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

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

1997-09-30

arxiv.org/abs/cond-mat/9709340v1

Eur. Phys. J. B, 2 (1998) 31

Physics

Condensed Matter

Superconductivity

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

Scientific paper

10.1007/s100510050222

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.

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