Universal scaling in BCS superconductivity in three dimensions in non-s waves
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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, Tc, appropriate for some high-Tc materials. The BCS gap, Tc, \(\xi \) 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.
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