Anharmonic Properties Near Structural Phase Transitions: An Update

Upon preparing these two lectures, I reread the manuscript on the two subjects I presented at the NATO Spring School in Norway in 1981 [1] (sometimes referred to as I hereafter). Having done this, I concluded that the context in which they were given and the presentation made were not only “still” really valid, but that possibly I could not even do better now. However, in the two intervening years which have elapsed since that NATO School, a number of new results have been published which have helped to round off the picture given then. Therefore, I decided to write an update, that is, to briefly comment on the status as it was in 1981 on a particular subject, and then to summarize what is new since then, or was forgotten at that time. If no new results have become available either theoretically or experimentally, I shall not refer to those subjects here. In so doing, I hope to keep the length of my update to that prescribed by the organizers of the Workshop.

[1]  M. Fontana,et al.  Soft ferroelectric mode in KNbO3 , 1981 .

[2]  M. Fisher,et al.  Critical Behavior of Magnets with Dipolar Interactions. I. Renormalization Group near Four Dimensions , 1973 .

[3]  W. Berlinger,et al.  Static Critical Exponents at Structural Phase Transitions , 1971 .

[4]  R. Nelmes,et al.  High-resolution studies of cubic perovskites by elastic neutron diffraction. II. SrTiO3, KMnF3, RbCaF3 and CsPbCl3 , 1981 .

[5]  S. Aubry.  A unified approach to the interpretation of displacive and order–disorder systems. I. Thermodynamical aspect , 1975 .

[6]  G. Burns,et al.  Lattice Modes in Ferroelectric Perovskites: PbTi O 3 , 1973 .

[7]  A. Bruce,et al.  Precursor order and Raman scattering near displacive phase transitions , 1980 .

[8]  T. Schneider,et al.  Molecular-dynamics study of structural-phase transitions. I. One-component displacement models , 1976 .

[9]  K. Müller,et al.  Displacive-order-disorder crossover at the ferroelectric-paraelectric phase transitions of BaTiO3 and LiTaO3 , 1982 .

[10]  G. Shirane,et al.  Critical Neutron Scattering in SrTi O 3 and KMn F 3 , 1972 .

[11]  K. Inoue,et al.  HYPER-RAMAN SCATTERING STUDY OF FERROELECTRIC PHASE TRANSITIONS IN SrTiO3 AND BaTiO3 , 1981 .

[12]  K. Müller,et al.  Neutron-scattering study of SrTiO3 under [111] uniaxial stress , 1978 .

[13]  A. Bruce.  The Theory of Structural Phase Transitions: Cluster Walls and Phonons , 1978 .

[14]  K. Müller.  Anharmonic Properties near Structural Phase Transitions , 1982 .

[15]  A. Bruce,et al.  Order-Disorder Behavior at Displacive Structural Phase Transitions , 1979 .

[16]  C. Ridou,et al.  Study of tetragonal domains in the cubic phase of RbCaF3 crystals by means of X-ray diffractometry , 1980 .

[17]  J. P. Remeika,et al.  Soft Ferroelectric Modes in Lead Titanate , 1970 .

[18]  F. Gervais,et al.  Soft mode spectroscopy in ABO3 ferroelectricss , 1981 .

[19]  P. Szépfalusy,et al.  Dynamic correlations below structural phase transitions in weakly anisotropic systems , 1981 .

[20]  J. R. Schrieffer,et al.  Dynamics and statistical mechanics of a one-dimensional model Hamiltonian for structural phase transitions , 1974 .

[21]  A. Aharony,et al.  Critical exponents of ferromagnets with dipolar interactions: Second-order ε expansion , 1974 .

[22]  F. Gervais,et al.  Soft mode spectroscopy in barium titanate , 1980 .

[23]  K. Müller.  Intrinsic and extrinsic central-peak properties near structural phase transitions , 1979 .

[24]  G. Burns,et al.  The index of refraction of BaTiO3 above Tc , 1981 .

[25]  R. Armstrong,et al.  New Evidence for the Formation of Dynamic Clusters at Temperatures in the Vicinity of a Structural Phase Transition , 1975 .

[26]  G. Burns,et al.  Index of refraction in ‘dirty’ displacive ferroelectrics☆ , 1973 .

[27]  J. P. Remeika,et al.  Classical behavior of the index of refraction in two ferroelectrics in the high-temperature phase , 1982 .

[28]  Alan R. Bishop,et al.  Solitons and Condensed Matter Physics , 1978 .

[29]  E. Stoll,et al.  Molecular-Dynamics Investigation of Structural Phase Transitions , 1973 .

[30]  Influence of cubic anisotropy in dipole-dipole interactions on structural phase transitions using the renormalization group transformation , 1981 .

[31]  H. Bock,et al.  The temperature dependence of the debye-waller-factor in barium titanate , 1981 .

[32]  Tormod Riste,et al.  Nonlinear Phenomena at Phase Transitions and Instabilities , 1982 .

[33]  M. Fontana,et al.  Persistence of tetragonal raman lines in cubic KNbO3 , 1983 .

[34]  P. A. Fleury,et al.  Phonon interactions and the dynamic central peak in SrTiO3 near the structural phase transition , 1977 .

[35]  H. Vogt,et al.  Soft-mode spectroscopy in cubic BaTi O 3 by hyper-Raman scattering , 1982 .

[36]  S. Aubry.  A unified approach to the interpretation of displacive and order–disorder systems. II. Displacive systems , 1976 .

[37]  R. Armstrong,et al.  A study of the chlorine nuclear quadrupole resonance frequency spectrum in potassium hexachloro-osmate by Fourier transform methods , 1980 .

[38]  E. Stoll,et al.  Properties of the one-particle-displacement probability distribution in systems undergoing antiferrodistortive structural phase transitions , 1974 .

[39]  A. Bulou,et al.  Lattice dynamics and debye-waller factor near the 195 K phase transition in RbCaF3 , 1982 .

[40]  E. F. Steigmeier,et al.  Dynamic critical behaviour at the structural phase transition in SrTiO3 , 1973 .