Contribution to the quasiparticle inelastic lifetime from paramagnons in disordered superconductors

The paramagnon contribution to the quasiparticle inelastic-scattering rate in disordered superconductors is presented. Using Anderson’s exact eigenstate formalism, it is shown that the scattering rate is Stoner enhanced and is further enhanced by the disorder relative to the clean case in a manner similar to the disorder enhancement of the long-range Coulomb contribution. The results are discussed in connection with the possibility of conventional or unconventional superconductivity in the borocarbides. The results are compared to recent tunneling experiments on ${\mathrm{LuNi}}_2{\mathrm{B}}_2\mathrm{C}.$