Microscopic theory of the lattice dynamics and the nature of the ferroelectric instability in crystals

A brief review is given of model theories of the displacive structural instability in ferroelectrics. Particular attention is paid to the idea of compensation of the contributions of the short-range forces and the long-range internal field dipole forces to the square of the frequency of critical lattice vibrations. A vibronic theory of ferroelectricity is also discussed and its shortcomings are identified. A detailed analysis is made of the modern microscopic theory of lattice dynamics and exact expressions are derived for the force matrix governing the phonon spectrum of a crystal. The theory is discussed in the specific case of polar nonmetallic crystals. The example of semiconducting ferroelectrics from the group of IV--VI compounds is used to formulate rigorously the microscopic problem of the causes of the structural instability of such compounds on the basis of the exact expressions for the matrix of the force constants.

PACS: 77.80.Dj, 77.80.Bh, 77.84.−s, 77.22.−d (all)
DOI: 10.1070/PU1988v031n01ABEH001946
URL: https://ufn.ru/en/articles/1988/1/a/
Citation: Kvyatkovskii O E, Maksimov E G "Microscopic theory of the lattice dynamics and the nature of the ferroelectric instability in crystals" Sov. Phys. Usp. 31 1–26 (1988)

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Оригинал: Квятковский О Е, Максимов Е Г «Микроскопическая теория динамики решетки и природа сегнетоэлектрической неустойчивости в кристаллах» УФН 154 3–48 (1988); DOI: 10.3367/UFNr.0154.198801a.0003

References (135) Cited by (28) Similar articles (20) ↓

E.G. Maksimov, V.I. Zinenko, N.G. Zamkova “Ab initio calculations of the physical properties of ionic crystals” 47 1075–1099 (2004)
B.E. Vugmeister, M.D. Glinchuk “Cooperative phenomena in crystals containing off-center ions—dipole glass and ferroelectricity” 28 589–607 (1985)
E.G. Maksimov, A.E. Karakozov “On nonadiabatic effects in phonon spectra of metals” 51 535–549 (2008)
A.S. Mishchenko “Electron — phonon coupling in underdoped high-temperature superconductors” 52 1193–1212 (2009)
A.V. Eletskii, I.M. Iskandarova et al “Graphene: fabrication methods and thermophysical properties” 54 227–258 (2011)
R.S. Berry, B.M. Smirnov “Modeling of configurational transitions in atomic systems” 56 973–998 (2013)
A.P. Levanyuk, D.G. Sannikov “Improper ferroelectrics” 17 199–214 (1974)
V.N. Murzin, R.E. Pasynkov, S.P. Solov’ev “Ferroelectricity and crystal-lattice dynamics” 10 453–484 (1968)
T.V. Perevalov, V.A. Gritsenko “Application and electronic structure of high-permittivity dielectrics” 53 561–575 (2010)
B.M. Smirnov “Processes involving clusters and small particles in a buffer gas” 54 691–721 (2011)
E.Z. Kuchinskii, I.A. Nekrasov, M.V. Sadovskii “Generalized dynamical mean-field theory in the physics of strongly correlated systems” 55 325–355 (2012)
B.T. Geilikman “Adiabatic perturbation theory for metals and the problem of lattice stability” 18 190–202 (1975)
L.M. Blinov, L.A. Beresnev “Ferroelectric liquid crystals” 27 492–514 (1984)
A.S. Sonin “Lyotropic nematics” 30 875–896 (1987)
V.M. Rysakov “Acoustoelectronic instability in piezosemiconductors” 34 (12) 1027–1046 (1991)
M.P. Tonkonogov “Dielectric spectroscopy of hydrogen-bonded crystals, and proton relaxation” 41 25–48 (1998)
M.I. Klinger “Low-temperature properties and localized electronic states of glasses” 30 699–715 (1987)
E.G. Maksimov, O.A. Pankratov “Hydrogen in metals” 18 481–495 (1975)
A.F. Andreev, V.I. Marchenko “Symmetry and the macroscopic dynamics of magnetic materials” 23 21–34 (1980)
Yu.V. Gulyaev, V.P. Plesskii “Propagation of acoustic surface waves in periodic structures” 32 51–74 (1989)

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