Kinetic coefficients of semiconductor superlattices in high-frequency electromagnetic fields
https://doi.org/10.17586/2220-8054-2017-8-6-740-745
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
Supporting agencies: The authors would like to thank Kirill Alekseev for collaboration and useful ideas. This work was supported by the Ministry of Education and Science of the Russian Federation (Project No. 3.6321.2017/8.9), and RFBR (Project No. 17-02-00969).
About the Authors
A. V. Shorokhov
National Research Mordovia State University
Russian Federation
Russian Federation
Bolshevistskaya, 68, Saransk, 430005
N. S. Prudskikh
National Research Mordovia State University
Russian Federation
Russian Federation
Bolshevistskaya, 68, Saransk, 430005
M. B. Semenov
Penza State University
Russian Federation
Russian Federation
Krasnaya, 40, Penza, 440026
V. D. Krevchik
Penza State University
Russian Federation
Russian Federation
Krasnaya, 40, Penza, 440026
M. A. Pyataev
National Research Mordovia State University
Russian Federation
Russian Federation
Bolshevistskaya, 68, Saransk, 430005
S. E. Golovatyuk
National Research Mordovia State University
Russian Federation
Russian Federation
Bolshevistskaya, 68, Saransk, 430005
Tian-Rong Li
Institute of Functional and Environmental Materials, Lanzhou University
China
China
Lanzhou
Yu-Hua Wang
Institute of Functional and Environmental Materials, Lanzhou University
China
China
Lanzhou
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Review
For citations:
Shorokhov A.V., Prudskikh N.S., Semenov M.B., Krevchik V.D., Pyataev M.A., Golovatyuk S.E., Li T., Wang Yu. Kinetic coefficients of semiconductor superlattices in high-frequency electromagnetic fields. Nanosystems: Physics, Chemistry, Mathematics. 2017;8(6):740-745. https://doi.org/10.17586/2220-8054-2017-8-6-740-745
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