Electromagnetic absorption in anisotropic superconductors

Abstract

We calculate the absorptive part of the frequency-dependent conductivity for a large class of anisotropic superconductors. The effect of nonmagnetic impurity scattering is included at the level of a self-consistent t-matrix approximation. It is found that low-frequency absorption (0<\ensuremath{\Omega}<2\ensuremath{\Delta}) takes place for any superconducting state with nodes of the energy gap on the Fermi surface. We demonstrate that the limiting low-frequency dependence of \ensuremath{\sigma}(\ensuremath{\Omega}) on impurity concentrations can help to determine the structure of the order parameter in candidate systems such as heavy-electron compounds or high-${T}_{c}$ superconductors. We also discuss how strong scattering, similar to that observed in ordinary superconductors doped with Kondo impurities, may lead to absorption with a threshold of \ensuremath{\Omega}\ensuremath{\simeq}\ensuremath{\Delta} rather than 2\ensuremath{\Delta} as in quasiisotropic systems. Finally, we consider the contribution of order-parameter collective modes to the electromagnetic absorption, and show that this absorption may be substantial and depends sensitively on the impurity scattering rate.