Abstract
Monte Carlo simulation has been shown to be an effective approach to the study of ultrafast carrier relaxation and interaction in semiconductor bulk materials and in microstructures. In this chapter we will review the use of this methodology to study electron-electron, electron-hole, nonequilibrium and confined phonons, in-tersubband relaxation in quantum wells, and carrier collision effects on the short time scale in connection with ultrafast optical experiments. Also, we consider the use of Monte Carlo simulation in modeling optoelectronic devices such as lasers and electroluminescent devices. Finally, we will discuss some of the limitations of the Monte Carlo technique, such as the treatment of coherent effects.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C. Jacoboni and L. Reggiani, Rev. Mod. Phys. 65, 645 (1983).
C. Jacoboni and P. Lugli, The Monte Carlo Method for Semiconductor Device Simulation, (Springer-Verlag, Vienna, 1989).
Monte Carlo Device Simulation: Full Band and Beyond, Ed. by K. Hess (Kluwer Academic Publ., Boston, 1991).
M.H. Kalos and P.A. Whitlock, Monte Carlo Methods, (Wiley, New York, 1986).
D.K. Ferry, Semiconductors (Macmillan, New York, 1991) 456.
H.D. Rees, J. Phys. Chem. Sol. 30, 643 (1969).
R.M. Yorston, J. Comp. Phys. 64, 177 (1986).
C.J.D. Stanton, D.W. Bailey, K. Hess, and Y.C. Chang, Phys. Rev. B 37, 6575 (1987).
See, e.g., L. I. Schiff, Quantum Mechanics (McGraw-Hill Inc., New York), 1955.
Y. Chang, D.Z. Ting, J.Y. Tang, and K. Hess, Appl. Phys. Lett. 42, 76 (1983).
L. Reggiani, P. Lugli, and A.P. Jauho, Phys. Rev. B 76 (1987).
D.K. Ferry, A.M. Kriman; H. Hida, and S. Yamaguchi, Phys. Rev. Lett. 67, 633 (1991).
P. Bordone, D. Vasileska, and D.K. Ferry, Phys. Rev. B 53, 3846 (1996).
H. Fröhlich, Proc. Roy. Soc. A160, 230 (1937).
C. Weisbuch and B. Vinter, Quantum Semiconductor Structures (Academic Press Inc., Boston, 1991)
D.K. Ferry and S.M. Goodnick, Transport in Nanostructures (Cambridge University Press, Cambridge UK, 1997).
See, e.g., J. Menéndez, J Lumin. 44, 285 (1989), and references therein.
K.W. Kim and M.A. Stroscio, J. Appl. Phys. 68, 6289 (1990), and references therein.
H. Rücker, E. Molinari, and P. Lugli, Phys. Rev. B 45, 6746 (1992).
M. Born and K. Huang, Dynamical Thoery of Crystal Lattices (Oxford University Press, Oxford, 1954).
S. Bosi and C. Jacoboni, J Phys. C 9, 315 (1976).
P. Lugli and D.K. Ferry, IEEE Trans. Elec. Dev. 32, 2431 (1985).
P. Tadyszak, F. Danneville, A. Cappy, L. Reggiani, L. Varani, and L. Rota, Appl. Phys. Lett. 69, 1450 (1996).
P. Borowik and J.-L. Thobel, J. Appl. Phys. 84, 3706 (1998).
N. Takenaka, M. Inoue, and Y. Inuishi, J Phys. Soc. Jap. 47, 861 (1979).
S.M. Goodnick and P. Lugli, Phys. Rev. B 37, 2578 (1988); 52, 5445 (1995)
M. Moško, A. Mošková, and V. Cambel, Phys. Rev. B 51, 16860 (1995).
L. Rota, F. Rossi, S.M. Goodnick, P. Lugli, E. Molinari, and W. Porod, Phys. Rev. B 47, 1623 (1993).
R. Brunetti, C. Jacoboni, A. Matulionis, and V. Dienys, Physica 134B, 369 (1985).
P. Lugli and D.K. Ferry, Physica 129B, 532 (1985).
P. Lugli and D.K. Ferry, IEEE Elec. Dev. Lett. 6, 25 (1985).
P. Lugli and D.K. Ferry, Appl. Phys. Lett. 46, 594 (1985).
P. Lugli and D.K. Ferry, Phys. Rev. Lett. 56, 1295 (1986).
M.E. Kim, A. Das, S.D. Senturia, Phys. Rev. B 18, 6890 (1978).
