Physical properties of Dynes superconductor

Excellent fits of the tunneling density of states in disordered superconductors can be often achieved making use of the phenomenological Dynes formula. Here we show that precisely such formula can be derived within the coherent potential approximation in the superconducting state by considering Lorentzian distribution of pair-breaking fields. Next we formulate Green function of the Dynes superconductor, describing one-particle properties of superconductor in which we consider not just the Lorentzian distribution of pair-breaking fields, but also arbitrary distribution of pair-conserving fields. In this thesis we analyze not only the analytic properties of the Dynes superconductor, but we also make several experimental predictions. We study and predict temperature evolution of the order parameter (also in mag. field), spectral functions, optical conductivity and we also analyze the penetration depth. (Author)