Coherent effects of different excitations in electron spectroscopies of valence states

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Abstract
Valence holes can react to various elementary excitations, such as plasmons and phonons, causing them to relax coherently in the final states of electron spectroscopies. This can produce interesting effects on the lineshapes. Here the photoemission spectra of a chemisorbate or an impurity are discussed in the framework of a model that explicitly deals with the dynamics of two different boson modes. The exact solution is given and leads to the conclusion that coherence effects are important when the two excitations give comparable contributions to the relaxation energy. The dynamical effects due to the plasmons end to enhance the vibrational structures.