Yaroslavl State University

V. S. Kuznetsov

P. A. Kuznetsov

An analytical solution of an avalanche current in p—i—n−structures is obtained. The impurity level and a generation−recombination phenomena are taken into consideration. P—i—n–structures current−voltage characteristic is derived. The results explain pattern formation and hysteresis under strong electrical field.

1. Grekhov, I. V. Lavinnyy proboy p—n−perekhoda v poluprovodnikakh / I. V. Grekhov Yu. N. Serezhkin. − L. : Energiya, 1980.
2. Gafiychuk, V. V. Mikroplazmy v ideal'no odnorodnykh p—i—n−strukturakh. / V. V. Gafiychuk, B. I. Datsko, B. S. Kerner, V. V. Osipov // FTP. − 1990. − T. 24, № 4. − S. 724.
3. Rodin, P. Tunneling−assisted impact ionization fronts in semiconductors / P. Rodin, U. Ebert, W. Hundsdorfer, I. Grekhov // J. Appl. Phys. − 2002. − V. 92, N 2. − P. 958—964.
4. Kyuregyan, A. C. O mekhanizme proboya p−n perekhodov pri bol'shikh skorostyakh narastaniya obratnogo smeshcheniya / A. C. Kyuregyan // Pis'ma v ZhTF. − 2005. − T. 31, vyp. 24. − S. 11—19.
5. Grekhov, I. V. O modeli mul'tistrimernogo pereklyucheniya vysokovol'tnykh kremnievykh p—n−perekhodov za porogom zinerovskogo proboya / I. V. Grekhov, I. P. Rodin // Pis'ma v ZhTF. − 2007. − T. 33, vyp. 4. − S. 87—94.
6. Shell', E. Samoorganizatsiya v poluprovodnikakh. Neravnovesnye fazovye perekhody v poluprovodnikakh, obuslovlennye generatsionno−rekombinatsionnymi protsessami. / E. Shell' − M. : Mir, 1991. − 464 s.
7. Milns, A. Primesi s glubokimi urovnyami v poluprovodnikakh. / A.Milns. − M. : Mir, 1977. − 124 s.
8. Landau, L. D. Kvantovaya mekhanika. Nerelyativistskaya mekhanika / L. D. Landau, E. M. Lifshits. − M. : Nauka, 1989. − 761 s.
9. Levinshtein, M. Breakdown phenomena in semiconductors and semiconductor devices / M. Levinshtein, J. Kostamovaara, S. Vainshtein. − Singapore : World Scientific Publishing Co. Ptc. Ltd., 2005.
10. Astrov, Yu. A. Tokovye struktury v Si(Zn). / Yu. A. Astrov // FTP. − 1993. − T. 27, № 11/12. S. 1971—1989.
11. Astrov, Yu. A. Issledovanie struktury tokovykh nitey v Si(Zn) / Yu. A. Astrov, S. A. Khoreev // FTP. − 1993.− T. 27, № 11/12. − S. 1024—2029.