Vibronic (pseudo Jahn-Teller) theory of ferroelectricity: Novel aspects and applications

References

• F. Devonshire, Theory of ferroelectrics, Adv. Phys. 3 (10), 85 (1954).
   Web of Science ®Google Scholar
• V. L. Ginzburg, Zh. Eksp. Teor. Fiz. [Sov. Phys. JETP] 15, 739 (1945). 739; Fiz. Tverd. Tela [Sov. Phys. Solid State] 2, 2031 (1960).
   Google Scholar
• W. Cochran, Phys. Rev. Lett. 3, 412 (1959). Adv. Phys. 10, 40 (1961).
   Web of Science ®Google Scholar
• P. W. Anderson, In Fizika Dielectrikov, AN SSSR: Moscow, 1959, p. 290.
   Google Scholar
• L. Landau, and E. M. Lifshitz, Statistical Physics. Part I, 3rd ed., Butterworth- Heinemann, Oxford, UK, 1994, p. 446.
   Google Scholar
• M. E. Lines, and A. M. Glass, Principles and Applications of Ferroelectric and Related Materials, Clarendon, Oxford, 1977.
   Google Scholar
• G. A. Smolenskii et al., Ferroelectrics and Antiferroelectrics, Nauka, Leningrad, 1971.
   Google Scholar
• P. Ghosez, Microscopic Properties of Ferroelectric Oxides from First-Principles: Selected Topics. Part 1, Troisieme Cycle de la Physique en Suisse Romande, Lausanne, 2002.
   Google Scholar
• R. Blinc, Advanced Ferroelectricity, International Series of Monographs on Physics, Vol. 151, Oxford University Press, Oxford, 2011.
   Google Scholar
• H. D. Megaw, G. Solids. Crystal structure of barium titanium oxide and other double oxides of the perovskite type, Trans. Faraday Soc. 42, A224 (1946). ibid, A244.
   Google Scholar
• W. P. Mason, and B. T. Mattias, Phys. Rev. 74, 1662 (1948).
   Google Scholar
• S. Tinte, et al., Phys. Rev. B. 67, 064106 (2003).
   Web of Science ®Google Scholar
• N. Marzari, and D. Vanderbilt, AIP Conf. Proc. 436, 146 (1998).
   Google Scholar
• J. F. Scott, and C. A. P. Dearaujo, Ferroelectric memories, Science. 246 (4936), 1400 (1989).
   PubMed Web of Science ®Google Scholar
• J. Junquera, and P. Ghosez, Critical thickness for ferroelectricity in perovskite ultrathin films, Nature. 422 (6931), 506 (2003).
   PubMed Web of Science ®Google Scholar
• P. Ghozez, X. Gonze, and J. P. Michenaud, Ferroelectrics. 153, 91 (1994). 164, 113 (1995); Europhys. Lett. 194, 33 (1996).
   Google Scholar
• N. A. Hill, J. Phys. Chem. 104, 6694 (2000). N. A. Spaldin, and M. Fiebig, Science. 309, 391 (2005). S. W. Cheong, and M. Mostovoy, Nature Mater. 6, 13 (2007). R. Ramesh, and N. Spaldin, Nature Matter. 6, 21 (2007). S. Picozzi, and C. Ederer, J. Phys. Condens. Matter. 21, 303201 (2009). J. T. Heron et al., Phys. Rev. Lett. 107, 217202 (2011). P. Barone, and S. Picozzi, C. R. Physique. 16, 143 (2015). A. Stroppa, and S. Picozzi, Eur. Phys. J. B. 85, 240 (2012). J. M. Rondinelli, Aaron, S. Eidelson, Nicola et al., Phys. Rev. B. 79, 205119 (2009). P. Barone, S. Kanungo, S. Picozzi, and T. Saha- Dasgupta, Phys. Rev. B. 84, 134101 (2011). H. Sakai et al., Phys. Rev. Lett. 107, 137601 (2011).
