Resonance Raman scattering by LO phonons in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">Cd</mi></mrow><mrow><mi mathvariant="normal">x</mi></mrow></msub></mrow></math><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">Hg</mi></mrow><mrow><mn>1</mn><mi mathvariant="normal">−</mi><mi mathvariant="normal">x</mi></mrow></msub></mrow></math>Te at the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>E</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></math>+<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>Δ</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></math> gap

José Menéndez; Manuel Cardona; Lev K. Vodopyanov

doi:10.1103/PhysRevB.31.3705

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Resonance Raman scattering by LO phonons in ${Cd}_{x}$ ${Hg}_{1 - x}$ Te at the $E_{0}$ + $Δ_{0}$ gap

José Menéndez and Manuel Cardona

Lev K. Vodopyanov

Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-7000 Stuttgart 80, Federal Republic of Germany

Academy of Sciences of the Union of Soviet Socialist Republics, P. N. Lebedev Physical Institute, Leninsky Prospect 53, 117924 Moscow, U.S.S.R.

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Phys. Rev. B 31, 3705 – Published 15 March, 1985

DOI: https://doi.org/10.1103/PhysRevB.31.3705

Abstract

We have studied the resonance of the first- and second-order Raman scattering by LO phonons in ${Cd}_{x}$ ${Hg}_{1 - x}$ Te for x≊1 near the $E_{0}$ + $Δ_{0}$ gap. We show that the effect of alloying is a shift and a broadening of the resonances which can be compared with calculations of the compositional dependence of the gaps. The mechanisms contributing to one-LO-phonon and two-LO-phonon scattering are discussed and experimentally investigated. We give absolute values for the Raman efficiencies and compare them with theory.

References (33)

For an updated review on ${Cd}_{x}$ _ ${Hg}_{1 - x}$ _Te, see R. Dornhaus and G. Nimtz, in Narrow Gap Semiconductors, Vol. 98 of Springer Tracts in Modern Physics, edited by G. Höhler (Springer, Berlin, 1983), p. 119.
L. Vin ̃a, C. Umbach, M. Cardona and L. Vodopyanov, Phys. Rev. B 29, 6752 (1984), and references therein.
M. Hodet, P. Plumelle, M. Vandevyver, R. Triboulet and Y. Marfaing, Phys. Status Solidi B 92, 545 (1979).
D. N. Talwar and M. Vandevyver, J. Appl. Phys. 56, 1601 (1984).
S. C. Shen, J. H. Chu, and H. J. Ye, in Proceedings of the International Conference on the Physics of Semiconductors, San Francisco, 1984, edited by W. Harrison (unpublished).
S. P. Kozyrev, L. K. Vodopyanov and R. Triboulet, Solid State Commun. 45, 383 (1983).
A. Mooradian and T. C. Harman, in The Physics of Semimetals and Narrow Gap Semiconductors, edited by D. L. Carter and R. T. Bate (Pergamon, Oxford, 1971).
P. M. Amirtharaj, K. K. Tiong and F. H. Pollak, J. Vac. Sci. Technol. A 1, 1744 (1983).
K. K. Tiong, P. M. Amirtharaj, P. Parayanthal and F. H. Pollak, Solid State Commun. 50, 891 (1984).
P. M. Amirtharaj, K. K. Tiong, P. Parayanthal, and F. H. Pollak, in Proceedings of the International Conference on the Physics of Semiconductors, San Francisco, 1984, Ref. 5; L. K. Vodopyanov, S. P. Kozyrev, Yu. A. Aleshchenko, R. Triboulet, in Ref. 5.
W. Richter, in Solid State Physics, Vol. 78 of Springer Tracts in Modern Physics, edited by G. Höhler (Springer, Berlin, 1976), p. 121.
M. Cardona, in Light Scattering in Solids II, Vol. 50 of Topics in Applied Physics, edited by M. Cardona and G. Güntherodt (Springer, Berlin, 1982), p. 19.
P. Vogl, in Physics of Nonlinear Transport in Semiconductors, edited by D. K. Ferry, J. R. Barker, and C. Jacoboni (Plenum, New York, 1980).
J. Menéndez and M. Cardona, Phys. Rev. Lett. 51, 1297 (1983).
J. Menéndez and M. Cardona, preceding paper, Phys. Rev. B 31, 3696 (1985).
D. C. Hamilton, Phys. Rev. 188, 1221 (1969).
A. A. Gogolin and E. I. Rashba, Solid State Commun. 19, 1177 (1976).
R. Zeyher, Phys. Rev. B 9, 4439 (1974).
A. A. Abdumalikov and A. A. Klochikhin, Phys. Status Solidi B 80, 43 (1977).
A. A. Klyuchikhin, S. A. Permogorov and A. N. Reznitskii, Zh. Eksp. Teor. Fiz. 71, 2230 (1976) [Sov. Phys.—JETP 44, 1176 (1976)].
See, for example, D. J. Chadi and M. L. Cohen, Phys. Rev. B 7, 692 (1973).
K. C. Hass, H. Ehrenreich and B. Velický, Phys. Rev. B 27, 1088 (1983).
R. Triboulet, Rev. Phys. Appl. 12, 123 (1977).
A. Compaan and H. J. Trodahl, Phys. Rev. B 29, 793 (1984).
J. Wagner and M. Cardona, Solid State Commun. 48, 301 (1983).
W. C. Dash and R. Newman, Phys. Rev. 99, 1151 (1955).
D. E. Aspnes and A. A. Studna, Phys. Rev. B 27, 985 (1983).
F. Bechstedt and D. Haus, Phys. Status Solidi B 88, 163 (1978).
M. A. Renucci, J. B. Renucci, R. Zeyher and M. Cardona, Phys. Rev. B 10, 4309 (1974).
W. Kiefer, W. Richter and M. Cardona, Phys. Rev. B 12, 2346 (1975).
L. Vin ̃a and M. Cardona, Phys. Rev. B 29, 6739 (1984).
J. A. Van Vechten, O. Berolo and J. C. Woolley, Phys. Rev. Lett. 29, 1400 (1972).
M. Cardona, Phys. Rev. 129, 69 (1963).

