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Matematicheskoe modelirovanie, 2016, Volume 28, Number 6, Pages 18–32 (Mi mm3736)  
This article is cited in 6 scientific papers (total in 6 papers)

The model of radiation-induced conductivity in silicon

A. V. Berezin, Yu. A. Volkov, M. B. Markov, I. A. Tarakanov

Keldysh Institute of Applied Mathematics of RAS
Full-text PDF (492 kB) Citations (6)
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Abstract: The conduction current excited by the external flux of penetrating radiation is considered. Quantum kinetic equations for conduction electron and valence band hole distribution functions in phase space of position and quasi-momentum are used. Effective masses, group velocities, densities of states are determined on the base of band theory. The approximation of continuous energy losses due to scattering on lattice defects is carried out. The model is validated by the comparison with the experimental data on the average electron speed dependence on electric field strength and on speed of temperature transmission from electrons to lattice. The calculation of silicon radiation conductivity is carried out, the accordance of results with theoretical estimates is demonstrated.
Keywords: kinetic equation, radiation conductivity, density of states, quasi-momentum.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00350_а
Received: 24.02.2015
English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 1, Pages 12–23
DOI: https://doi.org/10.1134/S2070048217010069
Bibliographic databases:
Document Type: Article
UDC: 537.8+519.63
Language: Russian
Citation: A. V. Berezin, Yu. A. Volkov, M. B. Markov, I. A. Tarakanov, “The model of radiation-induced conductivity in silicon”, Mat. Model., 28:6 (2016), 18–32; Math. Models Comput. Simul., 9:1 (2017), 12–23
Citation in format AMSBIB
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\by A.~V.~Berezin, Yu.~A.~Volkov, M.~B.~Markov, I.~A.~Tarakanov
\paper The model of radiation-induced conductivity in silicon
\jour Mat. Model.
\yr 2016
\vol 28
\issue 6
\pages 18--32
\mathnet{http://mi.mathnet.ru/mm3736}
\elib{https://elibrary.ru/item.asp?id=26414266}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 1
\pages 12--23
\crossref{https://doi.org/10.1134/S2070048217010069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85011957162}
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  • https://www.mathnet.ru/eng/mm/v28/i6/p18
    • This publication is cited in the following 6 articles:
    1. V. M. Kanevskii, I. A. Tarakanov, V. A. Fedorov, “Matematicheskoe modelirovanie radiatsionnoi provodimosti v sapfire s uchetom elektron-fononnogo vzaimodeistviya”, Preprinty IPM im. M. V. Keldysha, 2022, 015, 20 pp.  mathnet  crossref
    2. I. A. Barykov, I. Yu. Vichev, V. I. Zaitsev, V. M. Kanevsky, I. A. Tarakanov, V. A. Fedorov, “Radiation-Induced Processes in Wide-Gap Dielectrics”, J. Surf. Investig., 16:5 (2022), 693  crossref
    3. I. A. Barykov, I. Yu. Vichev, Yu. A. Volkov, V. I. Zaitsev, N. V. Zalozhnyi, V. M. Kanevskii, I. A. Tarakanov, V. A. Fedorov, “Matematicheskaya model radiatsionno-indutsirovannoi provodimosti v kvartse pri vozdeistvii moschnogo rentgenovskogo izlucheniya”, Preprinty IPM im. M. V. Keldysha, 2021, 018, 26 pp.  mathnet  crossref
    4. Yu. A. Volkov, K. K. Inozemtseva, M. B. Markov, I. A. Tarakanov, “Matematicheskaya model radiatsionnogo nagreva izdelii mikroelektroniki”, Preprinty IPM im. M. V. Keldysha, 2018, 099, 12 pp.  mathnet  crossref  elib
    5. Yu. A. Volkov, F. N. Voronin, K. K. Inozemtseva, M. B. Markov, A. V. Sysenko, “Model elektricheskikh i termomekhanicheskikh effektov v puchke elektronov”, Preprinty IPM im. M. V. Keldysha, 2017, 056, 20 pp.  mathnet  crossref
    6. F. N. Voronin, K. K. Inozemtseva, M. B. Markov, “The electromagnetic and termomechanical effect of electron beam on the solid barrier”, Math. Models Comput. Simul., 10:4 (2018), 407–417  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
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