najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-6-740-745najo-688Research ArticlePHYSICSФИЗИКАKinetic coefficients of semiconductor superlattices in high-frequency electromagnetic fieldsKinetic coefficients of semiconductor superlattices in high-frequency electromagnetic fieldsShorokhovA. V.ShorokhovA. V.

Bolshevistskaya, 68, Saransk, 430005

Bolshevistskaya, 68, Saransk, 430005

alex.shorokhov@mail.ruPrudskikhN. S.PrudskikhN. S.

Bolshevistskaya, 68, Saransk, 430005

Bolshevistskaya, 68, Saransk, 430005

SemenovM. B.SemenovM. B.

Krasnaya, 40, Penza, 440026

Krasnaya, 40, Penza, 440026

KrevchikV. D.KrevchikV. D.

Krasnaya, 40, Penza, 440026

Krasnaya, 40, Penza, 440026

PyataevM. A.PyataevM. A.

Bolshevistskaya, 68, Saransk, 430005

Bolshevistskaya, 68, Saransk, 430005

GolovatyukS. E.GolovatyukS. E.

Bolshevistskaya, 68, Saransk, 430005

Bolshevistskaya, 68, Saransk, 430005

LiTian-RongLiTian-Rong

Lanzhou

Lanzhou

WangYu-HuaWangYu-Hua

Lanzhou

Lanzhou

National Research Mordovia State UniversityNational Research Mordovia State UniversityPenza State UniversityPenza State UniversityInstitute of Functional and Environmental Materials, Lanzhou UniversityInstitute of Functional and Environmental Materials, Lanzhou University20171208202586740745Copyright © Shorokhov A.V., Prudskikh N.S., Semenov M.B., Krevchik V.D., Pyataev M.A., Golovatyuk S.E., Li T., Wang Y., 20252025Shorokhov A.V., Prudskikh N.S., Semenov M.B., Krevchik V.D., Pyataev M.A., Golovatyuk S.E., Li T., Wang Y.Shorokhov A.V., Prudskikh N.S., Semenov M.B., Krevchik V.D., Pyataev M.A., Golovatyuk S.E., Li T., Wang Y.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/688

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.

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.

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The authors declare that there are no conflicts of interest present.