1-matrix functional for long-range interaction energy of two hydrogen atoms

Abstract

The leading terms in the large-$R$ asymptotics of the functional of the one-electron reduced density matrix for the ground-state energy of the H${}_2$ molecule with the internuclear separation $R$ is derived thanks to the solution of the phase dilemma at the $R\to \infty$ limit. At this limit, the respective natural orbitals (NOs) are given by symmetric and antisymmetric combinations of "half-space" orbitals with the corresponding natural amplitudes of the same amplitudes but opposite signs. Minimization of the resulting explicit functional yields the large-$R$ asymptotics for the occupation numbers of the weakly occupied NOs and the $C_6$ dispersion coefficient. The highly accurate approximates for the radial components of the $p$-type "half-space" orbitals and the corresponding occupation numbers (that decay like $R^{-6}$), which are available for the first time thanks to the development of the present formalism, have some unexpected properties.

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References in corpus (8)

• Relating the pure and ensemble density matrix functional
• Foundation of one-particle reduced density matrix functional theory for excited states
• Singling Out Dynamic and Nondynamic Correlation
• Reduced Density Matrix Functional Theory for Bosons
• An exact one-particle theory of bosonic excitations: From a generalized Hohenberg-Kohn theorem to convexified N-representability
• Salient Signature of van der Waals Interactions
• A variational approach to London dispersion interactions without density distortion
• The Van der Waals interaction of the hydrogen molecule - an exact local energy density functional

Cited by in corpus (6)

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• Softmax parameterization of the occupation numbers for natural orbital functionals based on electron pairing approaches
• Variational minimization scheme for the one-particle reduced density matrix functional theory in the ensemble N-representability domain
• Extracting Many-Body Quantum Resources within One-Body Reduced Density Matrix Functional Theory
• Orbital-Free Quasi-Density Functional Theory
• Capturing electron correlation at mean-field cost: Assessment of i-DMFT and the underlying correlation conjecture