Abstract
In the transverse geometry we have detected birefringence that is linear in the magnetic field B and the light wave vector k in the cubic magnetic semiconductors Cd1−x MnxTe (0⩽x⩽0.52). The effect was found to be large, ∼1 (deg cm−1 T−1), and highly anisotropic, in contrast to the Faraday and Voigt effects. The phenomenon is represented by terms of type γ ijklBkkl in the permittivity tensor ε ij and can be described by two parameters, A and g. Spectral studies have shown that the normalized parameters A/x and g/x are independent of x, i.e., the effect can be related to the Mn2+ ions. Below the edge E g of the forbidden band, the dispersion of A is described by a (E g−E)−1.4-dependence, while the dispersion of g is nil. Theoretical analysis has shown that the spectral curves for A and g can be explained by the special features of the dispersion laws for electrons and holes (features related to the fact that there is no inversion center) and by the dependence of the parameters of the exchange interaction on the electron wave vector.
Similar content being viewed by others
References
J. K. Furdyna, J. Appl. Phys. 64, R29 (1988).
P. I. Nikitin and A. I. Savchuk, Usp. Phys. Nauk 160, No. 2, 167 (1990) [Sov. Phys. Usp. 33, 974 (1990)].
Eunsoon Oh, D. U. Bartholomew, A. K. Ramdas, J. K. Furdyna, and U. Debska, Phys. Rev. B 44, 10 551 (1991).
S. Hugonnard-Bruyère, C. Buss, F. Vouilloz, R. Frey, and C. Flytzanis, Phys. Rev. B 50, 2200 (1994).
C. Buss, S. Hugonnard-Bruyère, R. Frey, and C. Flytzanis, Solid State Commun. 92, 929 (1994).
I. M. Boswarva, R. E. Howard, and A. B. Lidiard, Proc. R. Soc. London, Ser. A 269, 125 (1962).
J. G. Mavroides, in Optical Properties of Solids, F. Abelès (Ed.), North-Holland, Amsterdam (1972).
D. L. Portigal and E. Burstein, J. Phys. Chem. Solids 32, 603 (1971).
V. M. Agranovich and V. L. Ginzburg, Crystal Optics with Spatial Dispersion and Excitons, 2nd ed., Springer-Verlag, Berlin (1984).
P. Etchegoin, A. Fainstein, P. Santos, L. C. Lew Yan Voon, and M. Cardona, Solid State Commun. 92, 505 (1994).
J. J. Hopfield and D. G. Thomas, Phys. Rev. Lett. 4, 357 (1960).
E. F. Gross, B. P. Zakharchenya, and O. V. Konstantinov, Fiz. Tverd. Tela (Leningrad) 3, 305 (1961) [Sov. Phys. Solid State 3, 221 (1961)].
E. L. Ivchenko, V. P. Kochereshko, G. V. Mikhailov, and I. N. Ural’tsev, JETP Lett. 37, 164 (1983); Phys. Status Solidi B 121, 221 (1984).
O. V. Gogolin, V. A. Tsvetkov, and E. G. Tsitsishvili, Zh. Éksp. Teor. Fiz. 87, 1038 (1984) [Sov. Phys. JETP 60, 593 (1984)].
E. G. Tsitsishvili, Fiz. Tekh. Poluprovodn. 20, 650 (1986) [Sov. Phys. Semicond. 20, 412 (1986)].
R. V. Pisarev, V. V. Krichevtsov, and V. V. Pavlov, Phase Transit. 37, 63 (1991).
V. V. Krichevtsov, V. V. Pavlov, R. V. Pisarev, and V. N. Gridnev, Phys. Rev. Lett. 76, 4628 (1996).
V. N. Gridnev, V. V. Krichevtsov, V. V. Pavlov, and R. V. Pisarev, JETP Lett. 65, 68 (1997).
Yu. I. Sirotin and M. P. Shaskol’skaya, Fundamentals of Crystal Physics, Mir Publishers, Moscow (1982).
J. Ferré and G. A. Gehring, Rep. Prog. Phys. 47, 526 (1984).
É. I. Rashba and V. I. Sheka, Fiz. Tverd. Tela (Leningrad) 3, 1735 (1961) [Sov. Phys. Solid State 3, 1257 (1961)].
Y.-F. Chen, N. Dobrowolska, J. K. Furdyna, and S. Rodriguez, Phys. Rev. B 32, 890 (1985).
J. A. Gaj, J. Ginter, and R. R. Galazka, Phys. Status Solidi B 89, 655 (1978).
J. A. Gaj, in Diluted Magnetic Semiconductors, Vol. 25 of Semiconductors and Semimetals, J. K. Furdyna and J. Kossut (Eds.), Academic Press, Boston (1988), p. 275.
E. Kane, in Semiconductors and Semimetals, Vol. 1, R. K. Willardson and A. C. Beer (Eds.), Academic Press, New York (1966), p. 75.
N. R. Ogg, Proc. Phys. Soc. London B 89, 431 (1966).
G. L. Bir and G. E. Pikus, Symmetry and Strain-Induced Effects in Semiconductors, Wiley, New York (1974).
A. K. Bhattacharjee, Phys. Rev. B 41, 5696 (1990).
A. G. Aronov and A. S. Ioselevich, Fiz. Tverd. Tela (Leningrad) 20, 2615 (1978) [Sov. Phys. Solid State 20, 1511 (1978)].
D. T. F. Marple, J. Appl. Phys. 35, 539 (1964).
Author information
Authors and Affiliations
Additional information
Zh. Éksp. Teor. Fiz. 114, 1018–1033 (September 1998)
Rights and permissions
About this article
Cite this article
Krichevtsov, B.B., Pisarev, R.V., Rzhevskii, A.A. et al. Magnetically induced spatial dispersion in the cubic magnetic semiconductors Cd1−x MnxTe. J. Exp. Theor. Phys. 87, 553–562 (1998). https://doi.org/10.1134/1.558693
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.558693