J. F. Young and P.J. Kelly, Phys. Rev. B 47, 6316 (1993).
P. Sotirelis, P. von Allmen, and K. Hess, Phys. Rev. B 47, 12744 (1993)
See, e.g., R.W. Hockney and J.W. Eastwood, Computer Simulation Using Particles (Institute of Physics Publishing, London, 1988).
D.J. Adams and G.S. Dubey, J Comp. Phys. 11, 156 (1987).
D. von der Linde, J. Kuhl, and H. Klingenberg, Phys. Rev. Lett. 44, 1505 (1980).
J.A. Kash, J.C. Tsang, and J.M. Hvam, Phys. Rev. Lett. 54, 2151 (1985).
W. Pötz and P. Kocevar, Phys. Rev. B 28, 7040 (1980).
J. Shah, A. Pinczuk, A.C. Gossard, and W. Wiegmann, Phys. Rev. Lett. 54, 2045 (1985).
P. Lugli and S.M. Goodnick, Phys. Rev. Lett. 59, 716 (1987).
S. das Sarma, J.K. Jain, and R. Jalabert, Phys. Rev. B 37, 1228 (1988).
K.T. Tsen, R.P. Joshi, and D.K. Ferry, Phys. Rev. B 39, 1446 (1989).
R.P. Joshi and D.K. Ferry, Phys. Rev. B 39, 1180 (1989).
R.P. Joshi, K.T. Tsen, and D.K. Ferry, Phys. Rev. B 41, 9899 (1990).
P. Lugli, C. Jacoboni, L. Reggiani, and P. Kocevar, Appl. Phys. Lett. 50, 1251 (1987).
M. Rieger, P. Kocevar, P. Lugli, P. Bordone, L. Reggiani, and S.M. Goodnick, Phys. Rev. B 39, 7866 (1989).
J.F. Ryan, R.A. Taylor, A.J. Turberfield, and J.M. Worlock, Surf. Sci. 170, 511 (1986).
D.K. Ferry, E.D. Grann, and K.T. Tsen, in Hot Carriers in Semiconductors, Ed. by K. Hess, J.-P. Leburton, and U. Ravaioli (Plenum, New York, 1996) 81.
G. Weinreich, Solids: Elementary Theory for Advanced Students (Wiley, New York, 1965).
W. A. Harrison, Electronic Structure and the Properties of Solids (Freeman, San Francisco, 1980).
See, e.g., J. Shah, Sol.-State Electron. 32, 1051 (1989), and references therein.
T. Kuhn and F. Rossi, Phys. Rev. Lett. 69, 977 (1992); Phys. Rev. B 46, 7496 (1992).
H. Haug, Phys. Stat. Sol. (b) 173, 139 (1992).
See e.g., L.P. Kadanoff and G. Baym, Quantum Statistical Mechanics, Green’s Function Method in Equilibrium and Nonequilibrium Problems, (Addison-Wesley Publishing, Massachusetts, 1962).
P. Bordone, D. Vasileska, and D.K. Ferry, in Hot Carriers in Semiconductors, Ed. by K. Hess, J.-P. Leburton, and U. Ravaioli (Plenum, New York, 1996) 433.
A.M. Kliman, M.J. Kann, D.K. Ferry, and R. Joshi, Phys. Rev. Lett. 65, 1619 (1990).
P.C. Becker, H. Fargnito, C. Brito-Cruz, J. Shah, R.L. Fork, J.E. Cunningham, J.E. Henry, and C.V. Shank, Phys. Rev. Lett. 61, 1647 (1988).
R.P. Joshi and D.K. Ferry, Phys. Rev. B 43, 9734 (1991).
R.P. Joshi, A.M. Kliman, M.J. Kann, and D.K. Ferry, Appl. Phys. Lett. 58, 2369 (1991).
D.K. Ferry, A.M. Kriman, M.J. Kann, and R.P. Joshi, Comp. Phys. Commun. 67, 119 (1991).
D.K. Ferry, A.M. Kriman, M.J. Kann, and R.P. Joshi, in Monte Carlo Device Simulation: Full Band and Beyond, Ed. by K. Hess (Kluwer Academic Publ., Boston, 1991) 99.
