{"id":5669,"date":"2020-06-18T16:08:20","date_gmt":"2020-06-18T23:08:20","guid":{"rendered":"http:\/\/physikon.net\/?p=5669"},"modified":"2023-05-26T10:58:58","modified_gmt":"2023-05-26T17:58:58","slug":"high-tc-superconductivity-in-hydrogen-clathrates-mediated-by-coulomb-interactions-between-hydrogen-and-central-atom-electrons","status":"publish","type":"post","link":"http:\/\/physikon.net\/?p=5669","title":{"rendered":"High-T<sub>c<\/sub> Superconductivity in Hydrogen Clathrates Mediated by Coulomb Interactions between Hydrogen and Central-Atom Electrons"},"content":{"rendered":"<p><!--more--><\/p>\n<hr>\n<p style=\"text-align: justify;\"><strong>Hign T<sub>C<\/sub> Superconductivity in Hydrogen Clathrates Mediated by Coulomb Interactions between Hydrogen and Central-Atom Electrons<\/strong>, D. R. Harshman and A. T. Fiory [<a href=\"https:\/\/doi.org\/10.48550\/arXiv.2006.11268\">arXiv<\/a>]\n<p style=\"text-align: justify;\">The uniquely characteristic macrostructures of binary hydrogen-clathrate compounds MH<sub>n<\/sub> formed at high pressure, a cage of hydrogens surrounding a central-atom host, is theoretically predicted in various studies to include structurally stable phonon-mediated superconductors. High superconductive transition temperatures <em>T<\/em><sub>C<\/sub> have thus far been measured for syntheses with <em>M<\/em> = La, Y, and Th. In compressed LaH<sub>10<\/sub>, independent studies report <em>T<\/em><sub>C<\/sub> of 250 K and over 260 K, a maximum in <em>T<\/em><sub>C<\/sub> with pressure <em>P<\/em>, and normal-state resistance scaling with temperature (suggesting unconventional pairing). According to reported band structure calculations of <em>Fm<\/em><span style=\"text-decoration: overline;\">3<\/span><em>m<\/em>-phase LaH<sub>10<\/sub>, the La is anionic, with the chemical valence electrons appearing evenly split between La and H<sub>10<\/sub>. Thus, compressed LaH<sub>10<\/sub> contains the combination of structure, charge separation, and optimal balanced allocation of valence electrons for supporting unconventional high-<em>T<\/em><sub>C<\/sub> superconductivity mediated by Coulomb interactions between electronic charges associated with La and H<sub>10<\/sub>. A general expression for the optimal superconducting transition temperature for <em>M<\/em>H<sub>n<\/sub> clathrates is derived as <em>T<\/em><sub>C0<\/sub> = <em>k<\/em><sub>B<\/sub><sup>-1<\/sup>\u039b[(n + <em>v<\/em>)\/2<em>A<\/em>]<sup>1\/2<\/sup><em>e<\/em><sup>2<\/sup>\/\u03b6, where \u039b is a universal constant, (n + <em>v<\/em>) is the chemical valence sum per formula unit, taking unity for H and <em>v<\/em> for atom <em>M<\/em>, <em>A<\/em> is the surface area of the H-polyhedron cage, and \u03b6 is the mean distance between the <em>M<\/em> site and the centroids of the polyhedron faces. Applied to <em>Fm<\/em><span style=\"text-decoration: overline;\">3<\/span><em>m<\/em> LaH<sub>10<\/sub>, <em>T<\/em><sub>C0<\/sub> values of 249.8(1.3) K and 260.7(2.0) K are found for the two experiments. Associated attributes of charge allocation, structure, effective Coulomb potential, and H-D isotope effect in <em>T<\/em><sub>C<\/sub> of <em>Fm<\/em><span style=\"text-decoration: overline;\">3<\/span><em>m<\/em> LaH<sub>10<\/sub> and <em>Im<\/em><span style=\"text-decoration: overline;\">3<\/span><em>m<\/em> H<sub>3<\/sub>S are discussed, along with a generalized prospective for Coulomb-mediated superconductivity in <em>M<\/em>H<sub>n<\/sub>.<\/p>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"906\" src=\"http:\/\/physikon.net\/wp-content\/uploads\/Fig2-1024x906.png\" alt=\"\" class=\"wp-image-5722\" srcset=\"http:\/\/physikon.net\/wp-content\/uploads\/Fig2-1024x906.png 1024w, http:\/\/physikon.net\/wp-content\/uploads\/Fig2-300x266.png 300w, http:\/\/physikon.net\/wp-content\/uploads\/Fig2-768x680.png 768w, http:\/\/physikon.net\/wp-content\/uploads\/Fig2-1536x1360.png 1536w, http:\/\/physikon.net\/wp-content\/uploads\/Fig2-2048x1813.png 2048w, http:\/\/physikon.net\/wp-content\/uploads\/Fig2-150x133.png 150w, http:\/\/physikon.net\/wp-content\/uploads\/Fig2-169x150.png 169w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\n<p style=\"text-align: justify;\">Measured transition temperatures T<sub>C<\/sub> for LaH<sub>10<\/sub> and H<sub>3<\/sub>S are plotted against (\u2113\u03b6)<sup>\u22121<\/sup>. The solid line represents the interlayer Coulomb pairing theory for Tc0. Results for the mixed-phase, non-optimal samples of YH<sub>9<\/sub>, YH<sub>6<\/sub>, ThH<sub>10<\/sub>, and ThH<sub>9<\/sub> are also presented for comparison; the red dashed trend line is a fit to these data as described in the text. Horizontal error bars correspond to the lower and upper pressure limits.<\/p>\n\n<\/figcaption><\/figure>\n<\/div>\n\n\n<p>Dale R. Harshman and Anthony T. Fiory, <a href=\"https:\/\/doi.org\/10.1007\/s10948-020-05557-4\">Journal of Superconductivity and Novel Magnetism <strong>33<\/strong>, 2945 (2020)<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[53,9,8,28],"tags":[],"class_list":["post-5669","post","type-post","status-publish","format-standard","hentry","category-clathrates","category-high-tc-superconductivity","category-high-tc-theory","category-transition-temperature"],"_links":{"self":[{"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/posts\/5669","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/physikon.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5669"}],"version-history":[{"count":43,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/posts\/5669\/revisions"}],"predecessor-version":[{"id":8115,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/posts\/5669\/revisions\/8115"}],"wp:attachment":[{"href":"http:\/\/physikon.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5669"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/physikon.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5669"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/physikon.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5669"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}