The Average Kinetic Energy of the Superconducting State

Details The Average Kinetic Energy of the Superconducting State The Average Kinetic Energy of the Superconducting State

2002-01-08

arxiv.org/abs/cond-mat/0201101v1

Physics

Condensed Matter

Superconductivity

11 pages, 9 postscript figures

Scientific paper

10.1103/PhysRevB.65.144509

Isothermal magnetization curves are plotted as the magnetization times the magnetic induction, $4 \pi M \cdot B$, versus the applied field, H. We show here that this new curve is the average kinetic energy of the superconducting state versus the applied field, for type-II superconductors with a high Ginzburg-Landau parameter $\kappa$. The maximum of $4 \pi M \cdot B$ occurs at a field, $H^{*}$, directly related to the upper critical field, $H_{c2}$, suggesting that $H_{c2}(T)$ may be extracted from such plots even in cases when it is too high for direct measurement. We obtain these plots both theoretically, from the Ginzburg-Landau theory, and experimentally, using a Niobium sample with $T_c = 8.5 K$, and compare them.

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