originates from intraband excitations. The RPA correlation energy, including exchange, is estimated to be about - 0.024 hartree/electron near the Hartree-Fock equilibrium, leading to a total energy of about -0.490 hartree/atom.