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Correlated Dirac–Coulomb–Breit multiconfigurational self-consistent-field methods

Chad E. Hoyer, Lixin Lu, Hang Hu, Kirill D. Shumilov, Shichao Sun, Stefan Knecht, Xiaosong Li

2023The Journal of Chemical Physics19 citationsDOIOpen Access PDF

Abstract

The fully correlated frequency-independent Dirac-Coulomb-Breit Hamiltonian provides the most accurate description of electron-electron interaction before going to a genuine relativistic quantum electrodynamics theory of many-electron systems. In this work, we introduce a correlated Dirac-Coulomb-Breit multiconfigurational self-consistent-field method within the frameworks of complete active space and density matrix renormalization group. In this approach, the Dirac-Coulomb-Breit Hamiltonian is included variationally in both the mean-field and correlated electron treatment. We also analyze the importance of the Breit operator in electron correlation and the rotation between the positive- and negative-orbital space in the no-virtual-pair approximation. Atomic fine-structure splittings and lanthanide contraction in diatomic fluorides are used as benchmark studies to understand the contribution from the Breit correlation.

Topics & Concepts

PhysicsCoulombDirac (video compression format)Field (mathematics)Quantum electrodynamicsQuantum mechanicsMathematicsElectronPure mathematicsNeutrinoMagnetic properties of thin filmsAdvanced Chemical Physics StudiesMatrix Theory and Algorithms
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