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Models for numerical device simulations of crystalline silicon solar cells—a review

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Abstract

Current issues of numerical modeling of crystalline silicon solar cells are reviewed. Numerical modeling has been applied to Si solar cells since the early days of computer modeling and has recently become widely used in the photovoltaics (PV) industry. Simulations are used to analyze fabricated cells and to predict effects due to device changes. Hence, they may accelerate cell optimization and provide quantitative data e.g. of potentially possible improvements, which may form a base for the decision making on development strategies. However, to achieve sufficiently high prediction capabilities, several models had to be refined specifically to PV demands, such as the intrinsic carrier density, minority carrier mobility, recombination at passivated surfaces, and optical models. Currently, the most unresolved issue is the modeling of the emitter layer on textured surfaces, the hole minority carrier mobility, Auger recombination at low dopant densities and intermediate injection levels, and fine-tuned band parameters as a function of temperature. Also, it is recommended that the widely used software in the PV community, PC1D should be extended to Fermi-Dirac statistics.

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References

  1. van Sark, W.G.J.H.M., Alsema, E.A., Junginger, H.M., de Moor, H.H.C., Schaeffer, G.J.: Prog. Photovolt. 16, 441 (2008)

    Article  Google Scholar 

  2. Hossain, T.M.: J. Manag. Mark. Res. 6, 1 (2011)

    MathSciNet  Google Scholar 

  3. Sentaurus. Synopsys, Mountain View, CA

  4. Atlas. Silvaco, Santa Clara, CA

  5. MicroTec. Siborg Systems Inc, Waterloo, Canada

  6. van Roosbroeck, W.: Bell Syst. Tech. J. 29, 560 (1950)

    Google Scholar 

  7. Gummel, H.: IEEE Trans. Electron Devices 27, 1520 (1964)

    Google Scholar 

  8. Gwyn, C.W., Scharfetter, D.L., Wirth, J.L.: IEEE Trans. Nucl. Sci. 14, 153 (1967)

    Article  Google Scholar 

  9. Scharfetter, D., Gummel, H.: IEEE Trans. Electron Devices 16, 64 (1969)

    Article  Google Scholar 

  10. Fossum, J.: Solid-State Electron. 19, 269 (1976)

    Article  Google Scholar 

  11. Fossum, J.G.: IEEE Trans. Electron Devices 24, 322 (1977)

    Article  Google Scholar 

  12. Graham, E.D., Hauser, J.R.: Solid-State Electron. 15, 303 (1972)

    Article  Google Scholar 

  13. Dunbar, P.M., Hauser, J.R.: In: Proceedings of the 12th IEEE Photovoltaic Specialists Conference. IEEE Press, New York (1976)

    Google Scholar 

  14. Hauser, J.R., Dunbar, P.M.: IEEE Trans. Electron Devices 24, 305 (1977)

    Article  Google Scholar 

  15. Fang, C.R., Hauser, J.R.: In: Proceedings of the 13th IEEE Photovoltaic Specialists Conference, pp. 1306–1311. IEEE Press, New York (1978)

    Google Scholar 

  16. Fang, C.R., Hauser, J.R.: In: Proceedings of the 13th IEEE Photovoltaic Specialists Conference, pp. 1318–1326. IEEE Press, New York (1978)

    Google Scholar 

  17. Lundstrom, M.S.: Ph.D. thesis, School of Electrical Engineering, Purdue University, West Lafayette, IN (1980)

  18. Girardini, K., Jacobsen, S.: Tech. Rep. N87-22301, NASA, Scientific and Technical Information (STI) (1986)

  19. Schwartz, R.J., Turner, G.B.: In: Proceedings of the 19th IEEE Photovoltaic Specialists Conference, pp. 19–24. IEEE Press, New York (1987)

    Google Scholar 

  20. Schwartz, R.J., Lundstrom, M.S., Nasby, R.: IEEE Trans. Electron Devices 28, 264 (1981)

    Article  Google Scholar 

  21. Banghart, E.K., Schwartz, R.J., Gray, J.L.: In: Proceedings of the 18th IEEE Photovoltaic Specialists Conference, pp. 825–830. IEEE Press, New York (1985)

    Google Scholar 

  22. Gray, J.: Ph.D. thesis, School of Electrical Engineering, Purdue University, West Lafayette, IN (1982)

  23. Gray, J.L., Schwartz, R.J., Lundstrom, M.S., Nasby, R.D.: In: Proceedings of the 16th IEEE Photovoltaic Specialists Conference, pp. 437–441. IEEE Press, New York (1982)

