{"id":1933,"date":"2015-07-05T23:04:07","date_gmt":"2015-07-06T06:04:07","guid":{"rendered":"http:\/\/physikon.net\/?p=1933"},"modified":"2022-06-22T09:49:37","modified_gmt":"2022-06-22T16:49:37","slug":"1933","status":"publish","type":"post","link":"http:\/\/physikon.net\/?p=1933","title":{"rendered":"Comment on \u201cSuperconductivity in electron-doped layered TiNCl with variable interlayer coupling\u201d"},"content":{"rendered":"<p><!--more--><\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>Comment on \u201cSuperconductivity in electron-doped layered TiNCl with variable interlayer coupling\u201d<\/strong>, D. R. Harshman and A. T. Fiory [<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1411.5068\">arXiv<\/a>]\n<p style=\"text-align: justify;\">In their article, Zhang et al. [<a href=\"https:\/\/doi.org\/10.1103\/PhysRevB.86.024516\">Phys. Rev. B <strong>86<\/strong>, 024516 (2012)<\/a>] present a remarkable result for A<sub>x<\/sub>(S)<sub>y<\/sub>TiNCl compounds (\u03b1-phase TiNCl partially intercalated with alkali A and optionally co-intercalated molecular species S), finding the superconducting transition temperature <em>T<\/em><sub>C<\/sub> scales with <em>d<\/em><sup>\u20131<\/sup>, where the spacing <em>d<\/em> between TiNCl layered structures depends on intercalant thickness. Recognizing that this behavior indicates interlayer coupling, Zhang et al. cite, among other works, the interlayer Coulombic pairing mechanism picture [Harshman et al., <a href=\"https:\/\/doi.org\/10.1088\/0953-8984\/23\/29\/295701\">J. Phys.: Condens. Matter. <strong>23<\/strong>, 295701 (2011)<\/a>]. This Comment shows that superconductivity occurs by interactions between the chlorine layers of the TiNCl structure and layers containing A<sub>x<\/sub>, wherein the transverse A<sub>x<\/sub>-Cl separation distance \u03b6 is smaller than <em>d<\/em>. In the absence of pair-breaking interactions, the optimal transition temperature is modeled by <em>T<\/em><sub>C0<\/sub> \u221d (\u03c3\/<em>A<\/em>)<sup>1\/2\u00a0<\/sup>\u03b6<sup>\u20131<\/sup>, where \u03c3\/<em>A<\/em> is the fractional charge per area per formula unit. Particularly noteworthy are the rather marginally-metallic trends in resistivities of A<sub>x<\/sub>(S)<sub>y<\/sub>TiNCl, indicating high scattering rates, which are expected to partially originate from remote Coulomb scattering (RCS) from the A<sub>x<\/sub> ions. By modeling a small fraction of the RCS as inducing pair-breaking, taken to cut off exponentially with \u03b6, observations of T<sub>C<\/sub> &lt; T<sub>C0<\/sub> are quantitatively described for compounds with \u03b6 &lt; 4 \u00c5, and <em>T<\/em><sub>C<\/sub> \u2248 <em>T<\/em><sub>C0<\/sub> for Na<sub>0.16<\/sub>(S)<sub>y<\/sub>TiNCl with propylene carbonate and butylene carbonate co-intercalants for which \u03b6 &gt; 7 \u00c5. Since a spatially separated alkali-ion layer is not formed in Li<sub>0.13<\/sub>TiNCl, the observed <em>T<\/em><sub>C<\/sub> of 5.9 K is attributed to an intergrowth phase related to TiN (<em>T<\/em><sub>C<\/sub> = 5.6 K).<\/p>\n\n<table id=\"tablepress-17\" class=\"tablepress tablepress-id-17\">\n<tbody class=\"row-hover\">\n<tr class=\"row-1\">\n\t<td class=\"column-1\"><a href=\"http:\/\/physikon.net\/wp-content\/uploads\/2015\/05\/Comment_Fig1_A.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/physikon.net\/wp-content\/uploads\/2015\/05\/Comment_Fig1_A-300x282.jpg\" alt=\"Comment_Fig1_A\" width=\"300\" height=\"282\" class=\"alignleft size-medium wp-image-1447\" srcset=\"http:\/\/physikon.net\/wp-content\/uploads\/2015\/05\/Comment_Fig1_A-300x282.jpg 300w, http:\/\/physikon.net\/wp-content\/uploads\/2015\/05\/Comment_Fig1_A-1024x963.jpg 1024w, http:\/\/physikon.net\/wp-content\/uploads\/2015\/05\/Comment_Fig1_A-160x150.jpg 160w, http:\/\/physikon.net\/wp-content\/uploads\/2015\/05\/Comment_Fig1_A-150x141.jpg 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><br \/>\n<p align=\"justify\">Reduced pair breaking parameter &alpha;\/x plotted as a function of the interaction distance &zeta; for A<sub>x<\/sub>(S)<sub>y<\/sub>TiNCl.  The fitted curve corresponds to pair breaking due to RCS interactions, attenuating exponentially with  &zeta;.<\/p><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-17 from cache -->\n<p>D. R. Harshman and A. T. Fiory, <a href=\"https:\/\/doi.org\/10.1103\/PhysRevB.90.186501\">Phys. Rev. B <strong>90<\/strong>, 186501 (2014)<\/a>.<\/p>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":1449,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,8],"tags":[],"class_list":["post-1933","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-high-tc-superconductivity","category-high-tc-theory"],"_links":{"self":[{"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/posts\/1933","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=1933"}],"version-history":[{"count":15,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/posts\/1933\/revisions"}],"predecessor-version":[{"id":7701,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/posts\/1933\/revisions\/7701"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/media\/1449"}],"wp:attachment":[{"href":"http:\/\/physikon.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1933"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/physikon.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1933"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/physikon.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1933"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}