Two phase transitions in $(d_{x^2-y^2}+is)$-wave superconductors

Abstract

We study numerically the temperature dependencies of specific heat, susceptibility, penetration depth, and thermal conductivity of a coupled $(d_{x^2-y^2}+is)$-wave Bardeen-Cooper-Schreiffer superconductor in the presence of a weak s-wave component (1) on square lattice and (2) on a lattice with orthorhombic distorsion. As the temperature is lowered past the critical temperature $T_c$, a less ordered superconducting phase is created in $d_{x^2-y^2}$ wave, which changes to a more ordered phase in $(d_{x^2-y^2}+is)$ wave at $T_{c1}$. This manifests in two second-order phase transitions. The two phase transitions are identified by two jumps in specific heat at $T_c$ and $T_{c1}$. The temperature dependencies of the superconducting observables exhibit a change from power-law to exponential behavior as temperature is lowered below $T_{c1}$ and confirm the new phase transition.

Latex file, 6 pages, 7 postscript figures, Accepted in Physica C

References in corpus (1)

• Effect of electron corelation on superconducting pairing symmetry

Cited by in corpus (6)

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• Mixing of superconducting $d_{x^2-y^2}$ state with s-wave states for different filling and temperature
• Comment on "Time-reversal symmetry-breaking superconductivity"
• Mixing of $d_{x^2-y^2}$ and $d_{xy}$ superconducting states for different filling and temperature
• Stability of Mixed-Symmetry Superconducting States with Broken Time-Reversal Symmetry against Lattice Distortions