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Universal scaling in BCS superconductivity in three dimensions in non-s waves ∗

By Angsula Ghosh, Sadhan K. Adhikari and São Paulo São Paulo


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 ξ and a large critical temperature, Tc, appropriate for some high-Tc materials. The BCS gap, Tc, ξ and specific heat Cs(Tc) 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 Tc in p and d waves. PACS Numbers: 74.20.Fg, 74.72.-h

Year: 2008
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