Supercurrent in nodal superconductors

Abstract

In recent years, a number of nodal superconductors have been identified; $d$-wave superconductors in high ${T}_{c}$ cuprates, ${\mathrm{CeCoIn}}_{5}$ and $\ensuremath{\kappa}\text{\ensuremath{-}}{(\mathrm{ET})}_{2}{\mathrm{Cu}(\mathrm{NCS})}_{2}$, two-dimensional (2D) $f$-wave superconductor in ${\mathrm{Sr}}_{2}{\mathrm{RuO}}_{4}$, and hybrid $s+g$-wave superconductor in ${\mathrm{YNi}}_{2}{\mathrm{B}}_{2}\mathrm{C}$. In this work we conduct a theoretical study of nodal superconductors in the presence of supercurrent. For simplicity, we limit ourselves to $d$-wave and 2D $f$-wave superconductors. We compute the quasiparticle density of states and the temperature dependence of the depairing critical current in nodal superconductors, both of which are accessible experimentally.