On a New Number Equation Incorporating Both Temperature and Applied Magnetic Field and Its Application to MgB2

Guided by recent studies that point to the pivotal role played by the Fermi energy ( E F ) in determining the properties of high-temperature superconductors, we have been following a course where the critical temperature, gap(s), and the temperature T - and the applied magnetic field H -dependent cr...

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Bibliographic Details
Published in:Journal of superconductivity and novel magnetism 2020-12, Vol.33 (12), p.3681-3685
Main Authors: Malik, G. P., Varma, V. S.
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Condensed Matter Physics
Magnetic Materials
Magnetism
Original Paper
Physics
Physics and Astronomy
Strongly Correlated Systems
Superconductivity
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Summary:Guided by recent studies that point to the pivotal role played by the Fermi energy ( E F ) in determining the properties of high-temperature superconductors, we have been following a course where the critical temperature, gap(s), and the temperature T - and the applied magnetic field H -dependent critical current density j c ( T , H ) are addressed in a unified, E F -incorporated framework. Needed in such an approach is an equation for the number density n s ( T , H ) which is a constituent of j c ( T , H ). This equation is derived here by applying the field-theoretic Landau quantization prescription to n s ( T , H = 0 ). As an application of the new equation, we also deal herein with a few empirical values of j c ( T , H ) of MgB 2 and show that the corresponding n s ( T , H ) values lead to bounds on the effective mass of the charge carriers, the Fermi velocity, and the critical velocity.
ISSN:1557-1939
1557-1947
DOI:10.1007/s10948-020-05639-3