The Average Kinetic Energy of the Superconducting State

Abstract

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, $H^{\ast }$, 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 $T_c=8.5K$, and compare them.

11 pages, 9 postscript figures

Cited by in corpus (7)

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• The average kinetic energy density of Cooper pairs above T_c in YBa_2Cu_3O_{7-x}}, Bi_2Sr_2CaCu_2O_{8+δ}, and Nb}
• Experimental observation of high field diamagnetic fluctuations in Niobium
• Landau and Ott scaling for the kinetic energy density and the low $T_c$ conventional superconductors, $L{i}_{2}P{d}_{3}B$ and Nb
• Magnetic measurements and kinetic energy of the superconducting condensate in SmBa_2Cu_3O_{7-δ}
• Critical vortex line length near a zigzag of pinning centers
• Effects of the pseudo-gap on the field-induced kinetic energy density of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ single crystals