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

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, $T_c$, appropriate for some high-$T_c$ materials. The BCS gap, $T_c$, $\xi$ and specific heat $C_s(T_c)$ 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 $T_c$ in $p$ and $d$ waves.

9 pages of LATEX and 5 post-script figures. Accepted in European Physical Journal B

Cited by in corpus (8)

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• Linear to quadratic crossover of Cooper pair dispersion relation
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• Two phase transitions in $(d_{x^2-y^2}+is)$-wave superconductors
• Phase transition from a $d_{x^2-y^2}$ to $d_{x^2-y^2}+d_{xy}$ superconductor
• Scattering phase shift for relativistic exponential-type separable potentials
• Two phase transitions in (s+id)-wave Bardeen-Cooper-Schrieffer superconductivity
• Mixing of $d_{x^2-y^2}$ and $d_{xy}$ superconducting states for different filling and temperature