    Google Scholar 

  24. Gray, J.L., Schwartz, R.J.: In: Proceedings of the 17th IEEE Photovoltaic Specialists Conference, pp. 1297–1302. IEEE Press, New York (1984)

    Google Scholar 

  25. Banghart, E., Gray, J., Schwarz, R.: In: Proceedings of the 20th IEEE Photovoltaic Specialists Conference, pp. 717–722. IEEE Press, New York (1988)

    Google Scholar 

  26. Gray, J.L., Schwartz, R.J.: In: Proceedings of the 18th IEEE Photovoltaic Specialists Conference, pp. 568–572. IEEE Press, New York (1985)

    Google Scholar 

  27. Mokashi, A.R., Daud, T., Kachare, A.H.: In: Proceedings of the 18th IEEE Photovoltaic Specialists Conference, pp. 573–577. IEEE Press, New York (1985)

    Google Scholar 

  28. Pinto, M.R., Rafferty, C.S., Yeager, H.R., Dutton, R.W.: Tech. rep., Stanford Electronics Laboratories, Stanford University (1985)

  29. Ghannam, M., Demesmaeker, E., Nijs, J., Mertens, R., Van Overstraeten, R.: In: Proceedings of the 11th European Photovoltaic Solar Energy Conference, pp. 45–48. Harwood Academic Publishers, Chur (1992)

    Google Scholar 

  30. Rover, D.T., Basore, P.A., Thorson, G.M.: In: Proceedings of the 18th IEEE Photovoltaic Specialists Conference, pp. 703–709. IEEE Press, New York (1985)

    Google Scholar 

  31. Basore, P.A., Rover, D.T., Smith, A.W.: In: Proceedings of the 20th IEEE Photovoltaic Specialists Conference, pp. 389–396. IEEE Press, New York (1988)

    Google Scholar 

  32. Basore, P.A.: IEEE Trans. Electron Devices 37, 337 (1990)

    Article  Google Scholar 

  33. Thorson, G.M., Basore, P.A.: Comput. Mech. Publ. 2, 6 (1991)

    Google Scholar 

  34. Buturla, E.M., Cottrell, P.E., Grossman, B.M., Salsburg, K.A.: IBM J. Res. Dev. 25, 218 (1981)

    Article  Google Scholar 

  35. Angermann, L., Wang, S.: Appl. Numer. Math. 46, 19 (2003)

    MathSciNet  MATH  Google Scholar 

  36. Engl, W.L., Dirks, H.K., Meinerzhagen, B.: Proc. IEEE 71, 10 (1983)

    Article  Google Scholar 

  37. Basore, P.A.: In: Proceedings of the 22nd IEEE Photovoltaic Specialists Conference, pp. 299–302. IEEE Press, New York (1991)

    Google Scholar 

  38. Basore, P.A., Clugston, D.A.: In: Proceedings of the 25th IEEE Photovoltaic Specialists Conference, pp. 377–381. IEEE Press, New York (1996)

    Google Scholar 

  39. Clugston, D.A., Basore, P.A.: In: Proceedings of the 26th IEEE Photovoltaic Specialists Conference, pp. 207–210. IEEE Press, New York (1997)

    Google Scholar 

  40. Gray, J.L.: In: Proceedings of the 22nd IEEE Photovoltaic Specialists Conference, pp. 436–438. IEEE Press, New York (1991)

    Google Scholar 

  41. Froitzheim, A., Stangl, R., Kriegel, M., Elstner, L., Fuhs, W.: In: Proceedings of the 3rd World Conference on Photovoltaic Energy Conversion, pp. 279–282. IEEE Press, New York (2003)

    Google Scholar 

  42. Liang, M., Law, M.L.: IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. 13, 1235 (1994)

    Article  Google Scholar 

  43. Fossum, J.G., Sarkar, D., Mathew, L., Rao, R., Jawarani, D., Law, M.E.: In: Proceedings of the 35th IEEE Photovoltaic Specialists Conference, pp. 792–797. IEEE Press, New York (2010)

    Google Scholar 

  44. Jimeno, J.C., Uriarte, S., Zamora, J.J., Icaran, C.: In: Proceedings of the 10th European Photovoltaic Solar Energy Conference, pp. 75–78. Kluwer Academic, Dordrecht (1991)

