Abstract
Optical properties of semiconductor crystals in the presence of a high magnetic field have been considered. The field turn-on gives rise to oscillations of the optical-absorption edge or, more specifically, the formation of a complex absorption spectrum with a periodic structure, referred to as the spectrum of “diamagnetic excitons.” Such spectra appear a source of the most accurate knowledge about the band structure of semiconductors. Moreover, these spectra can be used for simulating the low-dimensional state in semiconductors and possible interpretation of the emission spectra of neutron stars. The proposed analytical review is based on extensive experimental and theoretical data contained mostly in cited original works of the author with colleagues.
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References
E. F. Gross and N. A. Karryev, Dokl. Akad. Nauk SSSR 84, 471 (1952).
E. F. Gross, B. P. Zakharchenya, and N. M. Reinov, Dokl. Akad. Nauk SSSR 97, 57 (1954).
E. F. Gross, B. P. Zakharchenya, and N. M. Reinov, Dokl. Akad. Nauk SSSR 99, 527 (1954).
E. F. Gross and B. P. Zakharchenya, Dokl. Akad. Nauk SSSR 111, 564 (1956).
E. F. Gross, B. P. Zakharchenya, and P. P. Pavinskii, Sov. Phys. Tech. Phys. 2, 2018 (1957).
E. Burstein and G. S. Picus, Phys. Rev. 105, 1123 (1957).
S. Zwerdling and B. Lax, Phys. Rev. 106, 51 (1957).
L. M. Roth, B. Lax, and S. Zwerdling, Phys. Rev. 114, 90 (1959).
G. G. Macfarlane, T. P. McLean, J. E. Quarrington, and V. Roberts, J. Phys. Chem. Solids 8, 388 (1959).
L. M. Kanskaya, S. I. Kokhanovskii, and R. P. Seisyan, Sov. Phys. Semicond. 13 (12), 1420 (1979).
A. V. Varfolomeev, B. P. Zakharchenya, and R. P. Seisyan, JETP Lett. 8 (3), 74 (1968).
R. P. Seisyan, A. V. Varfolomeev, and B. P. Zakharchenya, Sov. Phys. Semicond. 2 (9), 1062 (1968).
R. P. Seisyan, A. V. Varfolomeev, and B. P. Zakharchenya, Sov. Phys. Semicond. 2 (9), 1069 (1968).
V. M. Asnin, G. L. Eristavi, and A. A. Rogachev, Phys. Status Solidi 29, 443 (1968).
M. I. D’yakonov, D. L. Mitchell, and A. L. Efros, Sov. Phys. Solid State 10 (8), 2021 (1968).
R. P. Seisyan, Spectroscopy of Diamagnetic Excitons (Nauka, Moscow, 1984) [in Russian].
R. P. Seisyan and B. P. Zakharchenya, in Landau Level Spectroscopy (North-Holland, Amsterdam, 1991), pp. 343–443.
B. P. Zakharchenya and R. P. Seisyan, Sov. Phys.— Usp. 12 (1), 70 (1969).
R. J. Elliott and R. J. Loudon, J. Phys. Chem. Solids 8, 382 (1959).
S. Hofling and A. Kavokin, Nature (London) 514, 313 (2014).
T. Kazimierczuk, D. Fröhlich, S. Scheel, H. Stolz, and M. Bayer, Nature (London) 514, 343 (2014).
M. Saffman, N. G. Walker, and K. Molmer, Rev. Mod. Phys. 82, 2313 (2010).
R. P. Seisyan, M. A. Abdullaev, and B. P. Zakharchenya, Sov. Phys. Semicond. 6 (2), 351 (1972).
R. P. Seisyan, M. A. Abdullaev, and B. P. Zakharchenya, Sov. Phys. Semicond. 7 (5), 649 (1973).
M. A. Abdullaev, S. I. Kokhanovskii, Yu. M. Makushenko, and R. P. Seisyan, Sov. Phys. Semicond. 23 (7), 724 (1989).
M. A. Abdullaev, S. I. Kokhanovskii, O. S. Koshchug, and R. P. Seisyan, Sov. Phys. Semicond. 23 (7), 726 (1989).
M. A. Abdullaev, O. S. Coschug, S. I. Kokhanovskii, and R. P. Seisyan, J. Cryst. Growth 101, 802 (1990).
G. P. Aliev, O. S. Koshchug, A. I. Nesvizhskii, R. S. Seisyan, and T. V. Yazeva, Sov. Phys. Solid State 34 (8), 1282 (1992).
G. N. Aliev, N. P. Gavaleshko, O. S. Koshchug, V. I. Pleshko, R. P. Seisyan, and K. D. Sushkevich, Sov. Phys. Solid State 34 (8), 1286 (1992).