   Web of Science ®Google Scholar
• K. F. Wang, J. M. Liu, and Z. F. Ren, Adv. Phys. 58, 321 (2009). M. Bibes, J. E. Villegas, and A. Barthelemy, Ultrathin oxide films and interfaces for electronics and spintronics. Adv. Phys. 60 (1), 5 (2011).
   Web of Science ®Google Scholar
• R. King-Smith, and D. Vanderbilt, Ferroelectrics. 136, 85 (1992). Phys. Rev. B. 49, 5828 (1994). W. Zhong, and D. Vanderbilt, Phys. Rev. Lett. 74, 2587 (1995).
   Web of Science ®Google Scholar
• R. E. Cohen, and H. Krakauer, Phys. Rev. B. 42, 6416 (1990). R. E. Cohen, Nature. 358, 136 (1992).
   PubMed Web of Science ®Google Scholar
• W. Zhong, D. Vanderbilt, and K. M. Rabe, First-principles theory of ferroelectric phase transitions for perovskites: The case of BaTiO3, Phys. Rev., B Condens. Matter. 52 (9), 6301 (1995). I).
   PubMed Web of Science ®Google Scholar
• P. Ghosez, et al., Lattice dynamics of BaTiO3, PbTiO3, and PbZrO3: A comparative first-principles study, Phys. Rev. B. 60 (2), 836 (1999).
   Web of Science ®Google Scholar
• G. Geneste, Phys. Rev. B. 79, 144104 (2009).
   Web of Science ®Google Scholar
• S. Y. Yan, et al., Electronic structures and ferroelectric instabilities of cubic AV O3 (A = Sr, Ba, and Pb) perovskites by first-principles calculations, J. Phys: Condens. Matter . 22 (12), 125501 (2010).
   PubMed Web of Science ®Google Scholar
• A. Roy, and D. Vanderbilt, Phys. Rev. B. 83, 134116 (2011).
   Web of Science ®Google Scholar
• M. A. Oak et al., 4d-5p orbital mixing and asymmetric In 4d-O 2p hybridization in InMnO3: a new bonding mechanism for hexagonal ferroelectricity, Phys. Rev. Lett. 106 (4), 047601 (2011).,
   PubMed Web of Science ®Google Scholar
• Levin, et al., Phys. Rev. B. 83, 094122 (2011).
   Web of Science ®Google Scholar
• S. Sanna et al., Phys. Rev. B. 83, 054112 (2011).
   Web of Science ®Google Scholar
• N. N. Kristoffel, and P. I. Konsin, In:, 11 (1973). Titanat Baria, Nauka, Moscow, 6, 3 (1973). P. Konsin, and N. Kristoffel, Electron – phonon theory of ferroelectricity and the isotope effect in perovskite oxides, Ferroelectrics. 226 (1), 95 (1999).
   Google Scholar
• Ya, G. Girshberg, and Y. Yacoby, Solid State Commun. 103, 425 (1997). J. Phys. Condens. Matter. 11, 9807 (1999). Ya, G. Girshberg, J. Phys. Condens. Matter. 13, 8817 (2001).
   Web of Science ®Google Scholar
• N. M. Plakida, and G. L. Mailyan, Fiz. Tverd. Tela. 19, 121 (1977). G. L. Mailyan, and N. M. Plakida, Fluctuations of order parameter and anharmonic interaction in the vibronic model of ferroelectrics, Phys. Stat. Sol. (b). 80 (2), 543 (1977).
   Google Scholar
• M. Posternak, R. Resta, and A. Baldereschi, Role of covalent bonding in the polarization of perovskite oxides: The case of KNbO3, Phys. Rev. B. 50 (12), 8911 (1994).
   Web of Science ®Google Scholar
• A. F. Devonshire, Proc. R. Soc. London, Sect. A. 153, 601 (1936). 1936).
   Google Scholar
• R. Comes, M. Lambert, and A. Guinner, Solid State Commun. 6, 715 (1968). 12, 1053 (1973); R. Comes et al., Ferroelectrics. 12, 3 (1976).
