All-electron formalism for total energy strain derivatives and stress tensor components for numeric atom-centered orbitals

Published

Journal Article

© 2015 Elsevier B.V. All rights reserved. We derive and implement the strain derivatives of the total energy of solids, i.e., the analytic stress tensor components, in an all-electron, numeric atom-centered orbital based density-functional formalism. We account for contributions that arise in the semi-local approximation (LDA/GGA) as well as in the generalized Kohn-Sham case, in which a fraction of exact exchange (hybrid functionals) is included. In this work, we discuss the details of the implementation including the numerical corrections for sparse integrations grids which allow to produce accurate results. We validate the implementation for a variety of test cases by comparing to strain derivatives performed via finite differences. Additionally, we include the detailed definition of the overlapping atom-centered integration formalism used in this work to obtain total energies and their derivatives.

Full Text

Duke Authors

Cited Authors

  • Knuth, F; Carbogno, C; Atalla, V; Blum, V; Scheffler, M

Published Date

  • January 1, 2015

Published In

Volume / Issue

  • 190 /

Start / End Page

  • 33 - 50

International Standard Serial Number (ISSN)

  • 0010-4655

Digital Object Identifier (DOI)

  • 10.1016/j.cpc.2015.01.003

Citation Source

  • Scopus