G. N. Aliev, R. P. Seisyan, and O. Coschug-Toates, J. Cryst. Growth 159, 843 (1996).
G. N. Aliev, R. M. Datsiev, S. I. Ivanov, P. S. Kop’ev, R. P. Seisyan, and S. V. Sorokin, J. Cryst. Growth 159, 523 (1996).
S. I. Kokhanovskii, Yu. M. Makushenko, R. P. Seisyan, Al. L. Efros, T. V. Yazeva, and M. A. Abdullaev, Sov. Phys. Solid State 33 (6), 967 (1991).
A. Dalgarno, in Rydberg States of Atoms and Molecules (Cambridge University Press, Cambridge, 1983; Moscow, 1985).
F. T. Gallagher, Rep. Prog. Phys. 51, 143 (1988).
A. G. Zhilich and B. S. Monozon, Sov. Phys. Solid State 17 (5), 866 (1975).
A. G. Zhilich and B. S. Monozon, Vestn. Leningr. Gos. Univ. 16, 26 (1965).
B. L. Gel’mont, R. P. Seisyan, Al. L. Efros, and A. V. Varfolomeev, Sov. Phys. Semicond. 11 (2), 130 (1977).
C. R. Pidgeon and R. N. Brown, Phys. Rev. 146, 575 (1966).
Q. H. F. Vrehen, J. Phys. Chem. Solids 29, 129 (1968).
G. N. Aliev, N. V. Luk’yanova, and R. P. Seisyan, Phys. Solid State 38 (4), 590 (1996).
L. P. Nikitin, I. B. Rusanov, R. P. Seisyan, Al. L. Efros, and T. V. Yazeva, Sov. Phys. Semicond. 16 (8), 883 (1982).
V. P. Dolgopolskii, R. P. Seisyan, and A. L. Efros, Phys. Status Solidi B 88, K177 (1978).
V. P. Dolgopol’skii, B. P. Zakharchenya, L. P. Nikitin, I. B. Rusanov, R. P. Seisyan, and Al. L. Efros, Sov. Phys. Semicond. 12 (2), 195 (1978).
M. V. Yakushev, A. V. Rodina, G. M. Shuchalin, R. P. Seisyan, M. A. Abdullaev, A. Rockett, V. D. Zhivulko, A. V. Mudryi, and R. W. Martin, Appl. Phys. Lett. 105, 142103 (2014).
S. Glutsch, U. Siegner, M.-A. Mycek, and D. S. Chemla, Phys. Rev. B: Condens. Matter 50, 17009 (1994).
D. V. Vasilenko, N. V. Luk’yanova, and R. P. Seisyan, Semiconductors 33 (1), 15 (1999).
G. N. Aliev, O. S. Koshchug, A. I. Nesvizhskii, R. P. Seisyan, and T. V. Yazeva, Phys. Solid State 35 (6), 764 (1993).
B. L. Gel’mont, S. B. Sultanov, and Al. L. Efros, Sov. Phys. Semicond. 18 (12), 1380 (1984).
Al. L. Efros and B. L. Gelmont, Solid State Commun. 49, 883 (1984).
V. T. Agekyan, Phys. Status Solidi A 43, 11 (1977).
V. T. Agekyan, A. G. Zhilich, B. P. Zakharchenya, and R. P. Seisyan, Sov. Phys. Semicond. 5 (1), 171 (1971).
V. T. Agekyan, B. P. Zakharchenya, V. V. Il’in, R. P. Seisyan, Yu. A. Stepanov, and I. P. Shiryapov, Sov. Phys. Semicond. 6 (10), 1653 (1972).
J. Halpern and B. P. Zakharchenya, Solid State Commun. 5, 633 (1967).
G. L. Bir and G. E. Pikus, Symmetry and Strain-Induced Effects in Semiconductors (Nauka, Moscow, 1972; Wiley, New York, 1974).
B. L. Gel’mont, G. V. Mikhailov, A. G. Panfilov, B. S. Razbirin, R. P. Seisyan, and Al. L. Efros, Sov. Phys. Solid State 29 (6), 995 (1987).
R. Stepniewski, K. P. Korona, A. Wysmolek, J. M. Baranowski, K. Pakula, M. Potemski, G. Martinez, I. Grzegory, and S. Porowski, Phys. Rev. B: Condens. Matter 56, 15151 (1997).
R. Stepniewski, M. Potemski, A. Wysmolek, K. Pakula, J. M. Baranowski, J. Lusakowski, I. Grzegory, S. Porowski, G. Martinez, and P. Wyder, Phys. Rev. B: Condens. Matter 60, 4438 (1999).
