Abstract
In the first two chapters we have described how the Jahn—Teller effect gives rise to local distortions around a degenerate center and how the degenerate states of different Jahn—Teller sites interact. We have shown that interstitial interaction makes the ground state of the crystal correspond to a certain packing of “frozen” (in contrast with the case of an isolated center) local Jahn—Teller distortions. With increasing temperature the correlations of the Jahn—Teller distortions become weaker, and a transition to a disordered phase occurs. This structural phase transition associated with the cooperative Jahn—Teller effect is naturally determined by the lowest electronic state of the lattice sites and by the character of their vibronic coupling. In this chapter we discuss the main types of conceptually different situations produced by the cooperative Jahn—Teller effect and examine the elastic anomalies accompanying this structural phase transition.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. H. Cooke, S. J. Swithenby, and M. R. Wells, Solid State Commun. 10, 265 (1972).
P. J. Becker, M. J. M. Leask, and R. N. Tyte, J. Phys. C. Solid State Phys. 5, 2027 (1972).
G. A. Gehring, and K. A. Gehring, Rep. Prog. Phys. 38, 1 (1975).
R. J. Elliott, R. T. Harley, W. Hayes, and S. R. P. Smith, Proc. R. Soc. London. A, 328, 217 (1972).
S. A. Miller, H. H. Caspers, and R. E. Rast, Phys. Rev. 168, 964 (1968).
P. Dowson, M. M. Harrgreave, and G. R. Wilkinson, J. Phys. C 4, 240 (1971).
B. G. Vekhter and M. D. Kaplan, Phys. Lett. A 43, 398 (1973).
B. G. Vekhter and M. D. Kaplan, Sov. Phys. Solid State 15, 1344 (1973).
R. J. Elliott, in: Proceedings of the International Conference on Light Scattering in Solids, Paris 1971, M. Balkanski (ed.), Flammarion Press, Paris (1971), p. 354.
A. P. Levanyuk, Sov. Phys. JETP 36, 571 (1959).
V. L. Ginzburg, Sov. Phys. Solid State 2, 1824 (1961).
V. G. Vaks, Introduction to the Microscopic Theory of Ferroelectrics [in Russian], Nauka, Moscow (1972).
A. Segmuller, R. L. Melcher, and H. Kinder, Solid State Commun. 15, 101 (1974).
R. L. Melcher, E. Pytte, and B. A. Scott, Phys. Rev. Lett. 31, 307 (1973).
R. L. Melcher In: Physical Acoustics, Vol. 12, W. P. Mason and R. N. Thurston (eds.), Academic Press, New York (1976).
M. Kataoka and J. Kanamori, J. Phys. Soc. Jpn. 32, 113 (1972).
I. B. Bersuker and B. G. Vekhter, Sov. Phys. Solid State 5, 1772 (1964).
F. H. Ham in: Electron Paramagnetic Resonance, S. Geschwind (ed.), Plenum Press, New York, (1972), p. 1.
Y. Kino, B. Luthi, and M. E. Mullen, J. Phys. Soc. Jpn. 33, 687 (1972).
A. H. Cooke, C. J. Ellis, K. A. Gehring, M. J. M. Leask, D. M. Martin, B. M. Wanklyn, M. R. Wells, and R. L. White, Solid State Commun. 8, 689 (1970).
A. H. Cooke, D. M. Martin, and M. R. Wells, Solid State Commun. 9, 519 (1971)
K. A. Gehring and H. M. Rosenberg, Phys. Status Solidi B 47, K75 (1971).
C. J. Ellis, K. A. Gehring, M. J. M. Leask, and R. L. White, J. Phys. Colloq. 32, C1–1024 (1971).
J. B. Forsyth and C. F. Sampson, Phys. Lett A 36, 223 (1971).
G. A. Gehring, A. P. Malozemoff, W. Staube, and R. N. Tyte, J. Phys. Chem. Solids 33, 1487 (1972).
G. A. Gehring, A. P. Malozemoff, W. Staube, and R. N. Tyte, yJ. Phys. Chem. Solids 33, 1499 (1972).
R. L. Melcher and B. A. Scott, Phys. Rev. Lett. 28, 607 (1972).
J. R. Sandercock, S. B. Palmer, R. J. Elliott, W. Hayes, S. R. P. Smith, and A. P. Young, J. Phys. C. Solid State Phys. 5, 3126 (1972).
K. A. Gehring, A. P. Malozemoff, W. Staube, and R. N. Tyte, Solid State Commun. 9, 511 (1971).
M. R. Wells and R. D. Worswiok, Phys. Lett. A 42, 269 (1972).
G. Will, H. Gobel, C. F. Sampson, and J. B. Forsyth, Phys. Lett. A 38, 207–208 (1972).
J. M. McPherson and Yung-Li Wang, J. Phys. Chem. Solids 36, 493 (1975).
R. T. Harley, W. Hayes, A. M. Perry, S. R. P. Smith, R. J. Elliott, and I. D. Saville, J. Phys. C. Solid State Phys. 7, 3145 (1974).
R. T. Harley, in: Electron-Phonon Interactions and Phase Transitions, T. Riste (ed.), Plenum Press, New York-London (with NATO Scientific Affairs Division), (1977), p. 277.
R. T. Harley and D. I. Manning, J. Phys. C. Solid State Phys. 11, L633 (1978).
R. Englman and B. Halperin, Phys. Rev. B 2, 75 (1970).
R. Halperin and R. Englman, Phys. Rev. B 3, 1698 (1971).
R. Englman, The Jahn—Teller Effect in Molecules and Crystals, Wiley, New York-London (1972).
H. Thomas and K. A. Muller, Phys. Rev. Lett. 28, 820 (1972).
G. Schroder and H. Thomas, Z. Phys. B 25, 369 (1976).
H. Thomas, in: Electron-Phonon Interactions and Phase Transitions, T. Riste (ed.), Plenum Press, New York-London (with NATO Scientific Affairs Division) (1977), p. 245.
K.-H. Hock, G. Schroder, and H. Thomas, Z. Phys. B 30, 403 (1978).
E. Pytte, Phys. Rev. B 8, 3954 (1973).
G. Gorodetsky, B. Luthi, and B. M. Wanklyn, Solid State Commun. 9, 2157 (1971).
B. G. Vekhter, V. N. Golubev, and M. D. Kaplan, Sov. Phys. Solid State 28, 1562 (1986).
B. G. Vekhter, V. N. Golubev, and M. D. Kaplan, Sov. Phys. Solid State 29, 768 (1987).
J. Shanker, G. D. Jain, and S. K. Sharma, Phys. Status Solidi B 104, 75 (1981).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media New York
About this chapter
Cite this chapter
Kaplan, M.D., Vekhter, B.G. (1995). The Elastic Properties of Crystals with Jahn—Teller Structural Phase Transitions. In: Cooperative Phenomena in Jahn—Teller Crystals. Modern Inorganic Chemistry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1859-4_3
Download citation
DOI: https://doi.org/10.1007/978-1-4615-1859-4_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-5755-1
Online ISBN: 978-1-4615-1859-4
eBook Packages: Springer Book Archive