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Ultrasonic Consequences of the Jahn–Teller Effect

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The Jahn-Teller Effect

Part of the book series: Springer Series in Chemical Physics ((CHEMICAL,volume 97))

Abstract

Contribution of the Jahn–Teller system to the elastic moduli and ultrasonic wave attenuation of the diluted crystals is discussed in the frames of phenomenological approach and on the basis of quantum-mechanical theory. Both, resonant and relaxation processes are considered. The procedure of distinguishing the nature of the anomalies (either resonant or relaxation) in the elastic moduli and attenuation of ultrasound as well as generalized method for reconstruction of the relaxation time temperature dependence are described in detail. Particular attention is paid to the physical parameters of the Jahn-Teller complex that could be determined using the ultrasonic technique, namely, the potential barrier, the type of the vibronic modes and their frequency, the tunnelling splitting, the deformation potential and the energy of inevitable strain. The experimental results obtained in some zinc-blende crystals doped with 3d ions are presented.

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References

  1. B. Lüthi, Physical Acoustics in the Solid State, 2nd edn. (Springer, Berlin, 2005), pp. 119–146

    Google Scholar 

  2. M.D. Sturge, in The Jahn-Teller Effect in Solids, ed. by S. Frederick, D. Turnbull, H. Ehrenreich. Solid State Physics, vol 20 (Academic, New York, 1967), p. 89

    Google Scholar 

  3. V.V. Gudkov, A.T. Lonchakov, V.I. Sokolov, I.V. Zhevstovskikh, V.T. Surikov, Phys. Rev. B 77 155210 (2008)

    Article  Google Scholar 

  4. L.D. Landau, E.M. Lifshitz, Theoretical Physics: Theory of Elastisity, vol.7 (Nauka, Moscow, 1987) (in English: Addson-Wesley, Reading, MA, 1959)

    Google Scholar 

  5. R.N. Thurston, in Physical Acoustics: Priciples and Methods, ed. by W.P. Mason, vol 1A (Academic, New York, 1964)

    Google Scholar 

  6. C. Truesdell, R.A. Toupin, Handbuch der Physik, (Springer, Berlin, 1960), vol.III/1, pp. 226–793

    Google Scholar 

  7. C. Zeener, Elasticity and Anelasticity of Metals. (University of Chicago Press, Chicago, 1948)

    Google Scholar 

  8. I.B. Bersuker, Zh. Experim. I Teor. Fiz. 44 1577 (1963); Sov. Phys. JETP (English Transl.) 17 1060 (1963)

    Google Scholar 

  9. I.B. Bersuker, The Jahn–Teller Effect. (Cambridge University Press, Cambridge, 2006), p. 616

    Google Scholar 

  10. E.M. Gyorgy, M.D. Sturge, D.B. Fraser, R.C. LeCraw, Phys. Rev. Lett. 15 19 (1965)

    Article  CAS  Google Scholar 

  11. M.D. Sturge, J.T. Krause, E.M. Gyorgy, R.C. LeCraw, F.R. Merritt, Phys. Rev. 155 218 (1967)

    Article  CAS  Google Scholar 

  12. N.S. Averkiev, T.K. Ashirov, A.A. Gutkin, E.B. Osipov, V.E. Sedov, Fizika Tverdogo Tela 28 2961 (1986); Sov. Phys. Phys. Solid State (English Transl.) 28 2961 (1986)

    Google Scholar 

  13. V.V. Gudkov, Magnetoacoustic Polarization Phenomena in Solids. (Springer, Berlin, 2000), pp. 23–32

    Google Scholar 

  14. Hp. Schad, K. Lassmann, Phys. Let. 56A 409 (1976)

    Google Scholar 

  15. V. Gudkov, A. Lonchakov, V. Sokolov, I. Zhevstovskikh, N. Gruzdev, Phys. Stat. Sol. (b) 242 R30 (2005)

    Google Scholar 

  16. V. Gudkov, A. Lonchakov, V. Sokolov, I. Zhevstovskikh, N. Gruzdev Jour. Korean Phys. Soc. (b) 52 63 (2008)

    Google Scholar 

  17. V.V. Gudkov, A.T. Lonchakov, V.I. Sokolov, I.V. Zhevstovskikh, Phys. Rev. B 73 035213 (2006)

    Article  Google Scholar 

  18. V.V. Gudkov, A.T. Lonchakov, I.V. Zhevstovskikh, V.I. Sokolov, V. T. Surikov, Official Conference Book 25th International Conference on Low Temperature Physics (Amsterdam, Netherlands, August 6–13, 2008) p. 323; Physics of Low Temperatures 35 99-102 (2009)

    Google Scholar 

  19. K.A. Kikoin, V.N. Fleurov Transition Metal Impurities in Semiconductors: Electronic Structure and Physical Properties, (World Scientific, Singapore, 1994), p. 163

    Google Scholar 

  20. G. Bevilacqua, L. Martinelli, E.E. Vogel, O. Mualin, Phys. Rev. B 70 075206 (2004)

    Article  Google Scholar 

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Correspondence to Vladimir Gudkov .

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Gudkov, V. (2009). Ultrasonic Consequences of the Jahn–Teller Effect. In: Köppel, H., Yarkony, D., Barentzen, H. (eds) The Jahn-Teller Effect. Springer Series in Chemical Physics, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03432-9_23

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