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Math modeling of electronic processes and deep level ionization kinetic

https://doi.org/10.20914/2310-1202-2016-2-78-86

Abstract

Mathematical model of kinetics of charge deep levels in the forbidden band of the semiconductor, which takes into account the processes of carriers charge exchange between deep levels and both allowed bands, which adequately describes the nature of the non-exponential relaxation capacity, is proposed. A method for determining the spectrum of deep level transient spectroscopy having greater accuracy and resolution in comparison with traditional methods using a relaxation time approximation. The results of numerical experiments using the kinetics charge deep levels model in the frameworks of proposed approximations are presented. Account of generational and recombination components of charge exchange processes of all deep levels in the forbidden band of the semiconductor leads to the conclusion that the kinetics of ionization of these centers, in general, does not obey the Boltzmann statistics. Account of charge exchange processes between the deep levels a significantly effects on their recharge kinetics. Numerical analysis results show that the processes of deep levels ionization are more complicated than the staged-type kinetics. It is shown that in most cases stagedtype kinetics at deep level transient spectroscopy leads to significant methodological error in the parameters determination. From the results of numerical analysis follows, that the density of surface electronic states has a significant impact on the overall recharged kinetics of deep levels. Donor deep levels recharge analysis revealed not only the features of the deep levels ionization in semiconductors, but also allowed to answer some questions that are typical to all deep-level transient spectroscopy in general.

About the Authors

A. V. Budanov
Voronezh state university of engineering technologies
Russian Federation

Dr. Sci. (Phys.–Math.), associate professor, chief of department, physic, heat engineering and power engineering department,

Revolution Av., 19 Voronezh



E. A. Tatokchin
Voronezh state university of engineering technologies

Cand. Sci. (Phys.–Math.), associate professor, associate professor of physic, heat engineering  and power engineering department, 

Revolution Av., 19 Voronezh



G. I. Kotov
Voronezh state university of engineering technologies

Dr. Sci. (Phys.–Math.), associate professor, professor of physic, heat engineering and power engineering department, 

Revolution Av., 19 Voronezh



D. S. Sayko
Voronezh state university of engineering technologies

Dr. Sci. (Phys.–Math.), professor, chief of department, higher mathematics department, 

Revolution Av., 19 Voronezh



References

1. Berman L. S. Emkostnaya spectroskopiya glubokich centrov v poluprovodnikach [Capacitive spectroscopy of deep centers in semiconductors] Leningrad, Nauka, 1981 (in Russian).

2. Lang D. V. Deep level transient spectroscopy: A new method to characterize traps in semiconductors. J. Appl. Physics. 1974, vol. 45, no 7, pp. 3023–3033. DOI: 10.1063/1.1663719

3. Lebedev A. A. Capacitive spectroscopy of deep levels in the exchange of carriers with both allowed zones. Fizika i tekhnika poluprovodnikov [Physics and Technology of Semiconductor] 1997, vol. 31, no 4, pp. 437–441. (in Russian).

4. Tatokchin E. A. Capacitive spectroscopy of deep levels at carriers exchange between the two levels and allowed bands. Vestnik VGU. [Proceedings of VSU], 2008, no. 2, pp. 60–70. (in Russian).

5. Mandelis A., Xia J. Deep level photothermal spectroscopy: Physical principles and applications to semi-insulating GaAs band-gap multiple trap states. J. Appl. Phys. 2008, no. 103, pp. 043704–1 – 043704–17. DOI:10.1063/1.2842401

6. Denisov A.A., Laktyushin V.N., Sadof’ev Yu.G. Relaxation spectroscopy of deep levels. Obzory po elektronnoi tekhnike [Reviews in electronic engineering] 1985, no. 7, pp. 54 (in Russian).

7. Shalimova K.V. Fizika poluprovodnikov [Semiconductor physics]. Moscow, Energoatomizdat, 1985, 392 p. (in Russian).

8. GudzevV.V., Zubkov M.V., Yulkin A.V. Software and analytical database relaxation spectroscopy of deep levels. Vestnik RGRTU [Proceedings of RSREU] 2011, vol. 36, pp. 75–81. (in Russian).

9. Khan A., Masafumi Y. Deep Level Transient Spectroscopy: A Powerful Experimental Technique for Understanding the Physics and Engineering of PhotoCarrier Generation, Escape, Loss and Collection Processes in Photovoltaic Materials. Solar Cells – New Approaches and Reviews, 2015. DOI: 10.5772/59419

10. Bezryadin N.N., Kotov G.I., Kadantsev A.V. Method of recording and analysis of isothermal capacitance relaxation semiconductor heterostructures. Pribori I tekchnika experimenta [Instruments and Experimental Techniques] 2010, vol. 3, pp. 119–122. (in Russian).


Review

For citations:


Budanov A.V., Tatokchin E.A., Kotov G.I., Sayko D.S. Math modeling of electronic processes and deep level ionization kinetic. Proceedings of the Voronezh State University of Engineering Technologies. 2016;(2):78-86. (In Russ.) https://doi.org/10.20914/2310-1202-2016-2-78-86

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ISSN 2226-910X (Print)
ISSN 2310-1202 (Online)