    Google Scholar 

  45. Bosso, S., Shamsi, T.A., Krebs, K.H., Manfredotti, C.: In: Proceedings of the 18th IEEE Photovoltaic Specialists Conference, pp. 710–714. IEEE Press, New York (1985)

    Google Scholar 

  46. Bank, R.E., Rose, D.J., Fichtner, W.: IEEE Trans. Electron Devices 30, 1031 (1983)

    Article  Google Scholar 

  47. Müller, S., Kells, K., Fichtner, W.: IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. 11, 855 (1992)

    Article  Google Scholar 

  48. Heiser, G., Pommerell, C., Weis, J., Fichtner, W.: IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. 10, 1218 (1991)

    Article  Google Scholar 

  49. Aberle, A.G., Heiser, G., Green, M.A.: Sol. Energy Mater. Sol. Cells 34, 149 (1994)

    Article  Google Scholar 

  50. Heiser, G., Aberle, A.G., Wenham, S.R., Green, M.A.: Microelectron. J. 26(2/3), 273 (1995)

    Article  Google Scholar 

  51. Aberle, A.G., Altermatt, P.P., Heiser, G., Robinson, S.J., Wang, A., Zhao, J., Krumbein, U., Green, M.A.: J. Appl. Phys. 77, 3491 (1995)

    Article  Google Scholar 

  52. Zhao, J., Wang, A., Altermatt, P., Green, M.A.: Appl. Phys. Lett. 66, 3636 (1995)

    Article  Google Scholar 

  53. Altermatt, P.P., Heiser, G., Aberle, A.G., Wang, A., Zhao, J., Robinson, S.J., Bowden, S., Green, M.A.: Prog. Photovolt. 4, 399 (1996)

    Article  Google Scholar 

  54. Glunz, S.W., Schumacher, J., Warta, W., Knobloch, J., Wettling, W.: Prog. Photovolt. 4, 415 (1996)

    Article  Google Scholar 

  55. Schumacher, J.O., Hebling, C., Warta, W.: In: Proceedings of the 14th European Photovoltaic Solar Energy Conference, pp. 1467–1471. H.S. Stephens and Associates, Bedford (1997)

    Google Scholar 

  56. Granek, F., Hermle, M., Huljic, D.M., Schultz-Wittmann, O., Glunz, S.W.: Prog. Photovolt. 17, 47 (2009)

    Article  Google Scholar 

  57. Kluska, S., Granek, F., Ruediger, M., Hermle, M., Glunz, S.W.: Sol. Energy Mater. Sol. Cells 94, 568 (2010)

    Article  Google Scholar 

  58. Schön, J., Warta, W.: In: Proceedings of the 23rd European Photovoltaic Solar Energy Conference, pp. 1851–1854. WIP-Renewable Energies, Munich (2008)

    Google Scholar 

  59. Zechner, C., Fath, P., Willeke, G., Bucher, E.: In: Proceedings of the 14th European Photovoltaic Solar Energy Conference, pp. 69–72. H.S. Stephens and Associates, Bedford (1997)

    Google Scholar 

  60. Hahn, G., Zechner, C., Rinio, M., Fath, P., Willeke, G., Bucher, E.: J. Appl. Phys. 86, 7179 (1999)

    Article  Google Scholar 

  61. Aberle, A.G., Kuhlmann, B., Meyer, R., Hübner, A., Hampe, C., Hezel, R.: Prog. Photovolt. 4, 193 (1996)

    Article  Google Scholar 

  62. Kuhlmann, B., Aberle, A.G., Hezel, R.: IEEE Trans. Electron Devices 47, 2167 (2000)

    Article  Google Scholar 

  63. Altermatt, P.P., Dreissigacker, S., Yang, Y., Sprodowski, C., Dezhdar, T., Koc, S., Veith, B., Herrman, S., Bock, R., Bothe, K., Schmidt, J., Brendel, R.: In: Proceedings of the 24th European Photovoltaic Solar Energy Conference, pp. 901–906. WIP-Renewable Energies, Munich (2009)

    Google Scholar 

  64. Nijs, J., Demesmaeker, E., Szlufcik, J., Poortmans, J., Frisson, L., De Clercq, K., Ghannam, M.: In: Proceedings of the 1st World Conference on Photovoltaic Energy Conversion, pp. 1242–1249. IEEE Press, New York (1994)

