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Various technical developments enlarged the potential of angle-resolved photoemission (ARPES) tremendously during the last one or two decades. In particularimproved momentum and energy resolution as well as the use of photon energiesfrom few eV up to several keV makes ARPES a rather unique tool to investigatethe electronic properties of solids and surfaces. Obviously, this rises theneed for a corresponding theoretical formalism that allows to accompanyexperimental ARPES studies in an adequate way. As will be demonstrated byseveral examples this goal could be achieved by various recent developments onthe basis of the one-step model of photo emission: The spin-orbit inducedRashba-splitting of Shockley-type surface states is discussed using a fullyrelativistic description. The impact of chemical disorder within surface layerscan be handled by means of the Coherent Potential Approximation (CPA) alloytheory. Calculating phonon properties together with the correspondingelectron-phonon self-energy allows a direct comparison with features in theARPES spectra caused by electron-phonon interaction. The same holds for theinfluence of electronic correlation effects. These are accounted for by meansof the dynamical mean field theory (DMFT) that removes the most serious shortcomings of standard calculations based on the standard LDA. The combination ofthis approach with the CPA allows the investigation of correlated transitionmetal alloys. Finally, accounting for the photon momentum and going beyond thesingle scatter approximation for the final state allows to deal quantitativelywith ARPES in the HAXPES regime that reduces the influence of the surface onthe spectra and probing primarily the bulk electronic structure this way.Corresponding calculations of ARPES spectra, however, have to deal with thermalvibrations in an adequate way.

Calculation of angle-resolved photo emission spectra within the one-step model of photo emission - recent developments