A. Seilmeier, H.-J. Hubner, G. Abstreiter, G. Weimann, and W. Schlapp, Phys. Rev. Lett. 59, 1345 (1987).
M. Tatham, J.F. Ryan, and C.T. Foxon, Phys. Rev. Lett. 63, 1637 (1989).
F.H. Julien, J.-M. Lourtioz, N. Herschkom, D. Delacourt, J.P Pocholle, M. Papuchon, R. Planel, and G. Le Roux, Appl. Phys. Lett. 53, 116 (1988); 62, 2289 (1993).
D. Cui, Z. Chen, S. Pan, H. Lu, and G. Yang, Phys. Rev. B 47, 6755 (1993).
J. Faist, F. Capasso, C. Sirtori, D.L. Sivco, A.L. Hutchinson, S.N.G. Chu, and A.Y. Cho, Appl. Phys. Lett. 63, 1354 (1993).
S. Lutgen, R.A. Kaindl, M. Woemer, T. Elsaesser, M. Gulia, D. Meglio, P. Lugli, A. Hase, and H. Kunzel, Phys. Rev. Lett. 77, 3657 (1996).
D.Y. Oberli, D.R. Wake, M.V. Klein, J. Klem, T. Henderson, and H. Morkoc, Phys. Rev. Lett. 59, 696 (1987).
J. Faist, C. Sirtori, F. Capasso, L. Pfeiffer, and K.W. West, Appl. Phys. Lett. 64, 872 (1994).
K. Craig, C.L. Felix, J.N. Heyman, A.G. Markelz, M.S. Sherwin, K. L. Campman, P.F. Hopkins, and A.C. Gossard, Semicond. Sci. Technol. 9, 627 (1994).
J.N. Heyman, K. Unterrainer, K. Craig, B. Galdrikian, M.S. Sherwin, K. Campman, P.F. Hopkins, and A.C. Gossard, Phys. Rev. Lett. 74, 2682 (1995).
J.A. Levenson, G. Dolique, J.L. Oudar, and I. Abram, Phys. Rev. B 41, 3688 (1990).
B.N. Murdin, G.M. Knippels, A.F. van der Meer, C.R. Pidgeon, C.J.G.M. Langerak, M. Helm, W. Heiss, K. Unterrainer, E. Gornik, K.K. Geerinck, N.J. Hovenier, and W. Th. Wenckeback, Semicond. Sci. Technol. 9, 1554 (1994).
B.N. Murdin, C.J.G.M. Langerak, M. Helm, P. Kruck, W. Heiss, V. Rosskopf, G. Strasser, E. Gornik, M. Dür, S. M. Goodnick, S.-C. Lee, I. Galbraith, and C.R. Pidgeon, Superlatt. Microstruct. 19, 17 (1996).
B.N. Murdin, W. Heiss, C.J.G.M. Langerak, S.-C. Lee, I. Galbraith, G. Strasser, E. Gornik, M. Helm, and C.R. Pidgeon, Phys. Rev. B 55, 5171 (1997).
S.M. Goodnick and J.E. Lary, Semicond. Sci. Technol. 7, B109 (1992).
S.M. Goodnick and P. Lugli, in Hot Carriers in Semiconductor Nanostructures, Ed. by J. Shah (Academic, New York, 1992) 191.
B.K. Ridley, Phys. Rev. B. 39, 5282 (1987).
E. Molinari, P. Lugli and H. Rücker, Phys. Rev. B 44, 3463 (1991).
J.L. Educato, J.P. Leburton, J. Wang, and D.W. Bailey, Phys. Rev. B 44, 8365 (1991).
M. Dür, S.M. Goodnick, and P. Lugli, Phys. Rev. B 54, 17794 (1996).
M. Dür and S.M. Goodnick, Semicond. Sci. Technol 13, A143 (1998).
E.D. Grann, S.J. Sheih, C. Chia, K.T. Tsen, O.F. Sankey, S.E. Güncer, D.K. Ferry, G. Maracas, R. Droopad, A. Salvador, A. Botcharev, and H. Morkoç, Appl. Phys. Lett. 64, 1230 (1994).
D.S. Kim and P.Y. Yu, Phys. Rev. B 43, 4158 (1991).
M.A. Osman and D.K. Ferry, Phys. Rev. B 36, 6018 (1987).