    Chapter  Google Scholar 

  65. Peters, S., Leihkauf, R., Wagemann, H.G., Boit, C.: In: Proceedings of the 19th European Photovoltaic Solar Energy Conference, pp. 690–693. WIP-Renewable Energies, Munich (2004)

    Google Scholar 

  66. Franklin, E., Blakers, A.: In: Proceedings of the 19th European Photovoltaic Solar Energy Conference, pp. 1149–1152. WIP-Renewable Energies, Munich (2004)

    Google Scholar 

  67. Nakamura, K., Isaka, T., Funakoshi, Y., Tonomura, Y., Machida, T., Okamoto, K.: In: Proceedings of the 20th European Photovoltaic Solar Energy Conference, pp. 789–792. WIP-Renewable Energies, Munich (2005)

    Google Scholar 

  68. Lu, M., Bowden, S., Das, U., Birkmir, R.: In: Proceedings of the 22nd European Photovoltaic Solar Energy Conference, pp. 924–927. WIP-Renewable Energies, Munich (2007)

    Google Scholar 

  69. Ahn, C., Drew, K., Cole, A., Heasman, K.C., Brown, L., Cowern, N.E.B.: In: Proceedings of the 25th European Photovoltaic Solar Energy Conference, pp. 2548–2553. WIP-Renewable Energies, Munich (2010)

    Google Scholar 

  70. Aleman, M., Rosseel, E., van Wichelen, K., Pawlak, B.J., Janssens, T., Dross, F., Posthuma, N.E., Poortmans, J.: In: Proceedings of the 35th IEEE Photovoltaic Specialists Conference, pp. 296–299. IEEE Press, New York (2010)

    Google Scholar 

  71. Heiser, G., Altermatt, P.P., Williams, A., Sproul, A., Green, M.A.: In: Proceedings of the 13th European Photovoltaic Solar Energy Conference, pp. 447–450. H.S. Stephens and Associates, Bedford (1995)

    Google Scholar 

  72. Altermatt, P.P., Heiser, G.: J. Appl. Phys. 91, 4271 (2002)

    Article  Google Scholar 

  73. Altermatt, P.P., Heiser, G.: J. Appl. Phys. 92, 2561 (2002)

    Article  Google Scholar 

  74. Ulzhöfer, C., Altermatt, P.P., Harder, N.P., Brendel, R.: J. Appl. Phys. 107, 104509 (2010)

    Article  Google Scholar 

  75. Kelzenberg, M.D., Turner-Evans, D.B., Kayes, B.M., Filler, M.A., Putnam, M.C., Lewis, N.S., Atwater, H.A.: In: Proceedings of the 33rd IEEE Photovoltaic Specialists Conference, pp. 39–44. IEEE Press, New York (2008)

    Google Scholar 

  76. Kelzenberg, M.D., Putnam, M.C., Turner-Evans, D.B., Lewis, N.S., Atwater, H.A.: In: Proceedings of the 34th IEEE Photovoltaic Specialists Conference, pp. 112–117. IEEE Press, New York (2009)

    Google Scholar 

  77. Conti, P., Tomizawa, M., Yoshii, A.: Int. J. Numer. Methods Eng. 37, 3211 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  78. Altermatt, P.P., Heiser, G., Green, M.A.: Prog. Photovolt. 4, 355 (1996)

    Article  Google Scholar 

  79. Wasserrab, T.: Z. Naturforsch. A 32, 746 (1977)

    Google Scholar 

  80. Sproul, A.B., Green, M.A.: In: Proceedings of the 21st IEEE Photovoltaic Specialists Conference, pp. 380–385. IEEE Press, New York (1990)

    Chapter  Google Scholar 

  81. Sproul, A.B., Green, M.A.: J. Appl. Phys. 70, 846 (1991)

    Article  Google Scholar 

  82. Misiakos, K., Tsamakis, D.: J. Appl. Phys. 74, 3293 (1993)

    Article  Google Scholar 

  83. Altermatt, P.P., Schenk, A., Geelhaar, F., Heiser, G.: J. Appl. Phys. 93, 1598 (2003)

    Article  Google Scholar 

  84. Schenk, A.: J. Appl. Phys. 84, 3684 (1998)

    Article  Google Scholar 

  85. del Alamo, J.A., Swanson, R.M.: Solid-State Electron. 30, 1127 (1987)

