Isotope splitting of the zero-phonon line of Fe2+ in cubic III-V semiconductors

[en] A theoretical study of the isotopic-mass dependence of the internal transitions of Fe2+ at a cation site in a cubic zinc-blende semiconductor is presented. The model used is based on crystal-field theory and includes the spin-orbit interaction and a weak dynamic Jahn-Teller coupling between the (5) Gamma(5) excited manifold of Fe2+ and a local vibrational mode (LVM) of Gamma(5) symmetry. The mass dependence of the LVM frequency is described, in the harmonic approximation, within two different limits: the rigid-cage model and a molecular model. In the rigid-cage model, the Fe2+ ion undergoes a displacement but the rest of the lattice is fixed. In this case, a simple M-1/2 dependence of the frequency is obtained and the Jahn-Teller energy, E-JT, is independent of the mass. In the molecular model, the four nearest neighbors of the magnetic ion are allowed to move and the LVM then behaves as the Gamma(5) mode of a MX4 tetrahedral molecule leading to a more complicated dependence of the frequency on the isotopic mass and to a mass-dependence of E-JT. The theoretical results obtained with these two models are compared with the observed isotopic shifts of the zero-phonon lines in InP:Fe and GaP:Fe corresponding to an optical transition between the vibronic Gamma(1) ground state and the lowest Gamma(5) state originating from the (5) Gamma(5) excited orbital multiplet. A prediction of the isotopic shifts of the zero-phonon line in GaAs:Fe is also presented. (C) 1997 Elsevier Science Ltd.

Disciplines :

Physics

Author, co-author :

Colignon, David ; Université de Liège - ULiège > Physique > Physique Théorique et Physique des Semiconducteurs

Mailleux, Éric; Université de Liège - ULiège > Physique > Physique Théorique et Physique des Semiconducteurs

Kartheuser, Eduard ; Université de Liège - ULiège > Services généraux (Faculté des sciences) > Relations académiques et scientifiques (Sciences)

Rodriguez, Sergio; Purdue University - Purdue > Physics

Villeret, Murielle; City University London > Mathematics

Language :

English

Title :

Isotope splitting of the zero-phonon line of Fe2+ in cubic III-V semiconductors

Publication date :

1998

Journal title :

Solid State Communications

ISSN :

0038-1098

Publisher :

Pergamon Press - An Imprint of Elsevier Science

Volume :

105

Issue :

Pages :

