$H_2$ and $(H_2{)}_2$ molecules with an ab initio optimization of wave functions in correlated state: Electron-proton couplings and intermolecular microscopic parameters

Abstract

The hydrogen molecules $H_2$ and $(H_2{)}_2$ are analyzed with electronic correlations taken into account between the $1s$ electrons exactly. The optimal single-particle Slater orbitals are evaluated in the correlated state of $H_2$ by combining their variational determination with the diagonalization of the full Hamiltonian in the second-quantization language. All electron--ion coupling constants are determined explicitly and their relative importance is discussed. Sizable zero-point motion amplitude and the corresponding energy are then evaluated by taking into account the anharmonic contributions up to the ninth order in the relative displacement of the ions from their static equilibrium value. The applicability of the model to the solid molecular hydrogen is briefly analyzed by calculating intermolecular microscopic parameters for $2\times H_2$ rectangular configurations.

arXiv comment14 pages, 14 figures, 6 tables

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• Pairwise entanglement and the Mott transition for correlated electrons in nanochains
• Discontinuous transition of molecular-hydrogen chain to the quasi-atomic state: Exact diagonalization - ab initio approach
• Cavity Spectroscopy for Strongly Correlated Systems
• Metallization of solid molecular hydrogen in two dimensions: Mott-Hubbard-type transition
• Characteristics of the Eliashberg formalism on the example of high-pressure superconducting state in phosphor