    Article  Google Scholar 

  86. Klaassen, D.B.M., Slotboom, J.W., de Graaff, H.C.: Solid-State Electron. 35, 125 (1992)

    Article  Google Scholar 

  87. Glunz, S.W., Dicker, J., Altermatt, P.P.: In: Proceedings of the 17th EU Photovoltaic Energy Conference, Munich, Germany, pp. 1391–1395. WIP/ETA, Munich/Florence (2001)

    Google Scholar 

  88. Green, M.A.: J. Appl. Phys. 67, 2944 (1990)

    Article  Google Scholar 

  89. Pässler, R.: Phys. Rev. B 66, 085201 (2002)

    Article  Google Scholar 

  90. Pässler, R.: Phys. Status Solidi B 216, 975 (1999)

    Article  Google Scholar 

  91. Pässler, R.: Phys. Status Solidi B 236, 710–728 (2003)

    Article  Google Scholar 

  92. Lundstrom, M.S., Schwartz, R.J., Gray, J.L.: Solid-State Electron. 24, 195 (1981)

    Article  Google Scholar 

  93. Kroemer, H.: RCA Rev. 28, 332 (1957)

    Google Scholar 

  94. Kane, D.E., Swanson, R.M.: In: Proceedings of the 18th IEEE Photovoltaic Specialists Conference, pp. 578–583. IEEE Press, New York (1985)

    Google Scholar 

  95. Sinton, R.A., Cuevas, A.: Appl. Phys. Lett. 69, 2510 (1996)

    Article  Google Scholar 

  96. Sinton, R., Cuevas, A., Stuckings, M.: In: Proceedings of the 25th IEEE Photovoltaic Specialists Conference, pp. 457–460. IEEE Press, New York (1996)

    Google Scholar 

  97. Kerr, M.J., Cuevas, A., Sinton, R.A.: J. Appl. Phys. 91, 399 (2002)

    Article  Google Scholar 

  98. Cuevas, A., Sinton, R.A.: Prog. Photovolt. 5, 79 (1997)

    Article  Google Scholar 

  99. Altermatt, P.P., Schumacher, J.O., Cuevas, A., Kerr, M.J., Glunz, S.W., King, R.R., Heiser, G., Schenk, A.: J. Appl. Phys. 92, 3187 (2002)

    Article  Google Scholar 

  100. Altermatt, P.P., Plagwitz, H., Bock, R., Schmidt, J., Brendel, R., Kerr, M.J., Cuevas, A.: In: Proceedings of the 21st European Photovoltaic Solar Energy Conference, pp. 647–650. WIP-Renewable Energies, Munich (2006)

    Google Scholar 

  101. Hoex, B., Schmidt, J., Bock, R., Altermatt, P.P., van de Sanden, M.C.M., Kessels, W.M.M.: Appl. Phys. Lett. 91, 112107 (2007)

    Article  Google Scholar 

  102. Blakemore, J.S.: Solid-State Electron. 25, 1067 (1982)

    Article  Google Scholar 

  103. Cohen, M.H., Chou, M.Y., Ecoonomou, E.N., Jahn, S., Soukoulis, C.M.: IBM J. Res. Dev. 32, 82 (1988)

    Article  Google Scholar 

  104. John, S., Chou, M.Y., Cohen, M.H., Soukoulis, C.M.: Phys. Rev. B 37, 6963 (1988)

    Article  Google Scholar 

  105. Serre, J., Ghazali, A.: Phys. Rev. B 28, 4704 (1983)

    Article  Google Scholar 

  106. Ghazali, A., Serre, J.: Solid-State Electron. 28, 145 (1985)

    Article  Google Scholar 

  107. Solmi, S., Parisini, A., Angelucci, R., Armigliato, A., Nobili, D., Moro, L.: Phys. Rev. B 53, 7836 (1996)

    Article  Google Scholar 

  108. Klaassen, D.B.M.: Solid-State Electron. 35, 953 (1992)

    Article  Google Scholar 

  109. Klaassen, D.B.M.: Solid-State Electron. 35, 961 (1992)

    Article  Google Scholar 

  110. Rougieux, F.E., Macdonald, D., Cuevas, A., Ruffell, S., Schmidt, J., Lim, B., Knights, A.P.: J. Appl. Phys. 108, 013706 (2010)

