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Proper and improper zero energy modes in Hartree-Fock theory and their relevance for symmetry breaking and restoration
Yao Cui, Ireneusz W. Bulik, Carlos A. Jimenez-Hoyos +2
We study the spectra of the molecular orbital Hessian (stability matrix) and random-phase approximation Hamiltonian of broken-symmetry Hartree-Fock solutions, focusing on zero eige…
Coupled Cluster Channels in the Homogeneous Electron Gas
James J. Shepherd, Thomas. M. Henderson, Gustavo E. Scuseria
We discuss diagrammatic modifications to the coupled cluster doubles (CCD) equations, wherein different groups of terms out of rings, ladders, crossed-rings and mosaics can be remo…
Range Separated Brueckner Coupled Cluster Doubles Theory
James J. Shepherd, Thomas M. Henderson, Gustavo E. Scuseria
We introduce a range-separation approximation to coupled cluster doubles (CCD) theory that successfully overcomes limitations of regular CCD when applied to the uniform electron ga…
Particle-particle and quasiparticle random phase approximations: Connections to coupled cluster theory
Gustavo E. Scuseria, Thomas M. Henderson, Ireneusz W. Bulik
We establish a formal connection between the particle-particle (pp) random phase approximation (RPA) and the ladder channel of the coupled cluster doubles (CCD) equations. The rela…