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Fractional Charge Methods For Correcting Approximate Kohn-Sham Potentials, Darya N. Komsa
Fractional Charge Methods For Correcting Approximate Kohn-Sham Potentials, Darya N. Komsa
Electronic Thesis and Dissertation Repository
The Kohn-Sham density functional theory relies on approximating the exchange-correlation energy functional or the corresponding potential. The behavior of the exchange-correlation potential as a function of position in a system can be used to detect and correct deficiencies of the parent functional. The too-fast decay of the potentials derived from common density functionals is a major problem, because it causes inaccurate Rydberg excitation energies and erroneous fractional charges in dissociating molecules. An efficient method to correct the shape of the exchange-correlation potential was proposed by Gaiduk et al. [A. P. Gaiduk, D. S. Firaha, and V. N. Staroverov, Phys. Rev. …
Theory Of Model Kohn-Sham Potentials And Its Applications, Alex P. Gaiduk
Theory Of Model Kohn-Sham Potentials And Its Applications, Alex P. Gaiduk
Electronic Thesis and Dissertation Repository
The purpose of Kohn-Sham density functional theory is to develop increasingly accurate approximations to the exchange-correlation functional or to the corresponding potential. When one chooses to approximate the potential, the resulting model must be integrable, that is, a functional derivative of some density functional. Non-integrable potentials produce unphysical results such as energies that are not translationally or rotationally invariant. The thesis introduces methods for constructing integrable model potentials, developing properly invariant energy functionals from model potentials, and designing model potentials that yield accurate electronic excitation energies. Integrable potentials can be constructed using powerful analytic integrability conditions derived in this work. …