    Article  Google Scholar 

  111. Geilker, J., Kwapil, W., Reis, I., Rein, S.: In: Proceedings of the 25th European Photovoltaic Solar Energy Conference, pp. 1322–1327. WIP-Renewable Energies, Munich (2010)

    Google Scholar 

  112. Schindler, F., Geilker, J., Kwapil, W., Giesecke, J., Schubert, M., Warta, W.: In: Proceedings of the 25th European Photovoltaic Solar Energy Conference, pp. 2364–2368. WIP-Renewable Energies, Munich (2010)

    Google Scholar 

  113. Lim, B., Wolf, M., Schmidt, J.: Phys. Status Solidi C 8, 835 (2011)

    Article  Google Scholar 

  114. Kane, D.E., Swanson, R.M.: In: Proceedings of the 20th IEEE Photovoltaic Specialists Conference, pp. 512–517. IEEE Press, New York (1988)

    Google Scholar 

  115. Kane, D.E., Sinton, R.A., Gan, J.Y., Swanson, R.M.: In: Proceedings of the 21st IEEE Photovoltaic Specialists Conference, pp. 437–441. IEEE Press, New York (1990)

    Chapter  Google Scholar 

  116. Kane, D.E., Swanson, R.M.: J. Appl. Phys. 73, 1193 (1993)

    Article  Google Scholar 

  117. Green, M.A.: Silicon Solar Cells: Advanced Principles and Practice. Photovoltaics Special Research Centre, University of New South Wale, Sydney (1995). ISBN 0-7334-0994-6

    Google Scholar 

  118. Corkish, R., Chan, D.S.P., Green, M.A.: J. Appl. Phys. 79, 195 (1996)

    Article  Google Scholar 

  119. Karazhanov, S.Z.: J. Appl. Phys. 82, 5807 (1997)

    Article  Google Scholar 

  120. Karazhanov, S.Z.: Sol. Energy Mater. Sol. Cells 63, 149 (2000)

    Article  Google Scholar 

  121. Combescot, M.: Phys. Status Solidi B 86, 349 (1978)

    Article  Google Scholar 

  122. Geelhaar, F.: Coulomb Correlation Effects in Silicon Devices. Series in Microelectronics, vol. 147. Hartung-Gorre, Konstanz (2004)

    Google Scholar 

  123. Macdonald, D., Cuevas, A.: Phys. Rev. B 67, 075203 (2003)

    Article  Google Scholar 

  124. Shockley, W., Read, W.: Phys. Rev. 87, 835 (1952)

    Article  MATH  Google Scholar 

  125. Hall, R.: Phys. Rev. 87, 387 (1952)

    Article  Google Scholar 

  126. Sah, C.T., Shockley, W.: Phys. Rev. 109, 1103 (1958)

    Article  MathSciNet  Google Scholar 

  127. Willemen, J.A.: Ph.D. thesis, Technical University Delft, The Netherlands (1998)

  128. Queisser, H.J.: Solid-State Electron. 5, 1 (1962)

    Article  Google Scholar 

  129. Breitenstein, O., Langenkamp, M., Lang, O., Schirrmacher, A.: Sol. Energy Mater. Sol. Cells 65, 55 (2001)

    Article  Google Scholar 

  130. Kendall, D.: Presented at the Conference for Physics and Application of Lithium Diffused Silicon, NASA Space Flight Center, Goddard, FL (1969)

