A comparative study of finite frequency scattering rate from Allen, Mitrovi\'c-Fiorucci, Shulga-Dolgov-Maksimov, Sharapov-Carbotte and G\"otze-W\"olfle Memory Function formalisms
Abstract
We report a comparative study of the scattering rates using different formalisms such as Allenallen71, Shulga et al.shulga91, Mitrovi\'c et al.mitrovic85, Sharapov et alsharapov05 and memory function formalismmori65. We discuss the frequency and the temperature dependent scattering rates for the case of electron-phonon interactions in these formalisms. The analysis has been done for different forms of phonon density of states (PDOS) and electron density of states (EDOS). An advantage of our study is that it shed light on the physical assumptions used in these formalisms. From this detailed comparison, we observe that the memory function formalism is the most general one. All other formalisms are based on restrictive assumptions as discussed in this work.
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.