Abstract
In this chapter we study the role of phonons in ferroelectric phase transitions. Section 3.1 is devoted to a description of general properties of ferroelectric materials. In Sect. 3.2 ferroelectric materials are classified on the basis of materials and structures, and the static dielectric properties of selected ferroelectrics are discussed. Section 3.3 contains the thermodynamic aspects of ferroelectric phase transitions on the basis of Devonshire’s theory; first- and second-order transitions are discussed. In Sect. 3.4 the general aspects of the lattice dynamics of displacive ferroelectric phase transitions are presented, including the lattice dynamical basis of Devonshire’s theory. Section 3.5 contains a discussion of some lattice dynamical models used for the study of ferroelectric phase transitions. The soft-mode spectroscopy of selected ferroelectrics is discussed in Sect. 3.6. Section 3.7 contains a short discussion of quantum ferroelectricity, while Sect. 3.8 is devoted to disordered polar systems. The last section contains a number of illustrative problems.
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References
P. Brüesch: Phonons: Theory and Experiments I, Springer Ser. Solid-State Sci., Vol. 34 ( Springer, Berlin, Heidelberg 1982 )
M.E. Lines, A.M. Glass: Principles and Applications of Ferroelectrics and Related Materials ( Clarendon, Oxford 1977 );
J.C. Burfoot, G.W. Taylor: Polar Dielectrics and their Applications ( MacMillan, London 1979 )
Landolt-Börnstein: Ferroelectrics and Related Substances, Vol. 16 ( Springer, Berlin, Heidelberg 1981 )
H. Mueller: Phys. Rev. 57, 829 (1940); 58, 565 (1940);
W.P. Mason: Phys. Rev. 72, 854 (1947)
A. von Arx, W. Bantle: Helv. Phys. Acta 16, 211 (1943)
G. Busch: Helv. Phys. Acta 11, 269 (1938)
S. Hoshino, T. Mitsui, F. Jona, R. Repinsky: Phys. Rev. 107, 1255 (1957)
C. Yeh, K.F. Casey: Phys. Rev. 144, 665 (1966)
W.J. Merz: Phys. Rev. 76, 1221 (1949)
E. Fatuzzo, W.J. Merz: Ferroelectricity ( North-Holland, Amsterdam 1967 ) p. 11
W.J. Merz: Phys. Rev. 91, 513 (1953)
W. Känzig: In Solid State Physics, Vol. 4 ( Academic, New York 1957 ) p. 57
W. Känzig, R. Meier: Helv. Phys. Acta 21, 585 (1949)
W. Jantsch: In Dynamical Properties of IV-VI Compounds, Springer Tracts Mod. Phys., Vol.99 (Springer, Berlin, Heidelberg 1983 ) p. 1
L.D. Landau: Phys. Z. Sowjetunion 11, 26 (1937)
A.F. Devonshire: Phil. Mag. 40, 1040 (1949)
A.F. Devonshire: Phil. Mag. 42, 1065 (1951)
A.F. Devonshire: Adv. Phys. 3, 85 (1954)
H. Fröhlich: Theory of Dielectrics ( Clarendon, Oxford 1949 )
W. Cochran: Adv. Phys. 9, 387 (1960)
R. Blinc, B. Zeks: Soft Modes in Ferroelectrics and Antiferroelectrics ( North-Holland, Amsterdam 1974 )
C. Kittel: Introduction to Solid State Physics ( Wiley, New York 1967 )
C. Kittel: Phys. Rev. 82, 729 (1951)
A.A.Maradudin: In Ferroelectricity (Proc. Symp. on Ferroelectricity 1966), ed. by E.F. Weller ( Elsevier, Amsterdam 1967 ) p. 72
A.S. Barker, Jr., M. Tinkham: Phys. Rev. 125, 1527 (1962)
J. Petzelt, G.V. Kozlow, A.A. Volkov: Europhys. News 15, 1 (July 1984)
N.S. Gillis: Phys. Rev. B 5, 1925 (1972)
H. Thomas: In Structural Phase Transitions and Soft Modes, ed. by E.J. Samuelsen, E. Anderson, J. Feder ( Universitetsforlaget, Oslo 1971 ) p. 15
B.D. Silverman: Phys. Rev. 135A, 1596 (1964)
E. Pytte: Phys. Rev. 5, 3758 (1972)
J.F. Scott: Rev. Mod. Phys. 46, 83 (1974)
M.T. Yin, M.L. Cohen: Phys. Rev. B26, 3259 and 5668 (1982)
K. Kune, R.M. Martin: Phys. Rev. Lett. 48, 406 (1982)
L.L. Boyer: Ferroelectrics 35, 83 (1981)
W. Porod, P. Vogl: In Physics of Narrow Gap Semiconductors, ed. by E. Gornik, H. Heinrich, L. Palmetshofer ( Springer, Berlin, Heidelberg 1982 ) p. 247
