The importance of correlating In T_c in non-BCS superconductors with the Debye temperature ΘD and specifically in the high T_c cuprates

Abstract

In earlier work, we have proposed a phenomenological relation between the logarithm of the superconducting transition $T_c$ and the Debye temperature ${\mathrm{\Theta }}_D$ for five bcc transition elements showing no isotope effect and therefore of non-Bardeen–Cooper–Schrieffer character. This has prompted the present study of the high $T_c$ behaviour of some families of the cuprates. The theoretical study of Ginzburg and Kirshnitz is utilized as starting point for the phenomenology presented here.

KEYWORDS:

• Debye temperature
• superconducting transition temperature
• lattice stiffness