Skip to main content
Erschienen in: Journal of Computational Electronics 3/2018

15.06.2018

Avalanche breakdown evolution under hot-carrier stress: a new microscopic simulation approach applied to a vertical power MOSFET

Erschienen in: Journal of Computational Electronics | Ausgabe 3/2018

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

During avalanche breakdown, hot carriers are generated due to impact ionization. In a MOSFET, some of these hot carriers impinge on the field oxide and can be captured in the oxide. Over time, this leads to an accumulation of fixed charges at the Si/SiO\(_2\) interface and consequently to a degradation of device characteristics. Among those characteristics, the drift of the avalanche breakdown voltage is one of the most important aspects of device reliability. In this study, we present the first microscopic simulation of the oxide charge generation due to hot carriers and their field-driven recombination under avalanche breakdown conditions in a vertical power MOSFET. The distribution functions of electrons and holes in the device are calculated by solving their coupled Boltzmann equations. Based on the hot-carrier distribution functions, the injection rates of hot electrons and holes into the field oxide are evaluated. The resulting drift of the avalanche breakdown voltage in this simulation is in good agreement with experimental results. The underlying device internal processes are discussed, and the gained insight might help to improve the reliability of power transistors.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Fischer, K., Shenai, K.: Dynamics of power MOSFET switching under unclamped inductive loading conditions. IEEE Trans. Electron Devices 43(6), 1007 (1996)CrossRef Fischer, K., Shenai, K.: Dynamics of power MOSFET switching under unclamped inductive loading conditions. IEEE Trans. Electron Devices 43(6), 1007 (1996)CrossRef
2.
Zurück zum Zitat Acovic, A., Rosa, G.L., Sun, Y.C.: A review of hot-carrier degradation mechanisms in MOSFETs. Microelectron. Reliab. 36(7–8), 845 (1996)CrossRef Acovic, A., Rosa, G.L., Sun, Y.C.: A review of hot-carrier degradation mechanisms in MOSFETs. Microelectron. Reliab. 36(7–8), 845 (1996)CrossRef
3.
Zurück zum Zitat Tyaginov, S., Starkov, I., Enichlmair, H., Park, J., Jungemann, C., Grasser, T.: Physics-based hot-carrier degradation models. ECS Trans. 35(4), 321 (2011)CrossRef Tyaginov, S., Starkov, I., Enichlmair, H., Park, J., Jungemann, C., Grasser, T.: Physics-based hot-carrier degradation models. ECS Trans. 35(4), 321 (2011)CrossRef
4.
Zurück zum Zitat Bina, M., Tyaginov, S., Franco, J., Rupp, K., Wimmer, Y., Osintsev, D., Kaczer, B., Grasser, T.: Predictive hot-carrier modeling of n-channel MOSFETs. IEEE Trans. Electron Devices 61(9), 3103 (2014)CrossRef Bina, M., Tyaginov, S., Franco, J., Rupp, K., Wimmer, Y., Osintsev, D., Kaczer, B., Grasser, T.: Predictive hot-carrier modeling of n-channel MOSFETs. IEEE Trans. Electron Devices 61(9), 3103 (2014)CrossRef
5.
Zurück zum Zitat Hong, S.M., Pham, A.T., Jungemann, C.: Deterministic solvers for the Boltzmann transport equation. Springer, Austria (2011)CrossRefMATH Hong, S.M., Pham, A.T., Jungemann, C.: Deterministic solvers for the Boltzmann transport equation. Springer, Austria (2011)CrossRefMATH
6.
Zurück zum Zitat Jabs, D., Jungemann, C., Bach, K.H.: A robust algorithm for microscopic simulation of avalanche breakdown in semiconductor devices. IEEE Trans. Electron Devices 62(8), 2614 (2015)CrossRef Jabs, D., Jungemann, C., Bach, K.H.: A robust algorithm for microscopic simulation of avalanche breakdown in semiconductor devices. IEEE Trans. Electron Devices 62(8), 2614 (2015)CrossRef
