Modeling for Temperature Dependent Effective ionization Coefficient of Si $p^+n$ Junction Diodes

Si $p^+n$ 접합 다이오드의 온도를 고려한 유효 이온화 계수 모델링

  • Chung Yong Sung (School of Digital Electric & Information Technology, Sorabol College)
  • 정용성 (서라벌대학 디지털전기정보학부)
  • Published : 2004.01.01

Abstract

In this paper, temperature dependence of effective ionization coefficient in Si is formulated as a single polynomial function of temperature, which allows analytical expressions for breakdown voltage of Si $p^+n$ junction as a function of temperature. The analytical breakdown voltages agree well with the simulation as well as the experimental ones reported within $3\%$ in error for the doping concentrations in the range of $10^{14}cm^{-3}{\~} 10^{17}cm^{-3}$ at 100K, 300K and 500K.

본 논문에서는 Si의 유효 이온화 계수를 온도 함수로 추출하였고, 이 유효 이온화 계수를 이용하여 Si $p^+n$ 접합에서의 항복 전압을 위한 해석적 표현식을 온도 함수로 유도하였다. 100K 300K 및 500K일 경우, 해석적 항복 전압 결과는 $10^{14}cm^{-3}{\~} 10^{17}cm^{-3}$의 농도 범위에서 실험 결과 및 시뮬레이션 결과와 비교하여 오차 범위 $3\%$ 이내로 잘 일치하였다.

Keywords

References

  1. W. Fulop, 'Calculation of Avalanche Breakdown of Silicon p-n Junctions,' Solid State Electronics, vol. 10, pp. 39-43, 1967 https://doi.org/10.1016/0038-1101(67)90111-6
  2. B. J. Baliga, Modern Power Devices, Wiley, New York, pp. 62-92, 1987
  3. S. L. Miller, 'Ionization Rates for Holes and Electrons in Silicon,' Physical Review, vol, 105, no. 4, pp. 1246-1249, 1957 https://doi.org/10.1103/PhysRev.105.1246
  4. Y. Okuto and C. R. Crowell, 'Threshold Energy Effect on Avalanche Breakdown Voltage in Semiconductor Junction,' Solid State Electronics, vol. 18, pp. 161-168, 1975 https://doi.org/10.1016/0038-1101(75)90099-4
  5. H. Kressel and G. Kupsky, 'The Effective Rate for Hot Carriers in GaAs,' INT. J. Electronics, vol. 20, no. 6, pp. 535-543, 1966 https://doi.org/10.1080/00207216608937887
  6. T. H. Moon, Y. I. Choi, and S. K. Chung, 'Calculation of Avalanche Breakdown Voltage of the InP $p^+n$ Junction,' Solid-State Electronics, vol. 37, no. 1, pp. 187-188, 1994 https://doi.org/10.1016/0038-1101(94)90125-2
  7. Y. S. Chung, S. Y. Han, Y. I. Choi, and S. K. Chung, 'Closed-form Analytical Expressions for the Breakdown Voltage of GaAs Parallel-plane $p^+n$ Junction in <100>, <110>, and <111> Orientations,' Solid State Electron., vol. 39, no. 11, pp. 1678-1680, 1996 https://doi.org/10.1016/0038-1101(96)00096-2
  8. K. G. McKay, 'Avalanche Breakdown in Silicon,' Physical Review, vol, 94, no. 4, pp. 877-884, 1954 https://doi.org/10.1103/PhysRev.94.877
  9. P. Mars, 'Temperature Dependence of Avalanche Breakdown Voltage in p-n Junctions,' Int. J. Electronics, vol. 32, no. 1, pp. 23-37, 1971 https://doi.org/10.1080/00207217208938266
  10. R. A. Kokosa, R. L. Davies, 'Avalanche Breakdown of Diffused Silicon p-n Junction,' IEEE Transactions on Electron Devices, vol. ED-13, no. 12, 1966
  11. S. Selberherr, Analysis and Simulation of Semiconductor Devices, Wien, Austria: Springer-Verlag, 1984
  12. R. Van Overstraeten and H. DeMan, 'Measurement of the Ionization Rates in Diffused Silicon p-n Junctions,' Solid State Electron., vol. 13, pp. 583-608, 1970 https://doi.org/10.1016/0038-1101(70)90139-5