  131. Schmidt, J., Aberle, A.G.: J. Appl. Phys. 81, 6186 (1997)

    Article  Google Scholar 

  132. Altermatt, P.P., Schmidt, J., Heiser, G., Aberle, A.G.: J. Appl. Phys. 82, 4938 (1997)

    Article  Google Scholar 

  133. Brendel, R.: Appl. Phys. A 60, 523 (1995)

    Article  Google Scholar 

  134. Aberle, A.G., Schmidt, J., Brendel, R.: J. Appl. Phys. 79, 1491 (1996)

    Article  Google Scholar 

  135. Schmidt, J.: IEEE Trans. Electron Devices 46, 2018 (1999)

    Article  Google Scholar 

  136. Schuurmans, F.M., Schönecker, A., Burgers, A.R., Sinke, W.C.: Appl. Phys. Lett. 71, 1795 (1997)

    Article  Google Scholar 

  137. Robinson, S.J., Aberle, A.G., Green, M.A.: IEEE Trans. Electron Devices 41, 1556 (1994)

    Article  Google Scholar 

  138. Schmidt, J., Cuevas, A., Rein, S., Glunz, S.W.: Prog. Photovolt. 9, 249 (2001)

    Article  Google Scholar 

  139. Schmidt, J., Cuevas, A.: J. Appl. Phys. 86, 3175 (1999)

    Article  Google Scholar 

  140. Rein, S., Glunz, S.W.: Appl. Phys. Lett. 82, 1054 (2003)

    Article  Google Scholar 

  141. Bothe, K., Sinton, R., Schmidt, J.: Prog. Photovolt. 13, 287 (2005)

    Article  Google Scholar 

  142. Fischer, H., Pschunder, W.: In: Proceedings of the 10th IEEE Photovoltaic Specialists Conference, pp. 404–411. IEEE Press, New York (1973)

    Google Scholar 

  143. Schmidt, J.: Appl. Phys. Lett. 82, 2178 (2003)

    Article  Google Scholar 

  144. Schmidt, J., Thiemann, N., Bock, R., Brendel, R.: J. Appl. Phys. 106, 093707 (2009)

    Article  Google Scholar 

  145. Bock, R., Altermatt, P.P., Schmidt, J., Brendel, R.: Semicond. Sci. Technol. 25, 105007 (2010)

    Article  Google Scholar 

  146. Rüdiger, M., Rauer, M., Schmiga, C., Hermle, M.: Effect of incomplete ionization for the description of highly aluminum-doped silicon (to be published)

  147. Steingrube, S., Steingrube, D.S., Brendel, R., Altermatt, P.P.: Phys. Status Solidi C 7, 276 (2010)

    Article  Google Scholar 

  148. Rein, S., Rehrl, T., Warta, W., Glunz, S.W.: J. Appl. Phys. 91, 2059 (2002)

    Article  Google Scholar 

  149. McIntosh, K.R., Paudyal, B.B., Macdonald, D.H.: J. Appl. Phys. 104, 084503 (2008)

    Article  Google Scholar 

  150. Steingrube, S., Altermatt, P.P., Steingrube, D.S., Schmidt, J., Brendel, R.: J. Appl. Phys. 108, 014506 (2010)

    Article  Google Scholar 

  151. Steingrube, S., Altermatt, P., Zielke, D., Werner, F., Schmidt, J., Brendel, R.: In: Proceedings of the 25th European Photovoltaic Solar Energy Conference, pp. 1748–1754. WIP-Renewable Energies, Munich (2010)

    Google Scholar 

  152. Cuevas, A., Macdonald, D.: Sol. Energy 76, 255 (2004)

    Article  Google Scholar 

  153. Dziewior, J., Schmid, W.: Appl. Phys. Lett. 31, 346 (1977)

    Article  Google Scholar 

  154. Hangleiter, A., Häcker, R.: Phys. Rev. Lett. 65, 215 (1990)

    Article  Google Scholar 

  155. Häcker, R., Hangleiter, A.: J. Appl. Phys. 75, 7570 (1994)

    Article  Google Scholar 

  156. Sinton, R., Swanson, R.: IEEE Trans. Electron Devices 34, 1380 (1987)

    Article  Google Scholar 

  157. Glunz, S.W., Biro, D., Rein, S., Warta, W.: J. Appl. Phys. 86, 683 (1999)

    Article  Google Scholar 

  158. Schmidt, J., Kerr, M., Altermatt, P.P.: J. Appl. Phys. 88, 1494 (2000)

    Article  Google Scholar 

  159. Kerr, M.J., Cuevas, A.: J. Appl. Phys. 91, 2473 (2002)

    Article  Google Scholar 

  160. Reichel, C., Granek, F., Benik, J., Schultz-Wittmann, O., Glunz, S.W.: In: Proceedings of the 23rd European Photovoltaic Solar Energy Conference, pp. 1664–1669. WIP-Renewable Energies, Munich (2008)

    Google Scholar 

  161. Yablonovitch, E., Gmitter, T.: Solid-State Electron. 35, 261 (1992)

    Article  Google Scholar 

  162. Altermatt, P.P., Geelhaar, F., Trupke, T., Dai, X., Neisser, A., Daub, E.: Appl. Phys. Lett. 88, 261901 (2006)

    Article  Google Scholar 

  163. Altermatt, P.P., Geelhaar, F., Trupke, T., Day, X., Neisser, A., Daub, E.: In: Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD05), pp. 47–48. IEEE Press, New York (2005)

