{"id":444,"date":"2016-11-14T15:36:33","date_gmt":"2016-11-14T13:36:33","guid":{"rendered":"http:\/\/bela.phy.hr\/quantixlie\/?p=444"},"modified":"2016-12-24T19:22:04","modified_gmt":"2016-12-24T17:22:04","slug":"ab-initio-study-of-electronic-excitations-and-the-dielectric-function-in-molybdenum-disulfide-monolayer","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/hr\/ab-initio-study-of-electronic-excitations-and-the-dielectric-function-in-molybdenum-disulfide-monolayer\/","title":{"rendered":"Ab initio study of electronic excitations and the dielectric function in molybdenum disulfide monolayer"},"content":{"rendered":"<p><\/p>\n<p style=\"text-align: justify;\">ABSTRSCT: The propagator of the induced dynamically screened Coulomb interaction <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/7c\/ql_2958f0864ff45da2403842b74c40ec7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#87;&#94;&#123;&#105;&#110;&#100;&#125;&#32;&#40;&#81;&#44;&#92;&#111;&#109;&#101;&#103;&#97;&#32;&#44;&#122;&#44;&#122;&#32;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"120\" style=\"vertical-align: -5px;\"\/> is calculated for the <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/dd\/ql_f0c839409520891b5e10848c7e2e03dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#77;&#111;&#83;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"46\" style=\"vertical-align: -3px;\"\/> monolayer. The energy-loss rate of a point charge placed near the <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/dd\/ql_f0c839409520891b5e10848c7e2e03dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#77;&#111;&#83;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"46\" style=\"vertical-align: -3px;\"\/> monolayer is calculated (using the spatial resolution of the <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/e0\/ql_da3aa7720b827d8ce7c0341aa49762e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#87;&#94;&#123;&#105;&#110;&#100;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: 0px;\"\/> in the direction perpendicular to the <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/dd\/ql_f0c839409520891b5e10848c7e2e03dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#77;&#111;&#83;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"46\" style=\"vertical-align: -3px;\"\/> plane) and successfully compared with very recent electron-energy-loss spectroscopy measurements of Hong et al. [ <em>J. Hong et al., Phys. Rev. B 93, 075440 (2016)<\/em> ]. The induced propagator <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/e0\/ql_da3aa7720b827d8ce7c0341aa49762e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#87;&#94;&#123;&#105;&#110;&#100;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: 0px;\"\/> , compared with its classical analogous propagator, is used to determine the effective dielectric function <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/da\/ql_855e088019a3012b7f4cea0fd0ecfeda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;&#32;&#95;&#123;&#101;&#102;&#102;&#125;&#32;&#40;&#92;&#111;&#109;&#101;&#103;&#97;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"55\" style=\"vertical-align: -6px;\"\/> of atomically thick crystals. It is shown that <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/68\/ql_1308dd49f15b9f27b8e01a1001cc3168_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;&#32;&#95;&#123;&#101;&#102;&#102;&#32;&#125;&#32;&#40;&#92;&#111;&#109;&#101;&#103;&#97;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"55\" style=\"vertical-align: -6px;\"\/> extracted from <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/e0\/ql_da3aa7720b827d8ce7c0341aa49762e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#87;&#94;&#123;&#105;&#110;&#100;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: 0px;\"\/> is in good agreement with the dielectric function of the <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/dd\/ql_f0c839409520891b5e10848c7e2e03dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#77;&#111;&#83;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"46\" style=\"vertical-align: -3px;\"\/> extracted from the ellipsometry measurements. A recently proposed method for calculation of the dielectric tensor in quasi-two-dimensional crystals is used to calculate the parallel <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/0b\/ql_d35c687f5d38e198f186f3a0b017040b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;&#92;&#112;&#97;&#114;&#97;&#108;&#108;&#101;&#108;&#32;&#40;&#92;&#111;&#109;&#101;&#103;&#97;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"50\" style=\"vertical-align: -5px;\"\/> and perpendicular <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/cf\/ql_31d5356a596da1a43f6b62897adf9fcf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;&#92;&#112;&#101;&#114;&#112;&#32;&#40;&#92;&#111;&#109;&#101;&#103;&#97;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"55\" style=\"vertical-align: -5px;\"\/> dielectric functions in <img loading=\"lazy\" src=\"https:\/\/quicklatex.com\/cache3\/dd\/ql_f0c839409520891b5e10848c7e2e03dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#77;&#111;&#83;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"46\" style=\"vertical-align: -3px;\"\/> , which are compared with some previous measurements and calculations.<\/p>\n<p style=\"text-align: justify;\">Vito Despoja, Zoran Rukelj, and Leonardo Maru\u0161i\u0107<\/p>\n<p style=\"text-align: justify;\">DOI: <a href=\"https:\/\/doi.org\/10.1103\/PhysRevB.94.165446\">10.1103\/PhysRevB.94.165446<\/a><\/p>\n<p><\/p>","protected":false},"excerpt":{"rendered":"<div class=\"mh-excerpt\"><p>ABSTRSCT: The propagator of the induced dynamically screened Coulomb interaction is calculated for the monolayer. The energy-loss rate of a point charge placed near the monolayer is calculated (using the spatial resolution of the in the direction perpendicular to the plane) and successfully compared with very recent electron-energy-loss spectroscopy measurements <a class=\"mh-excerpt-more\" href=\"http:\/\/bela.phy.hr\/quantixlie\/hr\/ab-initio-study-of-electronic-excitations-and-the-dielectric-function-in-molybdenum-disulfide-monolayer\/\" title=\"Ab initio study of electronic excitations and the dielectric function in molybdenum disulfide monolayer\">[&#8230;]<\/a><\/p>\n<\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[12,5],"tags":[],"_links":{"self":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/444"}],"collection":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/comments?post=444"}],"version-history":[{"count":21,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/444\/revisions"}],"predecessor-version":[{"id":465,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/444\/revisions\/465"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/media?parent=444"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/categories?post=444"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/tags?post=444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}