Universal scaling in BCS superconductivity in two dimensions in non-s waves

Abstract

The solutions of a renormalized BCS model are studied in two space dimensions in $s$, $p$ and $d$ waves for finite-range separable potentials. The gap parameter, the critical temperature $T_c$, the coherence length $\xi$ and the jump in specific heat at $T_c$ as a function of zero-temperature condensation energy exhibit universal scalings. In the weak-coupling limit, the present model yields a small $\xi$ and large $T_c$ appropriate to those for high-$T_c$ cuprates. The specific heat, penetration depth and thermal conductivity as a function of temperature show universal scaling in $p$ and $d$ waves.

11 pages, LATEX, 4 postscript figures embedded using epsf

References in corpus (2)

• Renormalization in Nonrelativistic Quantum Mechanics
• Lattice Discretization in Quantum Scattering

Cited by in corpus (6)

• Phase transition from a $d_{x^2-y^2}$ to $d_{x^2-y^2}+i{d}_{xy}$ superconductor
• Two phase transitions in $(d_{x^2-y^2}+is)$-wave superconductors
• Scattering phase shift for relativistic exponential-type separable potentials
• Mixing of superconducting $d_{x^2-y^2}$ state with s-wave states for different filling and temperature
• 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