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The European Physical Journal BISSN: 1434-6028 (printed version) Abstract Volume 2 Issue 1 (1998) pp 31-36 Universal scaling in BCS superconductivity in three dimensions in non-s waves
A. Ghosh, S.K. Adhikari (a)
Instituto de Física Teórica, Universidade Estadual Paulista, 01.405-900 S ao Paulo, S ao Paulo, Brazil Received: 18 July 1997 / Revised: 8 September 1997 / Accepted: 29 September 1997 Abstract: The solutions of a renormalized BCS equation are studied in three space dimensions in s, p and d waves for finite-range separable potentials in the weak to medium coupling region. In the weak-coupling limit, the present BCS model yields a small coherence length $\xi$ and a large critical temperature, $T_{\rm c}$, appropriate for some high-$T_{\rm c}$ materials. The BCS gap, $T_{\rm c}$, $\xi$ and specific heat $C_{\rm s}(T_{\rm c})$ as a function of zero-temperature condensation energy are found to exhibit potential-independent universal scalings. The entropy, specific heat, spin susceptibility and penetration depth as a function of temperature exhibit universal scaling below $T_{\rm c}$ in p and d waves.
PACS. 74.20.Fg BCS theory and its development - 74.72.-h High-$T_{\rm c}$ compounds
(a) email: adhikari@ift.unesp.br John Simon Guggenheim Foundation Fellow Online publication: April 21, 1998 |