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Durham University

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Publication details for Prof. David J. Tozer

Sharpe, Daniel J., Levy, Mel & Tozer, David J. (2018). Approximating the Shifted Hartree-Exchange-Correlation Potential in Direct Energy Kohn–Sham Theory. Journal of Chemical Theory and Computation 14(2): 684–692.

Author(s) from Durham


Levy and Zahariev [Phys. Rev. Lett. 113 113002 (2014)] have proposed a new approach for performing density functional theory calculations, termed direct energy Kohn–Sham (DEKS) theory. In this approach, the electronic energy equals the sum of orbital energies, obtained from Kohn–Sham-like orbital equations involving a shifted Hartree-exchange-correlation potential, which must be approximated. In the present study, density scaling homogeneity considerations are used to facilitate DEKS calculations on a series of atoms and molecules, leading to three nonlocal approximations to the shifted potential. The first two rely on preliminary Kohn–Sham calculations using a standard generalized gradient approximation (GGA) exchange-correlation functional and the results illustrate the benefit of describing the dominant Hartree component of the shift exactly. A uniform electron gas analysis is used to eliminate the need for these preliminary Kohn–Sham calculations, leading to a potential with an unconventional form that yields encouraging results, providing strong motivation for further research in DEKS theory.