Abstract
The nonparabolicity of exciton dispersion due to the mixing of the ground and excited states of an exciton in an external magnetic field perpendicular to the direction of its motion is considered. A model describing this effect is proposed and the nonparabolicity for an exciton in a CdTe crystal is calculated. The magnetic-field induced exciton nonparabolicity is compared with the effect caused by the nonparabolicity of the electron energy dispersion in the conduction band.
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W. E. Lamb, Phys. Rev. 85, 259 (1952).
L. P. Gor’kov and I. E. Dzyaloshinskii, Sov. Phys. JETP 26(2), 449 (1967).
S. I. Pekar, Sov. Phys. JETP 6, 785 (1957).
V. A. Kiselev, B. S. Razbirin, and I. N. Ural’tsev, JETP Lett. 18(8), 296 (1973).
V. A. Kiselev, I. V. Makarenko, B. S. Razbirin, and I. N. Ural’tsev, Sov. Phys. Solid State 19(8), 1374 (1977).
A. Tredicucci, Y. Chen, F. Bassani, J. Massies, C. Deparis, and G. Neu, Phys. Rev. B: Condens. Matter 47, 10348 (1993).
S. I. Pekar, Crystal Optics and Additional Light Waves (Naukova Dumka, Kiev, 1982; Benjamin/Cummings, Menlo Park, California, United States).
D. K. Loginov, E. V. Ubyivovk, Yu. P. Efimov, V. V. Petrov, S. A. Eliseev, Yu. K. Dolgikh, I. V. Ignat’ev, V. P. Kochereshko, and A. V. Sel’kin, Phys. Solid State 48(11), 2100 (2006).
V. P. Kochereshko, G. V. Mikhailov, and I. N. Ural’tsev, Sov. Phys. Solid State 24(9), 1529 (1982).
V. P. Kochereshko, A. V. Platonov, G. V. Mikhailov, J. J. Davies, D. Wolverson, R. T. Cox, J. Cibert, H. Mariette, D. K. Loginov, E. V. Ubyivovk, Yu. P. Efimov, and S. A. Eliseev, Int. J. Mod. Phys. B 21, 1350 (2007).
J. J. Davies, D. Wolverson, V. P. Koshereshko, A. V. Platonov, R. T. Cox, J. Cibert, H. Mariette, C. Bodin, C. Gourgon, E. V. Ubyivovk, Yu. P. Efimov, and S. A. Eliseev, Phys. Rev. Lett. 97, 187403 (2006).
A. Litvinov, V. P. Kochereshko, R. T. Cox, L. Besombes, H. Mariette, H. Boukari, D. Loginov, J. J. Davies, L. C. Smith, and D. Wolverson, Acta Phys. Pol., A 112, 161 (2007).
D. Loginov, V. P. Kochereshko, A. Litvinov, L. Besombes, H. Mariette, J. J. Davies, L. C. Smith, and D. Wolverson, Acta Phys. Pol., A 112, 381 (2007).
D. K. Loginov, V. P. Kochereshko, A. V. Platonov, J. J. Davies, D. Wolverson, L. C. Smith, R. T. Cox, J. Cibert, and H. Mariette, Phys. Solid State 51(8), 1649 (2009).
D. K. Loginov, Phys. Solid State 52(1), 70 (2010).
E. O. Kane, Phys. Rev. B: Solid State 11, 3850 (1975).
K. Cho, S. Suga, W. Dreybrodt, and F. Willmann, Phys. Rev. B: Solid State 11, 1512 (1975).
J. M. Luttinger, Phys. Rev. 102, 1030 (1956).
K. Cho, Phys. Rev. B: Solid State 14, 4463 (1976).
E. L. Ivchenko and G. Pikus, Superlattices and Other Microstructures (Springer, Berlin, 1995).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989; Butterworth-Heinemann, Oxford, 1991).
K. K. Kanazawa and F. C. Brown, Phys. Rev. 135, A1757 (1964).
P. Lawaetz, Phys. Rev. B: Solid State 4, 3460 (1971).
M. Broun and U. Rosler, J. Phys. C: Solid State Phys. 18, 3365 (1985).
J. S. Blackmore, J. Appl. Phys. 53, R123 (1982).
T. Rufand and M. Cardona, Phys. Rev. B: Condens. Matter 41, 10747 (1990).
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Original Russian Text © D.K. Loginov, A.D. Chegodaev, 2011, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2011, Vol. 140, No. 3, pp. 574–582.
An erratum to this article is available at http://dx.doi.org/10.1134/S106377611502020X.
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Loginov, D.K., Chegodaev, A.D. Magnetic-field-induced nonparabolicity of exciton dispersion in semiconductors with a nondegenerate valence band. J. Exp. Theor. Phys. 113, 502–509 (2011). https://doi.org/10.1134/S1063776111070065
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DOI: https://doi.org/10.1134/S1063776111070065