A comparative study of finite frequency scattering rate from Allen, Mitrović–Fiorucci, Shulga–Dolgov–Maksimov, Sharapov–Carbotte and memory function formalisms
A comparative study of finite frequency scattering rate from Allen, Mitrović–Fiorucci, Shulga–Dolgov–Maksimov, Sharapov–Carbotte and memory function formalisms
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Allen、Mitrović–Fiorucci、Shulga–Dolgov–Maksimov、Sharapov–Carbotte 和记忆函数形式主义的有限频率散射率的比较研究
DOI：
10.1142/s0217979219501285
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发表时间：
2017
影响因子：
1.7
通讯作者：
Navinder Singh
中科院分区：
文献类型：
--
作者：
Pankaj Bhalla;Navinder Singh
我们报告了一项使用不同形式计算的散射率的比较研究，如[P.B.Allen，Phys.B.舒尔加，D.V.多尔戈夫和E.G.马克西莫夫，物理C，178,266(1991年)；B.Mitrović和M.A.Fiorucci，Phys.B.Rev.B-31,2694(1985)；S.G.Sharapov和J.P.Carbotte，Phys.Rev.B-72,134506(2005)]和记忆功能形式主义[H.Mori，Prog.西奥。Phys.[33,423(1965)]。这项研究的一个优点是，它揭示了这些形式主义中使用的物理假设。在此背景下，我们考虑了电子-声子相互作用的情况，并讨论了散射率随频率和温度变化的行为。此外，对不同声子态密度(PDOS)和电子态密度(EDOS)的散射率进行了比较研究。通过详细的分析，我们发现MemF是最普遍的一个，其他的都是基于本文所讨论的限制性假设。
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.