   Web of Science ®Google Scholar
• A letter states: “University of Paris…Orsay, January 23 [1969], …Dear Dr Bersuker, We just discovered your note “On the Origin of Ferroelectricity in Perovskite type Crystals” published in Physics Letters (1. April 1966). From a completely different approach we came to conclusions, which are similar to yours. You will find enclosed our publications on BaTiO3 and KNbO3… Sincerely Yours, R. Comes.”
   Google Scholar
• G. Burns, and F. Dacol, Ferroelectrics. 37, 661 (1981). Solid State Commun. 42, 9 (1982).
   Web of Science ®Google Scholar
• F. Gervais, Displacive - order-disorder crossover IFI ferroelectrics. Ferroelectrics. 53 (1), 91 (1984).
   Web of Science ®Google Scholar
• H. Ehses, H. Bock, and K. Fischer, The temperature dependence of the debye-waller-factor in barium titanate, Ferroelectrics. 37 (1), 507 (1981).
   Web of Science ®Google Scholar
• K. Itoh, et al., Crystal structure of BaTiO3 in the cubic phase, Ferroelectrics. 63 (1), 29 (1985).
   Web of Science ®Google Scholar
• K. A. Müller, and W. Berlinger, Phys. Rev. B. 34, 6130 (1986). K. A. Müller, W. Berlinger, K. W. Blazey, and J. Albers, Electron paramagnetic resonance of Mn4+ in BaTiO3, Solid State Commun. 61 (1), 21 (1987).
   Web of Science ®Google Scholar
• G. Volkel, and K. A. Müller, Phys. Rev. B. 76, 094105 (2007).
   Web of Science ®Google Scholar
• O. Hanske-Petitpierre et al., Phys. Rev. B. 44, 6700 (1992); N. Sicron et al., Nature of the ferroelectric phase transition in PbTiO3, Phys. Rev. B. 50 (18), 13168 (1994).
   Google Scholar
• B. Ravel, et al., Local structure and the phase transitions of BaTiO3, Ferroelectrics. 206 (1), 407 (1998).
   Web of Science ®Google Scholar
• E. Stern, Character of order-disorder and displacive components in barium titanate, Phys. Rev. Lett. 93 (3), 037601 (2004).
   PubMed Web of Science ®Google Scholar
• T. P. Dougherty et al., Femtosecond resolution of soft mode dynamics in structural phase transitions, Science. 258 (5083), 770 (1992).
   PubMed Web of Science ®Google Scholar
• B. Zalar, V. V. Laguta, and R. Blinc, Phys. Rev. Lett. 90, 037601 (2003). B. Zalar, et al., Phys. Rev. B. 71, 064107 (2005).
   PubMed Web of Science ®Google Scholar
• R. Blinc, et al., Order-disorder component in the phase transition mechanism of 18O enriched strontium titanate, Phys. Rev. Lett. 94 (14), 147601 (2005).
   PubMed Web of Science ®Google Scholar
• I. K. Jeong et al., Phys. Rev. B. 84, 064125 (2011).
   Web of Science ®Google Scholar
• A. Bussman-Holder, H. Beige, and G. Volkel, Phys. Rev. B. 79, 184111 (2009).
   Web of Science ®Google Scholar
• S. Bhattacharjee, E. Bousquet, and P. Ghosez, Engineering multiferroism in CaMnO3, Phys. Rev. Lett. 102(11), 117602 (2009).
   PubMed Web of Science ®Google Scholar
• C. Ederer, T. Harris, and R. Kovacik, Phys. Rev. B. 83, 054110 (2011).
   Web of Science ®Google Scholar
• B. Bersuker, On the origin of ferroelectricity in perovskite-type crystals, Phys. Lett. 20 (6), 589 (1966).
