A new generalized Kohn-Sham method for fundamental band-gaps in solids
We developed a method for calculating solid-state ground-state properties and fundamental band-gaps using a generalized Kohn-Sham approach combining a local density approximation (LDA) functional with a long-range explicit exchange orbital functional. We found that when the range parameter is select...
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description | We developed a method for calculating solid-state ground-state properties and fundamental band-gaps using a generalized Kohn-Sham approach combining a local density approximation (LDA) functional with a long-range explicit exchange orbital functional. We found that when the range parameter is selected according to the formula \gamma=A/(\eps_\inf - \eps_\tilde) where \eps_\inf is the optical dielectric constant of the solid and \eps_\tilde= 0.84 and A= 0.216a0^(-1), predictions of the fundamental band-gap close to the experimental values are obtained for a variety of solids of different types. For most solids the range parameter \gamma is small (i.e. explicit exchange is needed only at long distances) so the predicted values for lattice constants and bulk modulii are similar to those based on conventional LDA calculations. |
doi_str_mv | 10.48550/arxiv.0903.3830 |
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We found that when the range parameter is selected according to the formula \gamma=A/(\eps_\inf - \eps_\tilde) where \eps_\inf is the optical dielectric constant of the solid and \eps_\tilde= 0.84 and A= 0.216a0^(-1), predictions of the fundamental band-gap close to the experimental values are obtained for a variety of solids of different types. For most solids the range parameter \gamma is small (i.e. explicit exchange is needed only at long distances) so the predicted values for lattice constants and bulk modulii are similar to those based on conventional LDA calculations.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.0903.3830</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Energy gap ; Exchanging ; Lattice parameters ; Mathematical analysis ; Physics - Materials Science ; Predictions</subject><ispartof>arXiv.org, 2009-03</ispartof><rights>2009. 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For most solids the range parameter \gamma is small (i.e. explicit exchange is needed only at long distances) so the predicted values for lattice constants and bulk modulii are similar to those based on conventional LDA calculations.</description><subject>Energy gap</subject><subject>Exchanging</subject><subject>Lattice parameters</subject><subject>Mathematical analysis</subject><subject>Physics - Materials Science</subject><subject>Predictions</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotjz1PwzAURS0kJKrSnQlZYk559osTZ6wqCohKDHSPXmK7SZU4xW75-vWklOkuR_few9iNgHmqlYJ7Cl_txxwKwDlqhAs2kYgi0amUV2wW4w4AZJZLpXDCVgvu7SffWm8Dde2PNfxlaHzy1lDPe3toBsPdELg7ekO99QfqeEXeJFvaR956HoeuNfGaXTrqop3955RtVg-b5VOyfn18Xi7WCSkBia1SzFUKMrVVjTXIStdCaFJFpTPKZG5qI1DmNq9Q6qwwDpwhdMapWjiyOGW359o_x3If2p7Cd3lyLU-uI3B3BvZheD_aeCh3wzH48VIpIc-kGOcAfwFnBVaI</recordid><startdate>20090323</startdate><enddate>20090323</enddate><creator>Eisenberg, Helen R</creator><creator>Baer, Roi</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20090323</creationdate><title>A new generalized Kohn-Sham method for fundamental band-gaps in solids</title><author>Eisenberg, Helen R ; Baer, Roi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a510-eb43754024ebc3c02b8c118a59b86a627dcd1327e7b32869df0fda3fdf5c1fae3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Energy gap</topic><topic>Exchanging</topic><topic>Lattice parameters</topic><topic>Mathematical analysis</topic><topic>Physics - Materials Science</topic><topic>Predictions</topic><toplevel>online_resources</toplevel><creatorcontrib>Eisenberg, Helen R</creatorcontrib><creatorcontrib>Baer, Roi</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Eisenberg, Helen R</au><au>Baer, Roi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A new generalized Kohn-Sham method for fundamental band-gaps in solids</atitle><jtitle>arXiv.org</jtitle><date>2009-03-23</date><risdate>2009</risdate><eissn>2331-8422</eissn><abstract>We developed a method for calculating solid-state ground-state properties and fundamental band-gaps using a generalized Kohn-Sham approach combining a local density approximation (LDA) functional with a long-range explicit exchange orbital functional. 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subjects | Energy gap Exchanging Lattice parameters Mathematical analysis Physics - Materials Science Predictions |
title | A new generalized Kohn-Sham method for fundamental band-gaps in solids |
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