Phase transition from a $d_{x^2-y^2}$ to $d_{x^2-y^2}+i{d}_{xy}$ superconductor

Abstract

The temperature dependencies of specific heat and spin susceptibility of a coupled $d_{x^2-y^2}+i{d}_{xy}$ superconductor in the presence of a weak $d_{xy}$ component are investigated in the tight-binding model (1) on square lattice and (2) on a lattice with orthorhombic distortion. As the temperature is lowered past the critical temperature $T_c$, first a less ordered $d_{x^2-y^2}$ superconductor is created, which changes to a more ordered $d_{x^2-y^2}+i{d}_{xy}$ superconductor at $T_{c1}(<T_c)$. This manifests in two second order phase transitions 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, 11 pages, 7 postscript figures

References in corpus (6)

• Magnetic Induction of d + i d Order in High-Tc Superconductors
• Self-consistent electronic structure of a $d_{x^2-y^2}$ and a $d_{x^2-y^2}+i{d}_{xy}$ vortex
• Universal scaling in BCS superconductivity in three dimensions in non-$s$ waves
• Universal scaling in BCS superconductivity in two dimensions in non-s waves
• Effect of electron corelation on superconducting pairing symmetry
• Two phase transitions in (s+id)-wave Bardeen-Cooper-Schrieffer superconductivity

Cited by in corpus (6)

• The electronic specific heat of Ba1-xKxFe2As2 (x=0 to 1.0) from 2K to 380K
• Tunneling spectra for ($d_{x^2-y^2}+is$)-wave superconductors versus tunneling spectra for ($d_{x^2-y^2}+i{d}_{xy}$)-wave superconductors
• Phase transition from a $d_{x^2-y^2}$ to $d_{x^2-y^2}+d_{xy}$ superconductor
• 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