   Web of Science ®Google Scholar
• (a) I. B. Bersuker, and B. G. Vekhter, Fiz. Tverd. Tela [Sov. Phys. Solid State]. 9, 2452 (1967). Ferroelectrics. 19, 137 (1978). I. B. Bersuker, Ferroelectrics. 164, 75 (1995). (b)I. B. Bersuker, B. G. Vekhter, and A. A. Muzalevskii, Ferroelectrics. 6, 197 (1974). (c) I. B. Bersuker, N. N. Gorinchoy, and T. A. Fedorco, Ferroelectrics. 153, 1 (1994). (d) I. B. Bersuker, J. Phys. Conf. Series. 428, 012028 (2013).
   Google Scholar
• V. Z. Polinger, Ferroelectric phase transitions in cubic perovskites, J. Phys: Conf. Ser. 428, 012026 (2013).
   Google Scholar
• V. Z. Polinger, P. Garcia-Fernandez, and I. B. Bersuker, Pseudo Jahn–Teller origin of ferroelectric instability in BaTiO3 type perovskites: The Green's function approach and beyond, Physica B. Condens. Mater. 457, 296 (2015).
   Web of Science ®Google Scholar
• B. Bersuker, N. N. Gorinchoy, and V. Z. Polinger, Theor. Chim. Acta. 66, 161 (1984). I. B. Bersuker, Fiz. Tverd. Tela [Sov. Phys. Solid State]. 30, 1738 (1988). Nouv. J. Chim., 4, 139-145 (1980); Teor. Eksp. Khim. 16, 291 (1980).
   Google Scholar
• B. Bersuker, et al., Pseudo Jahn–Teller origin of instability of molecular high-symmetry configurations: Novel numerical method and results, J. Chem. Phys. 117 (23), 10478 (2002).
   Web of Science ®Google Scholar
• B. Bersuker, and V. Z. Polinger, Vibronic Interactions in Molecules and Crystals, Springer-Verlag, Berlin-Heidelberg, 1989.
   Google Scholar
• B. Bersuker, The Jahn-Teller Effect, Cambridge University Press, Cambridge UK, 2006.
   Google Scholar
• B. Bersuker, Pseudo-Jahn-teller effect-a two-state paradigm in formation, deformation, and transformation of molecular systems and solids, Chem. Rev. 113(3), 1351 (2013).
   PubMed Web of Science ®Google Scholar
• B. Bersuker, Spontaneous Symmetry Breaking in Matter Induced by Degeneracy and Pseudodegeneracy, in Advances in Chemical Physics, Vol. 160, S. Rice and R. Dinner, eds., Wiley, New York, 2016, pp159–208.
   Google Scholar
• B. Bersuker, Electronic Structure and Properties of Transition Metal Compounds. Introduction to the Theory, 2nd ed., Wiley, New York, 2010.
   Google Scholar
• M. Ziman, Elements of Advanced Quantum Theory, Cambridge University Press, Cambridge UK, 1975, pp. 120–134.
   Google Scholar
• H. Van Vleck, Phys. Rev. 57, 426 (1940).
   Google Scholar
• Y. Yamada, and Y. Kanemitsu, Photoluminescence spectra of perovskite oxide semiconductors. J. Luminesc. 133, 30 (2013).
   Web of Science ®Google Scholar
• H. Kwei, et al., Structures of the ferroelectric phases of barium titanate, J. Phys. Chem. 97 (10), 2368 (1993).
   Web of Science ®Google Scholar
• V. Polinger, Adv. Quantum Chem. 44, 59 (2003).
   Web of Science ®Google Scholar
• B. Bersuker, Pseudo Jahn-Teller origin of perovskite multiferroics, magnetic-ferroelectric crossover, and magnetoelectric effects: the d0-d10 problem, Phys. Rev. Lett. 108 (13), 137202 (2012).
   PubMed Web of Science ®Google Scholar
• N. Marzari et al., Maximally localized Wannier functions: Theory and applications, Rev. Mod. Phys. 84 (4), 1419 (2012).
