{"id":3292,"date":"2016-01-12T22:50:51","date_gmt":"2016-01-13T06:50:51","guid":{"rendered":"http:\/\/physikon.net\/?page_id=3292"},"modified":"2025-03-12T20:02:28","modified_gmt":"2025-03-13T03:02:28","slug":"high-tc-superconductivity","status":"publish","type":"page","link":"http:\/\/physikon.net\/?page_id=3292","title":{"rendered":"High-TC<\/sub> superconductivity"},"content":{"rendered":"
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\"htc_interaction_image_sm\"<\/a><\/p>\n

High TC<\/sub> superconductivity originates from the Coulomb interaction between two adjacent charge reservoirs; the type I reservoir hosts the superconducting condensate with areal charge fraction \u03c3I<\/sub>\u00a0(per formula unit) while the type II reservoir contains the mediating charges fraction \u03c3II<\/sub>. Given \u03bd (= 1, 2) type I interacting layers and \u03b7 type II charge-carryiing component layers, the optimal superconducting state is achieved when the two reservoirs are in equilibrium defined by [1, 7, 10],<\/p>\n

\u03bd\u03c3I<\/sub>\u00a0= \u03b7\u03c3II<\/sub>\u00a0.<\/span><\/p>\n

Remarkably, the optimal transition temperature TC0<\/sub> is independent of band structure, Fermi energy, effective mass, etc., determined completely by the interacting charge number density and the separation between the two reservoirs according to the algebraic expression [1],<\/p>\n

TC0<\/b><\/sub> = kB<\/b><\/sub>\u22121<\/b><\/sup> \u03b2<\/em> (\u03c3\u03b7\/A<\/i>)1\/2<\/b><\/sup> \u03b6\u22121<\/b><\/sup> = kB<\/b><\/sub>\u22121<\/b><\/sup> (\u039b\/\u2113) e<\/em>2<\/b><\/sup>\/\u03b6<\/span><\/p>\n

where \u03b6 is the interaction distance (along the transverse axis), \u03c3\/A<\/i>\u00a0(=\u03c3I<\/sub>\/A<\/em>I<\/sub>) is the optimal areal charge density per type I layer per formula unit for participating charges, \u03b7 is the number of mediating layers (e.g.<\/em>, the number of cuprate planes), and \u03b2<\/em> (= 0.1075 \u00b1 0.0003 eV \u00c52<\/sup>) is a universal constant; \u039b = e<\/em>\u20132<\/sup>\u03b2<\/em> is approximately twice the reduced electron Compton wavelength. Rules for determining \u03c3 are discussed\u00a0here<\/a>\u00a0(see also, Notes<\/a>), and the relevant experimental parameters and the calculated values of TC0<\/sub> are listed under Tabulated results<\/a> for 58 optimal high-TC<\/sub>\u00a0materials from eleven superconductor families [1-12].<\/p>\n

Evidence of the Coulomb potential e<\/em>2<\/sup>\/\u03b6 is found in optical reflectance data in the mid-infrared range for Cs3<\/sub>C60<\/sub> [7], and H3<\/sub>S [8], where the electronic contribution (\u03c9\u03c7<\/sub>) is given as,<\/p>\n

\u210f\u03c9\u03c7<\/sub> = e<\/em>2<\/sup>\/\u03b5\u221e<\/sub>\u03b6,<\/span><\/p>\n

where \u03b5\u221e<\/sub> is the high-frequency dielectric constant.<\/p>\n

Note: the pairing interaction model, first introduced in 2011 [1] has since been further developed and expanded by Dale R. Harshman<\/a> and Anthony T. Fiory<\/a> [2-12]. The term, “high-TC<\/sub>” (meaning “high transition temptation superconductivity), is somewhat of a misnomer; while the mechanism allows for extremely high transition temperatures, it is applicable to low-TC<\/sub> materials as well.<\/p>\n

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  1. D. R. Harshman, A. T. Fiory and J. D. Dow, J. Phys.: Condens. Matter 23<\/b>, 295701 (2011)<\/a>;\u00a023<\/b> 349501 (2011)<\/a>.<\/li>\n
  2. D. R. Harshman and A. T. Fiory, J. Phys.: Condens. Matter 24<\/b>, 135701 (2012)<\/a>.<\/li>\n
  3. D. R. Harshman and A. T. Fiory, Phys. Rev. B 86<\/b>, 144533 (2012)<\/a>.<\/li>\n
  4. D. R. Harshman and A. T. Fiory, J. Phys. Chem. Solids 85<\/strong>, 106 (2015)<\/a>.<\/li>\n
  5. D. R. Harshman and A. T. Fiory, Phys. Rev. B 90<\/strong>, 186501 (2014)<\/a>.<\/li>\n
  6. D. R. Harshman and A. T. Fiory, J. Supercond. Nov. Magn. 28<\/strong>, 2967 (2015)<\/a>.<\/li>\n
  7. D. R. Harshman and A. T. Fiory,\u00a0J. Phys.: Condens. Matter\u00a029<\/strong>, 145602 (2017)<\/a>.<\/li>\n
  8. D. R. Harshman and A. T. Fiory, J. Phys.: Condens. Matter 29<\/strong>, 445702 (2017)<\/a>.<\/li>\n
  9. D. R. Harshman and A. T. Fiory, J. Supercond. Nov. Magn. 33<\/strong>, 367 (2020)<\/a>.<\/li>\n
  10. D. R. Harshman and A. T. Fiory, J. Supercond. Nov. Magn. 33<\/strong>, 2945 (2020)<\/a>.<\/li>\n
  11. D. R. Harshman and A. T. Fiory, J. Appl. Phys.\u00a0131<\/strong>, 015105\u00a0(2022)<\/a>.<\/li>\n
  12. D. R. Harshman and A. T. Fiory,\u00a0Phys, C: Supercond. Appl. 632<\/strong>, 1354600 (2025)<\/a>.<\/li>\n<\/ol>\n
    \n","protected":false},"excerpt":{"rendered":"

    \"htc_interaction_image_sm\"<\/a><\/p>\n

    High TC superconductivity originates from the Coulomb interaction between two adjacent charge reservoirs; the type I reservoir hosts the superconducting condensate with areal \u2026 Continue reading → <\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-3292","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/pages\/3292","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/types\/page"}],"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=3292"}],"version-history":[{"count":143,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/pages\/3292\/revisions"}],"predecessor-version":[{"id":8444,"href":"http:\/\/physikon.net\/index.php?rest_route=\/wp\/v2\/pages\/3292\/revisions\/8444"}],"wp:attachment":[{"href":"http:\/\/physikon.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3292"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}