A. Wysmolek, M. Potemski, R. Stepniewski, J. Lusakowski, K. Pakula, J. M. Baranowski, G. Martinez, P. Wyder, I. Grzegory, and S. Porowski, Phys. Status Solidi B 216, 11 (1999).
A. M. Witowski, K. Pakula, J. M. Baranowski, M. L. Sadowski, and P. Wyder, Appl. Phys. Lett. 75, 4154 (1999).
A. B. Kapustina, B. V. Petrov, A. V. Rodina, and R. P. Seisyan, Phys. Solid State 42 (7), 1242 (2000).
P. Jackson, D. Hariskos, R. Wuerz, W. Wischmann, and M. Powalla, Phys. Status Solidi RRL 8, 219 (2014).
J. E. Rowe and J. L. Shay, Phys. Rev. B: Solid State 3, 451 (1971).
J. J. Hopfield, J. Phys. Chem. Solids 15, 97 (1960).
A. V. Varfolomeev, R. P. Seisyan, Al. L. Efros, and R. N. Yakimova, Sov. Phys. Semicond. 11 (6), 631 (1977).
V. I. Ivanov-Omskii, S. I. Kokhanovskii, R. P. Seysyan, V. A. Smirnov, V. A. Yukish, S. U. Yuldashev, and Al. L. Efros, Solid State Commun. 46, 25 (1983).
M. Graf, P. Volg, and A. B. Dzyubenko, Phys. Rev. B: Condens. Matter 54, 17003 (1996).
L. M. Kanskaya, S. I. Kokhanovskii, R. P. Seisyan, and Al. L. Efros, Sov. Phys. Semicond. 15 (9), 1079 (1981).
L. M. Kanskaya, S. I. Kokhanovskii, R. P. Seisyan, and Al. L. Efros, Sov. Phys. Semicond. 16 (11), 1315 (1982).
Al. L. Efros, L. M. Kanskaya, S. I. Kokhanovskii, and R. P. Seysyan, Solid State Commun. 43, 613 (1982).
K. I. Geiman, S. I. Kokhanovskii, R. P. Seisyan, Al. L. Efros, and V. A. Yukish, Sov. Phys. Solid State 28 (3), 476 (1986).
S. I. Kokhanovskii, R. P. Seisyan, Al. L. Efros, and V. A. Yukish, JETP Lett. 43 (7), 429 (1986).
J. M. T. Foley and D. N. Landsberg, Phys. Rev. B: Solid State 15, 4830 (1977).
R. Enderlein, F. Bechstedt, and W. Hill, Lect. Notes Phys. 152, 468 (1982).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1974; Butterworth–Heinemann, Oxford, 1981).
S. I. Kokhanovskii, Yu. M. Makushenko, R. P. Seisyan, Al. L. Efros, T. V. Yazeva, and M. A. Abdullaev, Sov. Phys. Semicond. 25 (3), 298 (1991).
S. I. Kokhanovskii, Yu. M. Makushenko, R. P. Seisyan, and Al. L. Efros, Sov. Phys. Solid State 32 (4), 588 (1990).
R. P. Seisyan, V. A. Kosobukin, and M. S. Markosov, Semiconductors 40 (11), 1287 (2006).
R. L. Aggarwal, Semicond. Semimetals 9, 151 (1972).
R. P. Seisyan, K. Moumanis, S. I. Kokhanovskii, M. E. Sasin, A. V. Kavokin, H. Gibbs, and G. Khitrova, in Recent Research Developments in Physics (Transworld Research Network, Kerala, India, 2001), Vol. 2, pp. 289–314.
N. D. Il’inskaya, S. I. Kokhanovskii, and R. P. Seisyan, Semiconductors 27 (1), 57 (1993).
A. V. Kavokin, A. I. Nesvizhskii, and R. P. Seisyan, Semiconductors 27 (6), 530 (1993).
R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A. I. Nesvizhskii, M. E. Sasin, and V. M. Ustinov, Proc. SPIE—Int. Soc. Opt. Eng. 2362, 460 (1995).
Kh. Mumanis, R. P. Seisyan, M. E. Sasin, Kh. M. Gibbs, A. V. Kavokin, S. I. Kokhanovskii, and G. Khitrova, Phys. Solid State 40 (5), 731 (1998).
S. I. Kokhanovskii, K. Moumanis, M. E. Sasin, R. P. Seisyan, A. V. Kavokin, H. Gibbs, and G. Khitrova, Phys. Status Solidi A 164, 67 (1997).
R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A. I. Nesvizhskii, M. E. Sasin, M. A. Sinitzin, and B. S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
A. V. Kavokin, S. I. Kokhanovskii, A. I. Nesvizhskii, M. E. Sasin, R. P. Seisyan, V. M. Ustinov, A. Yu. Egorov, A. E. Zhukov, and S. V. Gupalov, Semiconductors 31 (9), 950 (1997).
