Abstract
For carrier-carrier scattering the relaxation kinetics of a quasi-twodimensional degenerate electron gas is studied in the framework of the Boltzmann equation using a static RPA screening. The time development of an initial nonequilibrium distribution is calculated both by ensemble Monte Carlo simulations and by expansions in terms of eigenfunctions of the linearized collision operator. A systematic comparison of the results of both methods yields a rather detailed understanding of the Coulomb relaxation kinetics and of the strengths and limitations of both methods. The dependence of the relaxation rate on the position and width of the initial population deviation is investigated and conditions for nonexponential decay are given.
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Oudar, J.L., Hulin, D., Migus, A., Antonetti, A., Alexandre, F.: Phys. Rev. Lett.55, 2074 (1985)
Knox, W.H., Hirlimann, C., Miller, D.A.B., Shah, J., Chemla, D.S., Shank, C.V.: Phys. Rev. Lett.56, 1191 (1986)
Becker, P.C., Fragnito, H., Brito-Cruz, C., Shaw, J., Fork, R.L., Cunningham, J.E., Henry, J.E., Shank, C.V.: Phys. Rev. Lett.61, 1647 (1988)
Lipavsky, P., Spicka, V., Velicky, B.: Phys. Rev. B34, 6933 (1986); Lipavsky, P., Kahn, E.S., Kalvova, A., Wilkins, J.W.: Phys. Rev. B43, 6650 (1991)
Barker, J.R., Ferry, D.K.: Phys. Rev. Lett.42, 1779 (1979);
Ferry, D.K.: Semiconductors. New York: Macmillan 1991
Reggiani, L., Lugli, P., Jauho, A.P.: Appl. Phys.64, 3072 (1988)
Jacobini, C., Reggiani, L.: Rev. Mod. Phys.55, 645 (1983)
Stanton, C.J., Bailey, D.W., Hess, K.: IEEE-QE 24, 1614 (1988)
Goodnick, S.M., Lugli, P.: Phys. Rev. B38, 10135 (1988)
See e.g. Schäfer, W.: Festkörperprobleme. In: Advances in Solid State Physics. Vol. 28, p. 63. Braunschweig: Vieweg 1988
Kadanoff, L.P., Baym, G.: Quantum statistical mechanics. New York: W.A. Benjamin 1962
Lugli, P.: Talk at the 1991 Spring Meeting of the Deutsche Physikalische Gesellschaft
See e.g. Haug, H., Koch, S.W.: Quantum theory of the optical and electronic properties of semiconductors. Singapore: World Scientific 1990
Haug, H., Henneberger, K.: Z. Phys. B — Condensed Matter83, 447 (1991)
Cercignani, C.: The Boltzmann equation and its application. In: Applied Mathematical Sciences. Vol. 67. Berlin, Heidelberg, New York: Springer 1988
Lyo, S.K.: Phys. Rev. B43, 7091 (1991)
Binder, K., Kalos, M.H.: In: Monte Carlo methods in statistical physics. Binder, K. (ed.). Berlin, Heidelberg. New York: Springer 1988
Rees, H.D.: J. Phys. Chem. Solids30, 643 (1969)
Bailey, D.W., Artaki, M.A., Stanton, C.J., Hess, K.: J. Appl.62, 4638 (1987)
Osman, M.A., Ferry, D.K.: Phys. Rev. B36, 6018 (1987)
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Sayed, K.E., Wicht, T., Haug, H. et al. Study of the Coulomb Boltzmann kinetics in a quasi-twodimensional electron gas by eigenfunction expansions and Monte Carlo simulations. Z. Physik B - Condensed Matter 86, 345–357 (1992). https://doi.org/10.1007/BF01323727
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DOI: https://doi.org/10.1007/BF01323727