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Nanosystems: Physics, Chemistry, Mathematics, 2017, Volume 8, Issue 6, Pages 740–745
DOI: https://doi.org/10.17586/2220-8054-2017-8-6-740-745
(Mi nano99)
 

PHYSICS

Kinetic coefficients of semiconductor superlattices in high-frequency electromagnetic fields

A. V. Shorokhova, N. S. Prudskikha, M. B. Semenovb, V. D. Krevchikb, M. A. Pyataeva, S. E. Golovatyuka, Tian-Rong Lic, Yu-Hua Wangc

a National Research Mordovia State University, Bolshevistskaya, 68, Saransk, 430005, Russia
b Penza State University, Krasnaya, 40, Penza, 440026, Russia
c Institute of Functional and Environmental Materials, Lanzhou University, Lanzhou, China
Abstract: Kinetic coefficients of semiconductor superlattice are obtained from the Boltzmann transport equation with Bhatnagar–Gross–Krook (BGK) collision term and Poisson equation. Using the universal analytic procedure, we found kinetic coefficient in the quasistatic limit starting from the exact solution of the Boltzmann transport equation. It is shown that the Einstein relation for the diffusion coefficient is applicable only for weak fields and it is not valid in the general case. As a consequence, a drift-diffusion model of miniband transport in the case of strong dc and ac fields should be corrected, taking into account the kinetic coefficients obtained from the Boltzmann equation.
Keywords: superlattice, Boltzmann equation, drift-diffusion model, THz radiation, diffusion coefficient, drift velocity, Maxwell frequency, Einstein relation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 3.6321.2017/8.9
Russian Foundation for Basic Research 17-02-00969
This work was supported by the Ministry of Education and Science of the Russian Federation (Project № 3.6321.2017/8.9), and RFBR (Project № 17-02-00969).
Received: 13.11.2017
Revised: 29.11.2017
Bibliographic databases:
Document Type: Article
PACS: 73.63.-b
Language: English
Citation: A. V. Shorokhov, N. S. Prudskikh, M. B. Semenov, V. D. Krevchik, M. A. Pyataev, S. E. Golovatyuk, Tian-Rong Li, Yu-Hua Wang, “Kinetic coefficients of semiconductor superlattices in high-frequency electromagnetic fields”, Nanosystems: Physics, Chemistry, Mathematics, 8:6 (2017), 740–745
Citation in format AMSBIB
\Bibitem{ShoPruSem17}
\by A.~V.~Shorokhov, N.~S.~Prudskikh, M.~B.~Semenov, V.~D.~Krevchik, M.~A.~Pyataev, S.~E.~Golovatyuk, Tian-Rong~Li, Yu-Hua~Wang
\paper Kinetic coefficients of semiconductor superlattices in high-frequency electromagnetic fields
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2017
\vol 8
\issue 6
\pages 740--745
\mathnet{http://mi.mathnet.ru/nano99}
\crossref{https://doi.org/10.17586/2220-8054-2017-8-6-740-745}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000419787600007}
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