7.
Zurück zum Zitat Vecchi, M.C., Rudan, M.: Modeling electron and hole transport with full-band structure effects by means of the spherical-harmonics expansion of the BTE. IEEE Trans. Electron Devices 45(1), 230 (1998)CrossRef Vecchi, M.C., Rudan, M.: Modeling electron and hole transport with full-band structure effects by means of the spherical-harmonics expansion of the BTE. IEEE Trans. Electron Devices 45(1), 230 (1998)CrossRef
8.
Zurück zum Zitat Jin, S., Hong, S.M., Jungemann, C.: An efficient approach to include full-band effects in deterministic Boltzmann equation solver based on high-order spherical harmonics expansion. IEEE Trans. Electron Devices 58(5), 1287 (2011)CrossRef Jin, S., Hong, S.M., Jungemann, C.: An efficient approach to include full-band effects in deterministic Boltzmann equation solver based on high-order spherical harmonics expansion. IEEE Trans. Electron Devices 58(5), 1287 (2011)CrossRef
9.
Zurück zum Zitat Gnudi, A., Ventura, D., Baccarani, G., Odeh, F.: Two-dimensional NOSFET simulation by means of multidimensional spherical harmonics expansion of the Boltzmann transport equation. In: Proceedings of 1992 European Solid State Device Research Conference, pp. 917–924 (1992) Gnudi, A., Ventura, D., Baccarani, G., Odeh, F.: Two-dimensional NOSFET simulation by means of multidimensional spherical harmonics expansion of the Boltzmann transport equation. In: Proceedings of 1992 European Solid State Device Research Conference, pp. 917–924 (1992)
10.
Zurück zum Zitat Liang, W., Goldsman, N., Mayergoyz, I., Oldiges, P.J.: 2-D MOSFET modeling including surface effects and impact ionization by self-consistent solution of the Boltzmann, Poisson, and hole-continuity equations. IEEE Trans. Electron Devices 44(2), 257 (1997)CrossRef Liang, W., Goldsman, N., Mayergoyz, I., Oldiges, P.J.: 2-D MOSFET modeling including surface effects and impact ionization by self-consistent solution of the Boltzmann, Poisson, and hole-continuity equations. IEEE Trans. Electron Devices 44(2), 257 (1997)CrossRef
11.
Zurück zum Zitat Starkov, I., Tyaginov, S., Enichlmair, H., Cervenka, J., Jungemann, C., Carniello, S., Park, J.M., Ceric, H., Grasser, T.: Hot-carrier degradation caused interface state profile-Simulation versus experiment. J. Vacuum Sci. Technol. B 29, 01AB09 (2011)CrossRef Starkov, I., Tyaginov, S., Enichlmair, H., Cervenka, J., Jungemann, C., Carniello, S., Park, J.M., Ceric, H., Grasser, T.: Hot-carrier degradation caused interface state profile-Simulation versus experiment. J. Vacuum Sci. Technol. B 29, 01AB09 (2011)CrossRef
12.
Zurück zum Zitat Hess, K., Kizilyalli, I.C., Lyding, J.W.: Giant isotope effect in hot electron degradation of metal oxide silicon devices. IEEE Trans. Electron Devices 45(2), 406 (1998)CrossRef Hess, K., Kizilyalli, I.C., Lyding, J.W.: Giant isotope effect in hot electron degradation of metal oxide silicon devices. IEEE Trans. Electron Devices 45(2), 406 (1998)CrossRef
13.
Zurück zum Zitat Bravaix, A., Guerin, C., Huard, V., Roy, D., Roux, J.M., Vincent, E.: Hot-carrier acceleration factors for low power management in DC-AC stressed 40 nm NMOS node at high temperature. In: Proceedings of IEEE International Reliability Physics Symposium 2009, pp. 531–548 (2009) Bravaix, A., Guerin, C., Huard, V., Roy, D., Roux, J.M., Vincent, E.: Hot-carrier acceleration factors for low power management in DC-AC stressed 40 nm NMOS node at high temperature. In: Proceedings of IEEE International Reliability Physics Symposium 2009, pp. 531–548 (2009)
14.
