In the scientific literature, we can read many dispersion functions which are suitable for a certain type of thin film (Cauchy, Sellmeier, Lorentz, Drude...). My goal is how to describe the absorber films?
Well, from the sheer number of models you might get the idea that there is no quick answer for this. Also, strictly speaking, your question already mixes up things: Sellmeier is a n-parametrisation developed for glasses and other dielectrics, so no absorption here. Cauchy similar, often comes with an Urbach-addition for absorption. Drude is an oscillator model from Drude's metal electromagnetic theory. Lorentz is a general oscillator model which is useful for many systems....
Your options here are:
tell us which material you have and we could make wild guesses (not recommended).
read a textbook on spectroscopic ellipsometry, especially the chapter(s) on partly absorbing layers (recommended). I would recommend Fujiwara or Azzam/Bashara. Then think about what kind of material you have and try the according model or combination of models.