We report first principle calculations of electron and hole inelastic lifetimes for alkali metals (Na and K) within the framework of the GW approximation of many-body theory. The results show that at low energies the lifetimes are slightly smaller than prediction of a free-electron model, and that there is no noticeable momentum-direction dependence. We also look at the inelastic mean-free path lambda, and conclude that the observed drops at a few eV in lambda for the alkali elements with a strong d-band character cannot be attributed to the effect of these d bands in the lifetime, but to a crossover behavior of the velocity of the photoelectron.
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