107 citations · 162 across the 11 of their papers we have counts for
12 papers
Single reference treatment of strongly correlated H and H isomers with Richardson-Gaudin states
Paul A. Johnson, A. Eugene DePrince
Richardson-Gaudin (RG) states are employed as a variational wavefunction ansatz for strongly correlated isomers of H and H. In each case a single RG state describes the…
Reduced Density Matrices / Static Correlation Functions of Richardson-Gaudin States Without Rapidities
Alexandre Faribault, Claude Dimo, Jean-David Moisset +1
Seniority-zero geminal wavefunctions are known to capture bond-breaking correlation. Among this class of wavefunctions, Richardson-Gaudin states stand out as they are eigenvectors…
Bivariational Principle for an Antisymmetrized Product of Nonorthogonal Geminals Appropriate for Strong Electron Correlation
Paul A. Johnson, Paul W. Ayers, Stijn De Baerdemacker +2
We develop a bivariational principle for an antisymmetric product of nonorthogonal geminals. Special cases reduce to the antisymmetric product of strongly-orthogonal geminals (APSG…
Near-exact treatment of seniority-zero ground and excited states with a Richardson-Gaudin mean-field
Charles-Émile Fecteau, Samuel Cloutier, Jean-David Moisset +4
Eigenvectors of the reduced Bardeen-Cooper-Schrieffer Hamiltonian, Richardson-Gaudin (RG) states, are used as a variational wavefunction Ansatz for strongly-correlated electronic s…
Density Matrices of Seniority-Zero Geminal Wavefunctions
Jean-David Moisset, Charles-Émile Fecteau, Paul A. Johnson
Scalar products and density matrix elements of closed-shell pair geminal wavefunctions are evaluated directly in terms of the pair amplitudes, resulting in an analogue of Wick's th…
Perturbative corrections for Hartree-Fock-like Algebraic Bethe Ansatz analogue
Jean-David Moisset, Laurie Carrier, Paul A. Johnson
Rayleigh Schrödinger perturbation theory corrections are developed for an algebraic Bethe ansatz of individual electrons. Numerical results are ambiguous and would need either an o…
Transition density matrices of Richardson-Gaudin states
Paul A. Johnson, Hubert Fortin, Samuel Cloutier +1
Recently, ground state eigenvectors of the reduced Bardeen-Cooper-Schrieffer Hamiltonian, Richardson-Gaudin (RG) states, have been employed as a wavefunction ansatz for strong corr…
Richardson-Gaudin geminal wavefunctions in a Slater determinant basis
Charles-Émile Fecteau, Frédéric Berthiaume, Meriem Khalfoun +1
Geminal wavefunctions have been employed to model strongly-correlated electrons. These wavefunctions represent products of weakly-correlated pairs of electrons and reasonable appro…
Reduced density matrices of Richardson-Gaudin states in the Gaudin algebra basis
Charles-Émile Fecteau, Hubert Fortin, Samuel Cloutier +1
Eigenvectors of the reduced Bardeen-Cooper-Schrieffer Hamiltonian have recently been employed as a variational wavefunction ansatz in quantum chemistry. This wavefunction is a mean…
Richardson-Gaudin mean-field for strong correlation in quantum chemistry
P. A. Johnson, C. -É. Fecteau, F. Berthiaume +8
Ground state eigenvectors of the reduced Bardeen-Cooper-Schrieffer Hamiltonian are employed as a wavefunction ansatz to model strong electron correlation in quantum chemistry. This…
Projected seniority-two orbital optimization of the Antisymmetric Product of one-reference orbital Geminal
Katharina Boguslawski, Paweł Tecmer, Peter A. Limacher +5
We present a new, non-variational orbital-optimization scheme for the Antisymmetric Product of one-reference orbital Geminal wave function. Our approach is motivated by the observa…
Probing pairing correlations in Sn isotopes using Richardson-Gaudin integrability
Stijn De Baerdemacker, Veerle Hellemans, Rianne van den Berg +5
Pairing correlations in the even-even A=102-130 Sn isotopes are discussed, based on the Richardson-Gaudin variables in an exact Woods-Saxon plus reduced BCS pairing framework. The…