X-RAY-PHOTOEMISSION SPECTRA OF IMPURE SIMPLE METALS

In this paper we study the influence of disorder on the x-ray-photoemission spectra of simple metals using functional methods. The exact long-time behavior of the core-hole Green's function is recovered for pure metals. The generalization to the case of impure metals yields an unusual time dependence for the core-hole Green's function. In the Drude region, the x-ray exponent is modified. Universal behavior is predicted close to the disorder-induced metal-insulator transition. Logarithmic relaxation occurs due to Mott's hopping conduction in the insulating region.