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Updated: May 27, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Prediction of the derivative discontinuity in density functional theory from an electrostatic description of the
Xavier Andrade1, Alán Aspuru-Guzik
1Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, Massachusetts 02138, USA. xavier@tddft.org
Abstract:
We propose an approach to approximate the exchange and correlation (XC) term in density functional theory. The XC potential is considered as an electrostatic potential, generated by a fictitious XC density, which is in turn a functional of the electronic density. We apply the approach to develop a correction scheme that fixes the asymptotic behavior of any approximated XC potential for finite systems. Additionally, the correction procedure gives the value of the XC derivative discontinuity; therefore, it can directly predict the fundamental gap as a ground-state property.
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