Abstract
The instability of an infinite thin electron beam propagating in vacuum over the surface of an isotropic nongyrotropic crystal is investigated. The possibilities of exciting additional longitudinal waves and polarization waves are analyzed. The dispersion laws of exciton-beam coupled waves are obtained. It is demonstrated that the interaction of the beam with the additional bulk longitudinal wave and the surface polarization wave leads to the appearance of the absolute instability.
Similar content being viewed by others
References
J. Frenkel, Phys. Rev. 37, 17 (1931).
S. I. Pekar, Zh. Éksp. Teor. Fiz. 33, 1022 (1957) [Sov. Phys. JETP 6, 785 (1957)].
V. L. Ginzburg, Zh. Éksp. Teor. Fiz. 34, 1593 (1958) [Sov. Phys. JETP 7, 1036 (1958)].
V. M. Agranovich and A. A. Rukhadze, Zh. Éksp. Teor. Fiz. 35, 982 (1958) [Sov. Phys. JETP 8, 685 (1958)].
V. M. Agranovich and V. L. Ginzburg, Spatial Dispersion in Crystal Optics and the Theory of Excitons (Nauka, Moscow, 1979; Berlin, Springer, 1984).
V. V. Bryksin, D. N. Mirlin, and Yu. A. Firsov, Usp. Fiz. Nauk 113, 29 (1974) [Sov. Phys.-Usp. 17, 305 (1974)].
C. J. Powell, Phys. Rev. 175, 972 (1968).
R. B. Pettit, J. Silcox, and R. Vincent, Phys. Rev. B: Solid State 11, 3116 (1975).
M. Šunjic and A. A. Lucas, Phys. Rev. B: Solid State 3, 719 (1971).
R. Matz and H. Luth, Phys. Rev. Lett. 46, 500 (1981).
F. Yubero and S. Tougaard, Phys. Rev. B: Condens. Matter 46, 2486 (1992).
F. Yubero, D. Fujita, B. Ramskov, and S. Tougaard, Phys. Rev. B: Condens. Matter 53, 9728 (1996).
M. A. Vasylyev, V. A. Tinkov, and B. E. Nieuwenhuys, J. Electron Spectrosc. Relat. Phenom. 159, 53 (2007).
J. B. Pendry and L. Martin-Moreno, Phys. Rev. B: Condens. Matter 50, 5062 (1994).
G. F. Bertsch, H. Esbensen, and B. W. Reed, Phys. Rev. B: Condens. Matter 58, 14031 (1998).
T. Nagao, S. Yaginuma, T. Inaoka, and T. Sakurai, Phys. Rev. Lett. 97, 116802 (2006).
H. Ibach, Phys. Rev. Lett. 24, 1416 (1970).
A. A. Lucas, E. Kartheuser, and R. G. Badro, Phys. Rev. B: Solid State 2, 4990 (1970).
S. Lehwald, M. Rocca, H. Ibach, and T. S. Rahman, Phys. Rev. B: Condens. Matter 31, 3477 (1985).
H. Nienhaus, Phys. Rev. B: Condens. Matter 56, 13194 (1997).
V. M. Agranovich, The Theory of Excitons (Nauka, Moscow, 1968) [in Russian].
Excitons, Ed. by E. I. Rashba and M. D. Sturge (North-Holland, Amsterdam, 1982; Nauka, Moscow, 1985).
V. A. Kosobukin and M. M. Moiseeva, Fiz. Tverd. Tela (St. Petersburg) 37(12), 3694 (1995) [Phys. Solid State 37 (12), 2036 (1995)].
V. A. Kosobukin, Fiz. Tverd. Tela (St. Petersburg) 40(5), 824 (1998) [Phys. Solid State 40 (5), 758 (1998)].
V. A. Kosobukin and A. N. Poddubnyoe, Fiz. Tverd. Tela (St. Petersburg) 49(10), 1883 (2007) [Phys. Solid State 49 (10), 1977 (2007)].
V. S. Dneprovskii, E. A. Zhukov, E. A. Muljarov, and S. G. Tikhodeev, Zh. Éksp. Teor. Fiz. 114(2), 700 (1998) [JETP 87 (2), 382 (1998)].
A. S. Brichkin, A. V. Chernenko, E. A. Chekhovich, P. S. Dorozhkin, V. D. Kulakovskii, S. V. Ivanov, and A. A. Toropov, Zh. Éksp. Teor. Fiz. 132(2), 426 (2007) [JETP 105 (2), 379 (2007)].
R. Heitz, H. Born, F. Guffarth, O. Stier, A. Schliwa, A. Hoffmann, and D. Bimberg, Phys. Rev. B: Condens. Matter 64, 241305 (2001).
B. Patton, W. Langbein, and U. Woggon, Phys. Rev. B: Condens. Matter 68, 125316 (2003).
J. Maultzsch, R. Pomraenke, S. Reich, E. Chang, D. Prezzi, A. Ruini, E. Molinari, M. S. Strano, C. Thomsen, and C. Lienau, Phys. Rev. B: Condens. Matter 72, 241402 (2005).
Le Si Dang, D. Heger, R. Andre, F. Boeuf, and R. Romestain, Phys. Rev. Lett. 81, 3920 (1998).
H. Deng, G. Weihs, Ch. Santori, J. Bloch, and Y. Yamamoto, Science (Washington) 298, 199 (2002).
J. Kasprzak, M. Ruchard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymaska, R. Andre, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and Le Si Dang, Nature (London) 443, 409 (2006).
L. V. Butov, Nature (London) 447, 540 (2007).
V. M. Yakovenko, Ukr. Fiz. Zh. 1, 226 (1965).
P. A. Strurrock, Phys. Rev. 112, 1488 (1958).
A. I. Akhiezer, I. A. Akhiezer, R. V. Polovin, A. G. Sitenko, and K. N. Stepanov, Plasma Electrodynamics (Nauka, Moscow, 1974; Pergamon, Oxford, 1975).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Yu.O. Averkov, F.G. Bass, V.M. Yakovenko, 2009, published in Fizika Tverdogo Tela, 2009, Vol. 51, No. 1, pp. 57–64.
Rights and permissions
About this article
Cite this article
Averkov, Y.O., Bass, F.G. & Yakovenko, V.M. Excitation of excitons in semi-infinite solids with a nonrelativistic electron beam. Phys. Solid State 51, 61–68 (2009). https://doi.org/10.1134/S1063783409010077
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063783409010077