%0 Journal Article
%T Fermi Energy-Incorporated Generalized BCS Equations for the Temperature-Dependent Critical Current Density and the Related Parameters of a Superconductor for All <i>T</i> ¡Ü <i>Tc</i> and Their Application to Aluminium Strips
%A Gulshan Prakash Malik
%A Vijaya Shankar Varma
%J World Journal of Condensed Matter Physics
%P 47-61
%@ 2160-6927
%D 2019
%I Scientific Research Publishing
%R 10.4236/wjcmp.2019.93004
%X Presented here are the Generalized BCS Equations incorporating Fermi Energy for the study of the {¦¤, <em>Tc</em>, <em>jc</em>(<em>T</em>)} values of both elemental and composite superconductors (SCs) for all <em>T </em>¡Ü <em>Tc</em>, where ¦¤, <em>Tc</em> and <em>jc</em>(<em>T</em>) denote, respectively, one of the gap values, the critical temperature and the <em>T</em>-dependent critical current density. This framework, which extends our earlier study that dealt with the {¦¤<sub>0</sub>, <em>Tc</em>, <em>jc</em>(0)} values of an SC, is also shown to lead to <em>T</em>-dependent values of several other related parameters such as the effective mass of electrons, their number density, critical velocity, Fermi velocity (<em>V<sub>F</sub></em>), coherence length and the London penetration depth. The extended framework is applied to the<em> jc</em>(<em>T</em>) data reported by Romijn <em>et al</em>. for superconducting Aluminium strips and is shown not only to provide an alternative to the explanation given by them, but also to some novel features such as the role of the Sommerfeld coefficient <em>¦Ã</em>(<em>T</em>) in the context of<em> jc</em>(<em>T</em>) and the role of <em>V<sub>F</sub></em>(<em>T</em>) in the context of a recent finding by Plumb <em>et al</em>. about the superconductivity of Bi-2212.
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%K ) Data for Superconducting Aluminium Strips
%K Bardeen¡¯s Equation and Kupriyanov-Lukichev Theory for &lt
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%K Unified Generalized BCS Equations for {¦¤
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%K &lt
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%K -Dependence of the Sommerfeld Coefficient and Several Other Superconducting Parameters
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=93821