Landau and Ott scaling for the kinetic energy density and the low $T_c$ conventional superconductors, $Li_{2}Pd_{3}B$ and Nb

TL;DR

This study extends Landau and Ott scaling to the kinetic energy density in low $T_c$ superconductors, demonstrating its effectiveness in analyzing magnetization data and critical fields in Nb and $Li_{2}Pd_{3}B$.

Contribution

It introduces a novel application of Landau and Ott scaling to the kinetic energy density, providing a new method to analyze superconducting magnetization data.

Findings

Good agreement between $H_{c2}(T)$ from different methods.

Collapse of $d.M.B/H^2$ curves for $Li_2Pd_3B$ across all fields.

Constant minimum in $d.M.B/H^2$ curves for Nb.

Abstract

The scaling approach recently proposed by Landau and Ott for isothermal magnetization curves is extended to the average kinetic energy density of the condensate. Two low $T_c$ superconductors, Nb and $Li_{2}Pd_{3}B$ are studied and their isothermal reversible magnetization shown to display Landau and Ott scaling. Good agreement is obtained for the upper critical field $H_{c2}(T)$, determined from the Abrikosov approximation for the reversible region (standard linear extrapolation of the magnetization curve), and from the maximum of the kinetic energy curves. For the full range of data, which includes the irreversible region, the isothermal $d.M.B/H^2$ curves for $Li_2Pd_3B$ show an impressive collapse into a single curve over the entire range of field measurements. The Nb isothermal $d.M.B/H^2$ curves exhibit the interesting feature of a constant and temperature independent minimum value.