    Chapter  Google Scholar 

  164. Trupke, T., Green, M.A., Würfel, P., Altermatt, P.P., Wang, A., Zhao, J., Corkish, R.: J. Appl. Phys. 94, 4930 (2003)

    Article  Google Scholar 

  165. Trupke, T., Daub, E., Würfel, P.: Sol. Energy Mater. Sol. Cells 53, 103 (1998)

    Article  Google Scholar 

  166. Daub, E., Würfel, P.: Phys. Rev. Lett. 74, 1020 (1995)

    Article  Google Scholar 

  167. Daub, E., Würfel, P.: J. Appl. Phys. 80, 5325 (1996)

    Article  Google Scholar 

  168. Smith, A.W., Rohatgi, A., Neel, S.C.: In: Proceedings of the 21st IEEE Photovoltaic Specialists Conference, pp. 426–431. IEEE Press, New York (1990)

    Chapter  Google Scholar 

  169. Brendel, R.: In: Proceedings of the 12th European Photovoltaic Solar Energy Conference, pp. 1339–1342. H.S. Stephens and Associates, Bedford (1994)

    Google Scholar 

  170. Schumacher, J., Sterk, S., Wagner, B., Warta, W.: In: Proceedings of the 13th European Photovoltaic Solar Energy Conference, pp. 96–99. H.S. Stephens and Associates, Bedford (1995)

    Google Scholar 

  171. Zechner, C., Fath, P., Willeke, G., Bucher, E.: Sol. Energy Mater. Sol. Cells 51, 255 (1998)

    Article  Google Scholar 

  172. Cotter, J.E.: In: Proceedings of the 31st IEEE Photovoltaic Specialists Conference, pp. 1165–1168. IEEE Press, New York (2005)

    Google Scholar 

  173. Holst, H., Altermatt, P.P., Brendel, R.: In: Proceedings of the 25th European Photovoltaic Solar Energy Conference, pp. 2150–2153. WIP-Renewable Energies, Munich (2010)

    Google Scholar 

  174. Blakers, A.W.: J. Appl. Phys. 71, 5237 (1992)

    Article  Google Scholar 

  175. Stuckings, M., Blakers, A.: Sol. Energy Mater. Sol. Cells 59, 233 (1999)

    Article  Google Scholar 

  176. Woehl, R., Hörteis, M., Glunz, S.W.: In: Proceedings of the 23rd European Photovoltaic Solar Energy Conference, pp. 1377–1382. WIP-Renewable Energies, Munich (2008)

    Google Scholar 

  177. Yang, Y., Altermatt, P.P.: In: Proceedings of the European COMSOL Conference, p. 5259. COMSOL, Hannover (2008)

    Google Scholar 

  178. Clugston, D.A., Basore, P.A.: Prog. Photovolt. 5, 229 (1997)

    Article  Google Scholar 

  179. Isenberg, J., Warta, W.: J. Appl. Phys. 84, 2265 (2004)

    Google Scholar 

  180. Macleod, H.A.: Thin-Film Optical Filters, 3rd edn. Institute of Physics Publishing, Philadelphia (2001)

    Book  Google Scholar 

  181. Gueymard, C.A., Myers, D., Emery, K.: Sol. Energy 73, 443 (2002)

    Article  Google Scholar 

  182. Gueymard, C.: Sol. Energy 71, 325 (2001)

    Article  Google Scholar 

  183. Green, M.A.: Sol. Energy Mater. Sol. Cells 92, 1305 (2008)

    Article  Google Scholar 

  184. Shiles, E., Sasaki, T., Inokuti, M., Smith, D.Y.: Phys. Rev. B 22, 1612 (1980)

    Article  Google Scholar 

  185. Palik, E.D.: Handbook of Optical Constants of Solids. Academic Press, San Diego (1985)

    Google Scholar 

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  1. Department of Solar Energy, Institute for Solid-State Physics, Leibniz University of Hannover, 30167, Hannover, Germany

    Pietro P. Altermatt

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Altermatt, P.P. Models for numerical device simulations of crystalline silicon solar cells—a review. J Comput Electron 10, 314–330 (2011). https://doi.org/10.1007/s10825-011-0367-6

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