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We investigate the existence of holomorphic Hartree-Fock solutions using arevised SCF algorithm. We use this algorithm to study the Hartree-Focksolutions for H$_{2}$ and H$_{4}^{2+}$ and report the emergence of holomorphicsolutions at points of symmetry breaking. Finally, we find these holomorphicsolutions for H$_{4}$ and use them as a basis for Non-Orthogonal ConfigurationInteraction at a range of rectangular geometries and show them to produceenergies in good agreement with Full Configuration Interaction.

Holomorphic Hartree-Fock theory: an inherently multireference approach