M. R. Vladimirova, A. V. Kavokin, M. A. Kaliteevskii, S. I. Kokhanovskii, M. E. Sasin, and R. P. Seisyan, JETP Lett. 69 (10), 779 (1999).
M. R. Vladimirova, A. V. Kavokin, M. A. Kaliteevskii, S. I. Kokhanovskii, M. E. Sasin, R. P. Seisyan, and V. M. Ustinov, in Proceedings of the 3rd International Symposium on Semiconductor Nanostructures, St. Petersburg, 1996, p. 71.
R. P. Seisyan, M. E. Sasin, S. I. Kokhanovskii, M. R. Vladimirova, A. V. Kavokin, M. A. Kaliteevski, and V. M. Ustinov, in Proceedings of the 23rd International Conference on the Physics of Semiconductors, Berlin, July 21–26, 1996 (World Scientific, Singapore, 1996), Vol. 3, p. 2051.
T. Tanaka, Y. Arakawa, and G. W. E. Bauer, Phys. Rev. B: Condens. Matter 50, 7719 (1994).
Y. Nagamune, Y. Arakawa, S. Tsukamoto, M. Nishioka, S. Sasaki, and N. Miura, Phys. Rev. Lett. 69, 2963 (1992).
V. Bellani, L. Vina, and E. Perez, in Proceedings of the 23rd International Conference on the Physics of Semiconductors, Berlin, July 21–26, 1996 (World Scientific, Singapore, 1996), Vol. 1, p. 373.
N. N. Akhmediev, Sov. Phys. JETP 52 (4), 773 (1980).
V. A. Kosobukin, R. P. Seisyan, and S. A. Vaganov, Semicond. Sci. Technol. 8, 1235 (1993).
I. Bisotto, B. Jouault, A. Raymond, W. Zawadzki, and G. Strasser, Phys. Status Solidi A 202, 614 (2005).
B. Jouault, A. Raymond, and W. Zawadzki, Phys. Rev. B: Condens. Matter 65, 245210 (2002).
G. N. Aliev, N. V. Lukyanova, R. P. Seisyan, M. R. Vladimirova, H. Gibbs, and G. Khitrova, Phys. Status Solidi A 164, 193 (1997).
R. P. Seisyan, G. M. Savchenko, and N. S. Averkiev, Semiconductors 46 (7), 873 (2012).
N. S. Averkiev, G. M. Savchenko, and R. P. Seisyan, Phys. Solid State 57 (2), 290 (2015).
D. A. Zaitsev and R. P. Seisyan, Semiconductors 48 (5), 584 (2014).
R. P. Seisyan, V. A. Kosobukin, S. A. Vaganov, M. A. Markosov, T. A. Shamirzaev, K. S. Zhuravlev, A. K. Bakanov, and A. I. Toropov, Phys. Status Solidi C 2, 900 (2005).
D. A. Zaitsev, N. D. Il’ynskaya, A. V. Roudinov, N. K. Poletaev, E. V. Nikitina, A. Yu. Egorov, A. V. Kavokin, and R. P. Seisyan, Nat. Sci. Rep. 5, 11474 (2015).
O. M. Tatsenko, V. V. Platonov, A. V. Filippov, E. A. Bychkova, A. N. Moiseenko, R. P. Seisyan, and A. G. Panfilov, in Proceedings of the Conference “Megagauss,” China, 2014.
B. B. Kadomtsev and S. Kudryavtsev, Sov. Phys. JETP 35 (1), 76 (1972).
B. B. Kadomtsev, Priroda, No. 5, 7 (1972).
A. Y. Potekhin, Astron. Astrophys. 518, A24 (2010).
M. A. Liberman and B. Johansson, Phys.—Usp. 38 (2), 117 (1995).
A. V. Korolev and M. A. Liberman, Phys. Rev. B: Condens. Matter 50, 14077 (1994).
A. D. Schwope, V. Hambaryan, F. Haberl, and Ch. Motch, Astrophys. Space Sci. 308, 619 (2007).
R. P. Seisyan, Semicond. Sci. Technol. 27, 053001 (2012).
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Original Russian Text © R.P. Seisyan, 2016, published in Fizika Tverdogo Tela, 2016, Vol. 58, No. 4, pp. 833–880.
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Seisyan, R.P. Diamagnetic excitons in semiconductors (Review). Phys. Solid State 58, 859–907 (2016). https://doi.org/10.1134/S106378341605022X
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DOI: https://doi.org/10.1134/S106378341605022X