205-209

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 28 September 2009

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Bibliography

London, H., Z. Phys. Chem., 16, 1958, 302; Wilks, J., The Properties of Liquid and Solid Helium. Oxford University Press, London, 1967.
London, H., Z. Phys. Chem., 16, 1958, 302; Wilks, J., The Properties of Liquid and Solid Helium. Oxford University Press, London, 1967.
Maxwell, E., Phys. Rev., 78, 1950, 477; Reynolds, C.A., Serin, B., Wright, W.H. and Nesbitt, L.B., Phys. Rev., 78, 1950, 487; Fröhlich, H., Phys. Rev., 79, 1950, 845; Bardeen, J., Phys. Rev., 79, 1950, 167.
Maxwell, E., Phys. Rev., 78, 1950, 477; Reynolds, C.A., Serin, B., Wright, W.H. and Nesbitt, L.B., Phys. Rev., 78, 1950, 487; Fröhlich, H., Phys. Rev., 79, 1950, 845; Bardeen, J., Phys. Rev., 79, 1950, 167.
Maxwell, E., Phys. Rev., 78, 1950, 477; Reynolds, C.A., Serin, B., Wright, W.H. and Nesbitt, L.B., Phys. Rev., 78, 1950, 487; Fröhlich, H., Phys. Rev., 79, 1950, 845; Bardeen, J., Phys. Rev., 79, 1950, 167.
Maxwell, E., Phys. Rev., 78, 1950, 477; Reynolds, C.A., Serin, B., Wright, W.H. and Nesbitt, L.B., Phys. Rev., 78, 1950, 487; Fröhlich, H., Phys. Rev., 79, 1950, 845; Bardeen, J., Phys. Rev., 79, 1950, 167.
Geballe, T.H. and Hull, G.W., Phys. Rev., 110, 1958, 773.
Buschert, R.C., Merlini, A.E., Pace, S. Rodriguez, S. and Grimsditch, M.H., Phys. Rev. B, 38, 1988, 5219.
Holloway, H., Hass, K.C., Tamor, M.A., Anthony, T.R. and Banholzer, W.F., Phys. Rev. B. 44, 1991, 7123.
Fuchs, H.D., Grein, C.H., Thomsen, C., Cardona, M., Hansen, W.L., Haller, E.E. and Itoh, K., Phys. Rev. B, 43, 1991, 4835; Fuchs, H.D., Etchegoin, P., Cardona, M., Itoh, K. and Haller, E.E., Phys. Rev. Lett., 70, 1993, 1715.
Fuchs, H.D., Grein, C.H., Thomsen, C., Cardona, M., Hansen, W.L., Haller, E.E. and Itoh, K., Phys. Rev. B, 43, 1991, 4835; Fuchs, H.D., Etchegoin, P., Cardona, M., Itoh, K. and Haller, E.E., Phys. Rev. Lett., 70, 1993, 1715.
Parks, C., Ramdas, A.K., Rodriguez, S., Itoh, K.M. and Haller, E.E., Phys. Rev. B, 49, 1994, 14244.
Hass, K.C., Tamor, M.A., Anthony, T.R. and Banholzer, W.F., Phys. Rev. B, 45, 1992, 7171.
Ramdas, A.K., Rodriguez, S., Grimsditch, M., Anthony, T.R. and Banholzer, W.F., Phys. Rev. Lett., 71, 1993, 189.
Vogelgesang, R., Ramdas, A.K., Rodriguez, S., Grimsditch, M. and Anthony, T.R., Phys. Rev. B, 54, 1996, 3989.
Ramdas, A.K., Solid State Commun., 96, 1995, 111.
Haller, E.E., J. Appl. Phys., 77, 1995, 2857.
Sciacca, M.D., Mayur, A.J., Shin, N., Miotkowski, I., Ramdas, A.K. and Rodriguez, S., Phys. Rev. B, 51, 1995, 6971.
Sciacca, M.D., Mayur, A.J., Kim, H., Miotkowski, I., Ramdas, A.K. and Rodriguez, S., Phys. Rev. B, 53, 1996, 12878.
Mayur, A.J., Sciacca, M.D., Kim, H., Miotkowski, I., Ramdas, A.K. and Rodriguez, S., Phys. Rev. B, 53, 1996, 12884.
Heitz, R., Hoffmann, A. and Broser, I., Phys. Rev. B, 48, 1993, 8672.
Hoffmann, A. and Scherz, U., J. Cryst. Growth, 101, 1990, 385.
Murray, R. and Newman, R.C., in Impurities and Defects in Group IV and III-V Compounds, Landolt-Börnstein New Series, Vol. 22b (Edited by O. Madelung and M. Schultz). Springer, Berlin, 1989.
Bishop, S.G., in Deep Centers in Semiconductors (Edited by S. Pantelides), p. 667. Gordon and Breach, New York, 1985.
Pressel, K., Thonke, K., Dörnen, A. and Pensl, G., Phys. Rev. B, 43, 1991, 2239.
Thonke, K. and Pressel, K., Phys. Rev. B, 44, 1991, 13418.
Rückert, G., Pressel, K., Dörnen, A., Thonke, K. and Ulrici, W., Phys. Rev. B, 46, 1992, 13207.
Pressel, K., Rückert, G., Dörnen, A. and Thonke, K., Phys. Rev. B, 46, 1992, 13171.
Emsley, J., The Elements, 2nd Edn. Clarendon Press, Oxford, 1995.
Colignon, D. and Kartheuser, E., Z. Phys. Chem., 201, 1997, 119.
Herzberg, G., Molecular Spectra and Molecular Structure II. Infrared and Raman Spectra of Polyatomic Molecules. D. Van Nostrand Co., Princeton, NJ, 1960.
Koster, G.F., Dimmock, J.O., Wheeler, R.G. and Statz, H., Properties of the Thirty-Two Point Groups. MIT Press, Cambridge, MA, 1966.
Colignon, D., Kartheuser, E., Rodriguez, S. and Villeret, M., Phys. Rev. B, 51, 1995, 4849.
Savona, V., Bassani, F. and Rodriguez, S., Phys. Rev. B, 49, 1994, 2408.
See, for example, Ballhausen, C.J., Introduction to Ligand Field Theory. McGraw-Hill, New York, 1962; Wadia, W., Theor. Chim. Acta, 12, 1968, 104.
See, for example, Ballhausen, C.J., Introduction to Ligand Field Theory. McGraw-Hill, New York, 1962; Wadia, W., Theor. Chim. Acta, 12, 1968, 104.
Biernacki, S.W., Solid State Commun., 22, 1977, 33.
Mailleux, E., Mémoire de Licence en Sciences Physiques. Université de Liège, 1996 (unpublished).
Heine, V. and Henry, C.H., Phys. Rev. B, 11, 1975, 3795.