Abstract
In 1952, E.F. Gross and N.A. Karryev discovered excitons of big radius also called the Wannier–Mott excitons. Their energy spectrum, response to external electric and magnetic fields, and also elastic deformations of a crystal were extensively studied in the 1960s–1970s. The second wave of interest to excitons in Cu2O crystals appeared comparatively recent, in 2014, after the “giant” highly excited exciton states had been observed in this material. A theoretical description of highly excited exciton states needs, as a rule, new approaches, because, for such states, a deviation from the exactly solved hydrogen-like model becomes substantial and a numerical solution of the Schrödinger equation with allowance made for the features of the crystal energy band structure becomes extremely resource consuming. This report is a brief review of recent theoretical and experimental studies of the fine structure of the exciton energy spectrum in copper protoxide.
Similar content being viewed by others
References
Excitons, Ed. by E. I. Rashba and M. D. Sturge (North-Holland, Amsterdam, 1982).
C. F. Klingshirn, Semiconductor Optics (Springer, Berlin, 2012).
E. L. Ivchenko, Optical Spectroscopy of Semiconductor Nanostructures (Alpha Science Int., Harrow, UK, 2005).
H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 5th ed. (World Scientic, Singapore, 2009).
A. Baldereschi and N. Lipari, Phys. Rev. B 8, 2697 (1973).
A. Baldereschi and N. O. Lipari, Phys. Rev. B 9, 1525 (1974).
J. Thewes, J. Heckötter, T. Kazimierczuk, M. Aßmann, D. Fröhlich, M. Bayer, M. A. Semina, and M. M. Glazov, Phys. Rev. Lett. 115, 027402 (2015).
J. Heckötter, M. Freitag, D. Fröhlich, M. Aßmann, M. Bayer, M. A. Semina, and M. M. Glazov, Phys. Rev. B 95, 035210 (2017).
S. Zielinska-Raczynska, D. Ziemkiewicz, and G. Czajkowski, Phys. Rev. B 94, 045205 (2016).
F. Schweiner, J. Main, M. Feldmaier, G. Wunner, and C. Uihlein, Phys. Rev. B 93, 195203 (2016).
F. Schweiner, J. Main, G. Wunner, M. Freitag, J. Heckötter, C. Uihlein, M. Aßmann, D. Fröhlich, and M. Bayer, Phys. Rev. B 95, 035202 (2017).
T. F. Gallaher, Rydberg Atoms. Monographs on Nolecular and Chemical Physics (Cambridge Univ. Press, Cambridge, 2005).
E. F. Gross and N. A. Karryev, Dokl. Akad. Nauk SSSR 84, 471 (1952).
E. F. Gross, Nuovo Cimento Suppl. 3, 672 (1956).
F. Schöne, S.-O. Krüger, P. Grünwald, H. Stolz, S. Scheel, M. Aßmann, J. Heckötter, J. Thewes, D. Fröhlich, and M. Bayer, Phys. Rev. B 93, 075203 (2016).
C. Uihlein, D. Fröhlich, and R. Kenklies, Phys. Rev. B 23, 2731 (1981).
T. Kazimierczuk, D. Fröhlich, S. Scheel, H. Stolz, and M. Bayer, Nature (London, U.K.) 514, 343 (2014).
M. Altarelli and N. O. Lipari, Phys. Rev. B 7, 3798 (1973).
E. O. Kane, Phys. Rev. B 11, 3850 (1975).
R. Benchamekh, F. Raouafi, J. Even, F. B. C. Larbi, P. Voisin, and J.-M. Jancu, Phys. Rev. B 91, 045118 (2015).
O. Roslyak and J. L. Birman, Solid State Commun. 145, 29 (2008).
O. Roslyak and J. L. Birman, Phys. Rev. B 75, 245309 (2007).
S. Zielinska-Raczynska, G. Czajkowski, and D. Ziemkiewicz, Phys. Rev. B 93, 075206 (2016).
F. Schweiner, J. Ertl, J. Main, G. Wunner, and C. Uihlein, Phys. Rev. B 96, 245202 (2017).
E. Ruiz, S. Alvarez, P. Alemany, and R. A. Evarestov, Phys. Rev. B 56, 7189 (1997); M. French, R. Schwartz, H. Stolz, and R. Redmer, J. Phys.: Condens. Matter 21, 015502 (2009).
S. V. Gastev and N. S. Sokolov, Sov. Phys. Solid State 22, 571 (1980); Sov. Phys. Solid State 27, 255 (1985).
N. L. Yakovlev and N. S. Sokolov, Sov. Phys. Solid State 28, 1117 (1986).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1974, 3rd ed.; Pergamon, New York, 1977, 3rd ed.).
J. Heckötter, M. Freitag, D. Fröhlich, M. Aßmann, M. Bayer, M. A. Semina, and M. M. Glazov, Phys. Rev. B 96, 125142 (2017).
A. G. Zhilich and B. S. Monozon, Sov. Phys. Solid State 8, 2846 (1966).
R. P. Seisyan, Spectroscopy of Diamagnetic Exitons (Nauka, Moscow, 1984) [in Russian].
R. P. Seisyan, Phys. Solid State 58, 859 (2016).
M. Aßmann, J. Thewes, D. Fröhlich, and M. Bayer, Nat. Mater. 15, 741 (2016).
F. Schweiner, J. Main, and G. Wunner, Phys. Rev. Lett. 118, 046401 (2017).
F. Schweiner, J. Main, and G. Wunner, Phys. Rev. E 95, 062205 (2017).
V. T. Agekyan, B. S. Monozon, and I. P. Shiryapov, Phys. Status Solidi B 66, 359 (1974).
V. T. Agekyan, Phys. Status Solidi A 43, 11 (1977).
E. F. Gross, B. P. Zakharchenya, and N. M. Reinov, Dokl. Akad. Nauk SSSR 97, 57 (1954); Dokl. Akad. Nauk SSSR 99, 527 (1954).
E. F. Gross, B. P. Zakharchenya, and P. P. Pavinskii, Sov. Tech. Phys. 2, 2018 (1957).
E. F. Gross, Usp. Fiz. Nauk 63, 575 (1957).
E. F. Gross and A. A. Kaplyanskii, Sov. Phys. Solid State 2, 2637 (1960).
E. F. Gross, Sov. Phys. Usp. 5, 195 (1962).
E. F. Gross and A. A. Kaplyanskii, Sov. Phys. Solid State 2, 353 (1960).
I. A. Merkulov, Sov. Phys. JETP 39, 1140 (1974).
A. G. Aronov and A. S. Ioselevich, Sov. Phys. JETP 47, 548 (1978).
I. P. Areshev, Sov. Phys. Solid State 21, 447 (1979).
S. Yu. Slavyanov, in Problems of Mathematical Physics, Collection of Articles (Leningr. Gos. Univ., Leningrad, 1970), p. 4 [in Russian].
V. D. Mur and V. S. Popov, Sov. Phys. JETP 67, 70 (1988).
J. Heckötter, M. Freitag, D. Fröhlich, M. Aßmann, M. Bayer, M. A. Semina, and M. M. Glazov, to be published.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.A. Semina, 2018, published in Fizika Tverdogo Tela, 2018, Vol. 60, No. 8, pp. 1515–1524.
Rights and permissions
About this article
Cite this article
Semina, M.A. Fine Structure of Rydberg Excitons in Cuprous Oxide. Phys. Solid State 60, 1527–1536 (2018). https://doi.org/10.1134/S1063783418080218
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063783418080218