C. Chia, O.F. Sankey, and K.T. Tsen, Mod. Phys. Lett. B 7, 331 (1993).
D.C. Hamilton and A.L. McWhorter, in Light Scattering Spectra of Solids, Ed. by G.B. Wright (Springer, New York, 1969) 309.
E.D. Grann, K.T. Tsen, O.F. Sankey, D.K. Ferry, A. Salvador, A. Botcharev, and H. Morkoç, Appl. Phys. Lett. 67, 1760 (1995).
E.O. Kane, J. Phys. Chem. Sol. 1, 249 (1957).
K.E. Meyer, M. Pessot, G. Mourou, R.O. Grondin, and S.N. Chamoun, Appl. Phys. Lett. 53, 2254 (1988).
W.H. Knox, J.E. Henry, K.W. Goossen, K.D. Li, B. Tell, D.A.B. Miller, D.S. Chemla, A.C. Gossard, J. English, and S. Schmitt-Rink, IEEE J. Quantum Elec. 25, 2586 (1989).
S.M. El-Ghazaly, R.P. Joshi, and R.O. Grondin, IEEE Trans. Microwave Theory Tech. 38, 629 (1990).
S.M. Goodnick, S. Pennathur, U. Ranawake, P. Lenders, and V. Tripathi, Intl. J of Num. Modeling 8, 205 (1995).
P.R. Smith, D.H. Auston, and M. Nuss, IEEE J Quantum Electron. 24, 255 (1988).
J. Son, W. Sha, T. Norris, J. Whitaker, and G. Mourou, Appl. Phys. Lett. 63, 923 (1993).
J.P. Berenger, J. Computational Physics 114, 185 (1994).
K.A. Remley, A. Weisshaar, V.K. Tripathi, and S.A Goodnick, VLSI Design 8, 407 (1998).
M. Grupen, K. Hess, and L. Rota, in Physics and Simulation of Optoelectronic Devices III, Ed. by W.W. Chow and M.A. Osinski, SPIE vol. 2399, 292 (1995).
M. Grupen, and K. Hess, Appl. Phys. Lett. 65, 2454 (1994).
L. Rota, A Grupen, and K. Hess, in Hot Carriers in Semiconductors, Ed. by K. Hess, J.P. Leburton, and U. Ravaioli, (Plenum Press, New York, 1996) 563.
Y.A. Ono, Electroluminescent Displays, (World Scientific, Singapore, 1995).
M. Reigrotzki, R. Redmer, I. Lee, S.S. Pennathur, M. Dür, J.F. Wager, S.M. Goodnick, P. Vogl, H. Eckstein, and W. Schattke, J Appl. Phys. 80, 5054 (1996).
M. Dür, S.A Goodnick, S.S. Pennathur, J.F. Wager, M. Reigrotzki, and R. Redmer, J Appl. Phys. 80,3176–3185, 1998.
B.A. Cleary, P.D. Keir, J.C. Hitt, T.K. Plant, J.F. Wager, and S.S. Sun, in the Proceedings of the Third International Conference on the Science and Technology of Display Phophors, Huntington Beach, November, 1997; to be published.
S.E. Günçer and D.K. Ferry, Phys. Rev. B 46, 15309 (1992).
J.A. Kash, S.S. Jha, and J.C. Tsang, Phys. Rev. Lett. 58, 1869 (1987); 60, 864 (1988).
K.T. Tsen and D.K. Ferry, A. Salvador, and H. Morkoç, Phys. Rev. Lett. 80, 4807 (1998).
M. Städele, J.A. Majewski, P. Vogl, and A. Görling, Phys. Rev. Lett. 79, 2089 (1997).
F. Rossi, S. Haas, and T. Kuhn, Phys. Rev. Lett. 72, 152 (1994).
F. Rossi, T. Meier, P. Thomas, S.W. Koch, P.E. Selbmann, and E. Molinari, Phys. Rev. B 51, 16943 (1995).
H. Haug and S.W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors (World Scientific, Singapore, 1994).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ferry, D.K., Goodnick, S.M. (2001). Ensemble Monte Carlo Simulations of Ultrafast Phenomena in Semiconductors. In: Tsen, KT. (eds) Ultrafast Phenomena in Semiconductors. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0203-2_6
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0203-2_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6562-7
Online ISBN: 978-1-4613-0203-2
eBook Packages: Springer Book Archive