Fully analytic valence force field model for the elastic and inner elastic properties of diamond and zincblende crystals

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dc.contributor.authorTanner, Daniel S. P.
dc.contributor.authorCaro, Miguel A.
dc.contributor.authorSchulz, Stefan
dc.contributor.authorO'Reilly, Eoin P.
dc.contributor.funderScience Foundation Irelanden
dc.contributor.funderSeventh Framework Programmeen
dc.date.accessioned2019-10-24T11:08:02Z
dc.date.available2019-10-24T11:08:02Z
dc.date.issued2019-09-30
dc.date.updated2019-10-24T09:18:26Z
dc.description.abstractUsing a valence force field model based on that introduced by Martin, we present three related methods through which we analytically determine valence force field parameters. The methods introduced allow easy derivation of valence force field parameters in terms of the Kleinman parameter ζ and bulk properties of zincblende and diamond crystals. We start with a model suited for covalent and weakly ionic materials, where the valence force field parameters are derived in terms of ζ and the bulk elastic constants C11, C12, and C44. We show that this model breaks down as the material becomes more ionic and specifically when the elastic anisotropy factor A=2C44/(C11−C12)>2. The analytic model can be stabilized for ionic materials by including Martin's electrostatic terms with effective cation and anion charges in the valence force field model. Inclusion of effective charges determined via the optical phonon mode splitting provides a stable model for all but two of the materials considered (zincblende GaN and AlN). A stable model is obtained for all materials considered by also utilizing the inner elastic constant E11 to determine the magnitude of the effective charges used in the Coulomb interaction. Test calculations show that the models describe well structural relaxation in superlattices and alloys and reproduce key phonon band structure features.en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid094112en
dc.identifier.citationTanner, D. S. P., Caro, M. A., Schulz, S. and O'Reilly, E. P. (2019) 'Fully analytic valence force field model for the elastic and inner elastic properties of diamond and zincblende crystals', Physical Review B, 100(9), 094112, (14pp). doi: 10.1103/PhysRevB.100.094112en
dc.identifier.doi10.1103/PhysRevB.100.094112en
dc.identifier.eissn2469-9969
dc.identifier.endpage14en
dc.identifier.issn2469-9950
dc.identifier.issued9en
dc.identifier.journaltitlePhysical Review Ben
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/8852
dc.identifier.volume100en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.projectinfo:eu-repo/grantAgreement/SFI/SFI Investigator Programme/15/IA/3082/IE/Multiscale Simulation and Analysis of emerging Group IV and III-V Semiconductor Materials and Devices/en
dc.relation.projectinfo:eu-repo/grantAgreement/SFI/SFI Starting Investigator Research Grant (SIRG)/13/SIRG/2210/IE/Shaping the electronic and optical properties of non- and semi-polar nitride-based semiconductor nanostructures/en
dc.relation.projectinfo:eu-repo/grantAgreement/EC/FP7::SP1::NMP/604416/EU/From atom-to-Device Explicit simulation Environment for Photonics and Electronics Nanostructures/DEEPENen
dc.relation.urihttps://link.aps.org/doi/10.1103/PhysRevB.100.094112
dc.rights© 2019, American Physical Society. All rights reserved.en
dc.subjectValence force field parametersen
dc.subjectStructural relaxationen
dc.subjectSuperlatticesen
dc.subjectAlloysen
dc.subjectPhonon band structureen
dc.titleFully analytic valence force field model for the elastic and inner elastic properties of diamond and zincblende crystalsen
dc.typeArticle (peer-reviewed)en
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