Two phase transitions in (s+id)-wave Bardeen-Cooper-Schrieffer superconductivity

Abstract

We establish universal behavior in temperature dependencies of some observables in $(s+id)$-wave BCS superconductivity in the presence of a weak $s$ wave. There also could appear a second second-order phase transition. As temperature is lowered past the usual critical temperature $T_c$, a less ordered superconducting phase is created in $d$ wave, which changes to a more ordered phase in $(s+id)$ wave at $T_{c1}$ ($<T_c$). The presence of two phase transitions manifest in two jumps in specific heat at $T_c$ and $T_{c1}$. The temperature dependencies of susceptibility, penetration depth, and thermal conductivity also confirm the new phase transition.

6 pages, 5 post-script figures.

References in corpus (3)

• Renormalization in Nonrelativistic Quantum Mechanics
• Universal scaling in BCS superconductivity in three dimensions in non-$s$ waves
• Universal scaling in BCS superconductivity in two dimensions in non-s waves

Cited by in corpus (4)

• Phase transition from a $d_{x^2-y^2}$ to $d_{x^2-y^2}+i{d}_{xy}$ superconductor
• Mixing of superconducting $d_{x^2-y^2}$ state with s-wave states for different filling and temperature
• Mixing of $d_{x^2-y^2}$ and $d_{xy}$ superconducting states for different filling and temperature
• Phase transitions in a holographic s+d model from the 4D Einstein-Gauss-Bonnet gravity