[c1] For an updated review on ${Cd}_{x}$ _ ${Hg}_{1 - x}$ _Te, see R. Dornhaus and G. Nimtz, in Narrow Gap Semiconductors, Vol. 98 of Springer Tracts in Modern Physics, edited by G. Höhler (Springer, Berlin, 1983), p. 119.

[c2] L. Vin ̃a, C. Umbach, M. Cardona and L. Vodopyanov, Phys. Rev. B 29, 6752 (1984), and references therein.

[c3] M. Hodet, P. Plumelle, M. Vandevyver, R. Triboulet and Y. Marfaing, Phys. Status Solidi B 92, 545 (1979).

[c4] D. N. Talwar and M. Vandevyver, J. Appl. Phys. 56, 1601 (1984).

[c5] S. C. Shen, J. H. Chu, and H. J. Ye, in Proceedings of the International Conference on the Physics of Semiconductors, San Francisco, 1984, edited by W. Harrison (unpublished).

[c6] S. P. Kozyrev, L. K. Vodopyanov and R. Triboulet, Solid State Commun. 45, 383 (1983).

[c7] A. Mooradian and T. C. Harman, in The Physics of Semimetals and Narrow Gap Semiconductors, edited by D. L. Carter and R. T. Bate (Pergamon, Oxford, 1971).

[c8] P. M. Amirtharaj, K. K. Tiong and F. H. Pollak, J. Vac. Sci. Technol. A 1, 1744 (1983).

[c9] K. K. Tiong, P. M. Amirtharaj, P. Parayanthal and F. H. Pollak, Solid State Commun. 50, 891 (1984).

[c10] P. M. Amirtharaj, K. K. Tiong, P. Parayanthal, and F. H. Pollak, in Proceedings of the International Conference on the Physics of Semiconductors, San Francisco, 1984, Ref. 5; L. K. Vodopyanov, S. P. Kozyrev, Yu. A. Aleshchenko, R. Triboulet, in Ref. 5.

[c11] W. Richter, in Solid State Physics, Vol. 78 of Springer Tracts in Modern Physics, edited by G. Höhler (Springer, Berlin, 1976), p. 121.

[c12] M. Cardona, in Light Scattering in Solids II, Vol. 50 of Topics in Applied Physics, edited by M. Cardona and G. Güntherodt (Springer, Berlin, 1982), p. 19.

[c13] P. Vogl, in Physics of Nonlinear Transport in Semiconductors, edited by D. K. Ferry, J. R. Barker, and C. Jacoboni (Plenum, New York, 1980).

[c14] J. Menéndez and M. Cardona, Phys. Rev. Lett. 51, 1297 (1983).

[c15] J. Menéndez and M. Cardona, preceding paper, Phys. Rev. B 31, 3696 (1985).

[c16] D. C. Hamilton, Phys. Rev. 188, 1221 (1969).

[c17] A. A. Gogolin and E. I. Rashba, Solid State Commun. 19, 1177 (1976).

[c18] R. Zeyher, Phys. Rev. B 9, 4439 (1974).

[c19] A. A. Abdumalikov and A. A. Klochikhin, Phys. Status Solidi B 80, 43 (1977).

[c20] A. A. Klyuchikhin, S. A. Permogorov and A. N. Reznitskii, Zh. Eksp. Teor. Fiz. 71, 2230 (1976) [Sov. Phys.—JETP 44, 1176 (1976)].

[c21] See, for example, D. J. Chadi and M. L. Cohen, Phys. Rev. B 7, 692 (1973).

[c22] K. C. Hass, H. Ehrenreich and B. Velický, Phys. Rev. B 27, 1088 (1983).

[c23] R. Triboulet, Rev. Phys. Appl. 12, 123 (1977).

[c24] A. Compaan and H. J. Trodahl, Phys. Rev. B 29, 793 (1984).

[c25] J. Wagner and M. Cardona, Solid State Commun. 48, 301 (1983).

[c26] W. C. Dash and R. Newman, Phys. Rev. 99, 1151 (1955).

[c27] D. E. Aspnes and A. A. Studna, Phys. Rev. B 27, 985 (1983).

[c28] F. Bechstedt and D. Haus, Phys. Status Solidi B 88, 163 (1978).

[c29] M. A. Renucci, J. B. Renucci, R. Zeyher and M. Cardona, Phys. Rev. B 10, 4309 (1974).

[c30] W. Kiefer, W. Richter and M. Cardona, Phys. Rev. B 12, 2346 (1975).

[c31] L. Vin ̃a and M. Cardona, Phys. Rev. B 29, 6739 (1984).

[c32] J. A. Van Vechten, O. Berolo and J. C. Woolley, Phys. Rev. Lett. 29, 1400 (1972).

[c33] M. Cardona, Phys. Rev. 129, 69 (1963).

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Resonance Raman scattering by LO phonons in ${Cd}_{x}$ ${Hg}_{1 - x}$ Te at the $E_{0}$ + $Δ_{0}$ gap

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Resonance Raman scattering by LO phonons in CdxHg1−xTe at the E0+Δ0 gap

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Resonance Raman scattering by LO phonons in ${Cd}_{x}$ ${Hg}_{1 - x}$ Te at the $E_{0}$ + $Δ_{0}$ gap