W. Porod, P. Vogl, G. Bauer: J. Phys. Soc. J.n. 49, Suppl. A, 649 (1980)
R.P. Lowndes: Phys. Rev. B 6, 1490 (1972)
J.C. Slater: Phys. Rev. 78, 748 (1950)
V.M. Fridkin: Ferroelectric Semiconductors ( Consultants Bureau, New York 1980 )
R. Migoni, H. Bilz, D. Bäuerle: Phys. Rev. Lett. 37, 1155 (1976)
M. Balkanski, M.K. Teng, M. Massot, H. Bilz: Ferroelectrics 26, 737 (1980)
H. Bilz, H. Büttner, A. Bussmann-Holder, W. Kress, U. Schröder: Phys. Rev. Lett. 48, 264 (1982)
H. Bilz, A. Bussmann, G. Benedek, H. Büttner, D. Strauch: Ferroelectrics 25, 339 (1980)
P. Brüesch, M. Lietz: J. Phys. Chem. Solids 31, 1137 (1970)
A. Bussmann-Holder, H. Bilz, P. Vogl: In Dynamical Properties of IV-VI Com-pounds, Springer Tracts Mod. Phys., Vol.99 (Springer, Berlin, Heidelberg 1983 ) p. 74
A. Bussmann-Holder, H. Bilz, D. Bäuerle, D. Wagner: Z. Phys. B 41, 353 (1981)
G. Verstraeten: Z. Phys. B 43, 149 (1981)
Y. Luspin, J.L. Servoin, F. Gervais: J. Phys. C 13, 3761 (1980)
G. Burns: Phys. Lett. 43A, 271 (1973)
A. Scalabrin, A.S. Chaves, D.S. Shim, S.P.S. Porto: Phys. Stat. Sol. (b) 79, 731 (1977)
C.H. Perry, D.B. Hall: Phys. Rev. Lett. 15, 700 (1965)
W. Stirling: J. Phys. C5, 2711 (1972)
R.A. Cowley: Phys. Rev. Lett. 9, 159 (1962)
Y. Yamada, G. Shirane: J. Phys. Soc. Jpn. 26, 396 (1969)
R.A. Cowley, W.J.L. Buyers, G. Dolling: Solid State Commun. 7, 181 (1969)
G.V. Kozlov, A.A. Volkov, J.F. Scott, G.E. Feldkamp: Phys. Rev. B 28, 255 (1983)
E. Sandvold, E. Courtens: Phys. Rev. B 27, 5660 (1983)
G. Sorge, U. Straube: Phys. Stat. Sol. (a) 51, 117 (1979)
A. Levstik, C. Filipic, R. Blinc: Solid State Commun. 18, 1231 (1976)
H. Barrett: Phys. Rev. 86, 118 (1952)
G.A. Samara: Phys. Rev. Lett. 27, 103 (1971); Ferroelectrics 20, 87 (1978) and 22, 925 (1979)
D. Rytz, U.T. Höchli, H. Bilz: Phys. Rev. B 22, 359 (1980)
K.K. Kobayashi: J. Phys. Soc. Jpn. 24, 497 (1968)
T. Schneider, H. Beck, E. Stoll: Phys. Rev. B 13, 1123 (1976);
R. Oppermann, H. Thomas: Z. Phys. B 22, 387 (1975)
Recently, it has been suggested that Ta substitution by Nb leads to frequency-dependent susceptibilities reminiscent of an electric-dipole glass [G. Samara: Phys. Rev. Lett. 53, 298 (1984)]. This interpretation is currently being disputed; W. Kleemann, F. J. Schäfer, D. Rytz: Phys. Rev. Lett. 54, 2038 (1985)
D. Moy, R.C. Potter, A.C. Anderson: J. Low Temp. Phys. 52, 115 (1983), and references therein
J.J. v. d. Klink, D. Rytz, F. Borsa, U.T. Höchli: Phys. Rev. B 27, 89 (1983), and references therein
R.L. Prater, L.L. Chase, L.A. Boatner: Phys. Rev. B 23, 5904 (1981)
R. Shuker, W. Gammon: Phys. Rev. Lett. 25, 222 (1970)
U.T. Höchli: Phys. Rev. Lett. 48, 1494 (1982)
J. A. Mydosh: In Disordered Systems and Localization,Lecture Notes Phys., Vol. 149 (Springer, Heidelberg, Berlin 1981)
R.L. Prater, L.L. Chase, L.A. Boatner: Solid State Commun. 40, 697 (1981);
M. Dubus, B. Daudin, B. Salce, L.A. Boatner: Solit State Commun. 55, 759 (1985);
S.R. Andrews: J. Phys. C 18, 1357 (1985)
D. Sherrington, S. Kirkpatrick: Phys. Rev. Lett. 35, 1792 (1975)
H. Sompolinsky, A. Zippelius: Phys. Rev. B23, 6860 (1982)
J.D. Reger, K. Binder: Z. Phys. B60, 137 (1985)
A.S. Barker: In [Ref. 3.26, p.213]
R. Morf, T. Schneider, E. Stoll: Phys. Rev. B 16, 462 (1977)
P. Brüesch: Phonons: Theory and Experiments II, Springer Ser. Solid-State Sci., Vol. 65 ( Springer, Berlin, Heidelberg 1986 )
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Brüesch, P. (1987). Ferroelectricity. In: Phonons: Theory and Experiments III. Springer Series in Solid-State Sciences, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52271-0_3
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