Zurück zum Zitat Reggiani, S., Poli, S., Denison, M., Gnani, E., Gnudi, A., Baccarani, G., Pendharkar, S., Wise, R.: Physics-based analytical model for HCS degradation in STI-LDMOS transistors. IEEE Trans. Electron Devices 58(9), 3072 (2011)CrossRef Reggiani, S., Poli, S., Denison, M., Gnani, E., Gnudi, A., Baccarani, G., Pendharkar, S., Wise, R.: Physics-based analytical model for HCS degradation in STI-LDMOS transistors. IEEE Trans. Electron Devices 58(9), 3072 (2011)CrossRef
15.
Zurück zum Zitat Tyaginov, S., Bina, M., Franco, J., Wimmer, Y., Osintsev, D., Kaczer, B., Grasser, T.: A predictive physical model for hot-carrier degradation in ultra-scaled MOSFETs. In: Proceedings of International Conference Simulation of Semiconductor Processes and Devices 2014, pp. 89–92 (2014) Tyaginov, S., Bina, M., Franco, J., Wimmer, Y., Osintsev, D., Kaczer, B., Grasser, T.: A predictive physical model for hot-carrier degradation in ultra-scaled MOSFETs. In: Proceedings of International Conference Simulation of Semiconductor Processes and Devices 2014, pp. 89–92 (2014)
16.
Zurück zum Zitat Ning, T.H., Osburn, C.M., Yu, H.N.: Emission probability of hot electrons from silicon into silicon dioxide. J. Appl. Phys. 48, 286 (1977)CrossRef Ning, T.H., Osburn, C.M., Yu, H.N.: Emission probability of hot electrons from silicon into silicon dioxide. J. Appl. Phys. 48, 286 (1977)CrossRef
17.
Zurück zum Zitat Selmi, L., Sangiorgi, E., Bez, R., Ricco, B.: Measurement of the hot hole injection probability from Si into SiO\(_2\) in p-MOSFETs. In: IEDM Technical Digest, pp. 333–336 (1993) Selmi, L., Sangiorgi, E., Bez, R., Ricco, B.: Measurement of the hot hole injection probability from Si into SiO\(_2\) in p-MOSFETs. In: IEDM Technical Digest, pp. 333–336 (1993)
18.
Zurück zum Zitat Lakshmanna, V., Vengurlekar, A.: Logarithmic detrapping response for holes injected into SiO\(_2\) and the influence of thermal activation and electric fields. J. Appl. Phys. 63(9), 4548 (1988)CrossRef Lakshmanna, V., Vengurlekar, A.: Logarithmic detrapping response for holes injected into SiO\(_2\) and the influence of thermal activation and electric fields. J. Appl. Phys. 63(9), 4548 (1988)CrossRef
19.
Zurück zum Zitat Jin, S., Wettstein, A., Choi, W., Bufler, F.M., Lyumkis, E. (2009) Gate current calculations using spherical harmonic expansion of Boltzmann equation. In: 2009 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD), pp. 1–4 (2009) Jin, S., Wettstein, A., Choi, W., Bufler, F.M., Lyumkis, E. (2009) Gate current calculations using spherical harmonic expansion of Boltzmann equation. In: 2009 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD), pp. 1–4 (2009)
20.
Zurück zum Zitat Zaka, A., Rafhay, Q., Iellina, M., Palestri, P., Clerc, R., Rideau, D., Garetto, D., Dornel, E., Singer, J., Pananakakis, G., Tavernier, C., Jaouen, H.: On the accuracy of current TCAD hot carrier injection models in nanoscale devices. Solid-State Electron. 54(12), 1669 (2010)CrossRef Zaka, A., Rafhay, Q., Iellina, M., Palestri, P., Clerc, R., Rideau, D., Garetto, D., Dornel, E., Singer, J., Pananakakis, G., Tavernier, C., Jaouen, H.: On the accuracy of current TCAD hot carrier injection models in nanoscale devices. Solid-State Electron. 54(12), 1669 (2010)CrossRef
21.
Zurück zum Zitat Synopsys®, Inc., Mountain View, CA, Sentaurus ™ Device User Guide, K-2015.06 edn (2015) Synopsys®, Inc., Mountain View, CA, Sentaurus ™ Device User Guide, K-2015.06 edn (2015)
22.
Zurück zum Zitat Kamakura, Y., Mizuno, H., Yamaji, M., Morifuji, M., Taniguchi, K., Hamaguchi, C., Kunikiyo, T., Takenaka, M.: Impact ionization model for full band Monte Carlo simulation. J. Appl. Phys. 75, 3500 (1994)CrossRef Kamakura, Y., Mizuno, H., Yamaji, M., Morifuji, M., Taniguchi, K., Hamaguchi, C., Kunikiyo, T., Takenaka, M.: Impact ionization model for full band Monte Carlo simulation. J. Appl. Phys. 75, 3500 (1994)CrossRef
