Ultranonlocality and accurate band gaps from a meta-generalized gradient approximation

The proper description of step structures in the exchange correlation potential, of charge localization, and a reasonable prediction of band gaps have been long-standing, serious challenges for semilocal density functionals. In practice, obtaining all of these properties from the functional derivati...

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Bibliographic Details
Main Authors: Thilo Aschebrock, Stephan Kümmel
Format: Article
Language:English
Published: American Physical Society 2019-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.1.033082
Description
Summary:The proper description of step structures in the exchange correlation potential, of charge localization, and a reasonable prediction of band gaps have been long-standing, serious challenges for semilocal density functionals. In practice, obtaining all of these properties from the functional derivative of an energy functional was possible only at the price of incorporating exact exchange. We here show that they can be achieved at significantly lower, semilocal computational expense by using kinetic-energy density-dependent functionals. The key to obtaining these features is a functional construction strategy that focuses on the derivative discontinuity and the density response.
ISSN:2643-1564