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A comparative study of finite frequency scattering rate from Allen, Mitrović–Fiorucci, Shulga–Dolgov–Maksimov, Sharapov–Carbotte and memory function formalisms

2017/09/05 by Pankaj Bhalla, Navinder Singh · 4 citations
Materials Science · Physics and Astronomy · #Formalism (music) #Function (biology) #Organic and Molecular Conductors Research #Phonon #Phonon scattering #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Rotation formalisms in three dimensions #Scattering #Scattering theory #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1142/s0217979219501285

published in International Journal of Modern Physics B 33(13), 1950128 (World Scientific) · 13 pages, 7 figures

arxiv created 2017/09/05 · openalex created_date 2017/09/15 · openalex publication_date 2019/05/17 · arxiv updated 2019/06/03 · openalex updated_date 2026/08/05

Abstract

We report a comparative study of scattering rates which are calculated using different formalisms such as [P. B. Allen, Phys. Rev. B 3, 305 (1971); S. V. Shulga, D. V. Dolgov and E. G. Maksimov, Physica C 178, 266 (1991); B. Mitrović and M. A. Fiorucci, Phys. Rev. B 31, 2694 (1985); S. G. Sharapov and J. P. Carbotte, Phys. Rev. B 72, 134506 (2005)] and memory function formalism (MemF) [H. Mori, Prog. Theor. Phys. 33, 423 (1965)]. An advantage of this study is that it sheds light on the physical assumptions used in these formalisms. In this context, we consider a case of electron–phonon interaction and discuss frequency- and temperature-dependent behavior of scattering rates. Further, a comparative study of scattering rate proceeds for distinct phonon density of states (PDOS) and electron density of states (EDOS). From the detailed analysis, we observe that the MemF is the most general one and others are based on restrictive assumptions as discussed in this work.

Citations