23.
Zurück zum Zitat Kamakura, Y., Kawashima, I., Deguchi, K., Taniguchi, K. (1999) Monte Carlo simulation of quantum yields exceeding unity as a probe of high-energy hole scattering rates in Si. In: IEDM Technical Digest, pp. 727–730 (1999) Kamakura, Y., Kawashima, I., Deguchi, K., Taniguchi, K. (1999) Monte Carlo simulation of quantum yields exceeding unity as a probe of high-energy hole scattering rates in Si. In: IEDM Technical Digest, pp. 727–730 (1999)
24.
Zurück zum Zitat Kamakura, Y., Kawashima, I., Deguchi, K., Taniguchi, K.: Verification of hot hole scattering rates in silicon by quantum-yield experiment. J. Appl. Phys. 88, 5802 (2000)CrossRef Kamakura, Y., Kawashima, I., Deguchi, K., Taniguchi, K.: Verification of hot hole scattering rates in silicon by quantum-yield experiment. J. Appl. Phys. 88, 5802 (2000)CrossRef
25.
Zurück zum Zitat van Overstraeten, R., de Man, H.: Measurement of the ionization rates in diffused silicon p-n junctions. Solid State Electron. 13, 583 (1970)CrossRef van Overstraeten, R., de Man, H.: Measurement of the ionization rates in diffused silicon p-n junctions. Solid State Electron. 13, 583 (1970)CrossRef
26.
Zurück zum Zitat Grant, W.N.: Electron and hole ionization rates in epitaxial silicon at high electric fields. Solid State Electron. 16, 1189 (1973)CrossRef Grant, W.N.: Electron and hole ionization rates in epitaxial silicon at high electric fields. Solid State Electron. 16, 1189 (1973)CrossRef
27.
Zurück zum Zitat DiMaria, D.J., Theis, T.N., Kirtley, J.R., Pesavento, F.L., Dong, D.W.: Electron heating in silicon dioxide and off-stoichiometric silicon dioxide films. J. Appl. Phys. 57, 1214 (1985)CrossRef DiMaria, D.J., Theis, T.N., Kirtley, J.R., Pesavento, F.L., Dong, D.W.: Electron heating in silicon dioxide and off-stoichiometric silicon dioxide films. J. Appl. Phys. 57, 1214 (1985)CrossRef
28.
Zurück zum Zitat Selberherr, S.: Analysis and Simulation of Semiconductor Devices. Springer, Austria (1984)CrossRef Selberherr, S.: Analysis and Simulation of Semiconductor Devices. Springer, Austria (1984)CrossRef
29.
Zurück zum Zitat Synopsys®, Inc., Mountain View, CA, Mesh Generation Tools User Guide, G-2012.06 edn (2012) Synopsys®, Inc., Mountain View, CA, Mesh Generation Tools User Guide, G-2012.06 edn (2012)
30.
Zurück zum Zitat Saad, Y., Schultz, M.H.: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7(3), 856 (1986)MathSciNetCrossRefMATH Saad, Y., Schultz, M.H.: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7(3), 856 (1986)MathSciNetCrossRefMATH
31.
Zurück zum Zitat Petra, C.G., Schenk, O., Lubin, M., Gärtner, K.: An augmented incomplete factorization approach for computing the Schur complement in stochastic optimization. SIAM J. Sci. Comput. 36(2), C139 (2014)MathSciNetCrossRef Petra, C.G., Schenk, O., Lubin, M., Gärtner, K.: An augmented incomplete factorization approach for computing the Schur complement in stochastic optimization. SIAM J. Sci. Comput. 36(2), C139 (2014)MathSciNetCrossRef
Metadaten
Titel
Avalanche breakdown evolution under hot-carrier stress: a new microscopic simulation approach applied to a vertical power MOSFET
Publikationsdatum
15.06.2018
Erschienen in
Journal of Computational Electronics / Ausgabe 3/2018
Print ISSN: 1569-8025
Elektronische ISSN: 1572-8137
DOI
https://doi.org/10.1007/s10825-018-1196-7

Weitere Artikel der Ausgabe 3/2018

Journal of Computational Electronics 3/2018 Zur Ausgabe

Neuer Inhalt