Theory of the superfluid density tensor in unconventional superconductors: Impurity scattering and band-structure effects

Abstract

We consider the superfluid density tensor ${\ensuremath{\rho}}_{s}$ in both singlet and triplet unconventional superconductors. We develop theoretical expressions for ${\ensuremath{\rho}}_{s}$ which incorporate both band-structure effects and impurity scattering; these expressions simplify considerably in the Ginzburg-Landau region close to ${T}_{c}$. We also present the results of numerical calculations showing ${\ensuremath{\rho}}_{s}$ as a function of temperature for several different unconventional order parameters.