   Web of Science ®Google Scholar
• S. J. A. van Gisbergen, J. G. Snijders, and E. J. Baerends, Implementation of time-dependent density functional response equations, Comput. Phys. Commun. 118 (2–3), 119 (1999).
   Web of Science ®Google Scholar
• T. Bredow, P. Heitjans, and M. Wilkening, Phys. Rev. B. 70, 115111 (2004). F. Corà, Mol. Phys. 103, 2483 (2005). M. P. Habas, R. Dovesi, and A. Lichanot, J. Phys. Condens. Matter. 10, 6897 (1998).
   Web of Science ®Google Scholar
• H. J. Monkhorst, and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B. 13(12), 5188 (1976).
   Web of Science ®Google Scholar
• R. Dovesi et al., 220, 571 (2005)., Z. Kristallogr.
   Web of Science ®Google Scholar
• P. Gütlich and H. A. Goodwin, eds., Spin Crossover in Transition Metal Compounds, Springer-Verlag, Berlin, Heidelberg, 2004, vol. I, II, and III.
   Google Scholar
• A. Hauser et al., Low-temperature lifetimes of metastable high-spin states in spin-crossover and in low-spin iron(II) compounds: The rule and exceptions to the rule, Coord. Chem. Rev. 250 (13–14), 1642 (2006).
   Web of Science ®Google Scholar
• N. E. Domracheva, et al., Detailed EPR study of spin crossover dendrimeric iron(III) complex. J Phys Chem B. 117 (25), 7833 (2013).
   PubMed Web of Science ®Google Scholar
• O. Raymond et al., Multiferroic properties and magnetoelectric coupling in highly textured Pb(Fe0.5Nb0.5)O3 thin films obtained by RF sputtering, Acta Mater. 66, 184 (2014).
   Web of Science ®Google Scholar
• L. Weston, X. Y. Cui, S. P. Ringer, and C. Stampfl, Bistable magnetism and potential for voltage-induced spin crossover in dilute magnetic ferroelectrics, Phys. Rev. Lett. 114 (24), 247601 (2015).
   PubMed Web of Science ®Google Scholar
• L. Weston, et al., Phys. Rev. B. 93, 165210 (2016).
   Web of Science ®Google Scholar
• L. Weston, et al., Phys. Rev. B. 94, 184419 (2016).
   Web of Science ®Google Scholar
• I. B. Bersuker, Sov. Phys.-JETP 16, 933 (1963).
   Google Scholar
• M. Gomez, S. P. Bowen, and J. A. Krumhans, Physical properties of an off-center impurity in the tunneling approximation. I. Statics, Phys. Rev. 153 (3), 1009 (1967).
   Web of Science ®Google Scholar
• I. B. Bersuker, Pseudo Jahn–Teller effect in the origin of enhanced flexoelectricity. Appl. Phys. Lett. 106(2), 022903 (2015).
   Web of Science ®Google Scholar
• I. B. Bersuker, Giant permittivity and electrostriction induced by dynamic Jahn-Teller and pseudo Jahn-Teller effects, Appl. Phys. Lett. 107 (20), 202904 (2015).
   Web of Science ®Google Scholar
• V. Z. Polinger, and I. B. Bersuker, Pseudo Jahn-Teller effect in permittivity of ferroelectric perovskites, J. Phys: Conf. Ser. 833, 012012 (2017).
   Google Scholar
• I. B. Bersuker, The Jahn-Teller and pseudo Jahn-Teller effect in materials science, J. Phys: Conf. Ser. 833, 012001 (2017).
   Google Scholar
• S. M. Kogan, Sov. Phys. Solid State. 5, 2069 (1964).
   Web of Science ®Google Scholar
• P. Zubko, G. Catalan, and A. K. Tagantsev, Flexoelectric effect in solids, Annu. Rev. Mater. Res. 43(1), 387 (2013).
   Web of Science ®Google Scholar
• W. Ma, Phys. Status Solid. B. 247, 213 (2010). W. Ma, and L. E. Cross, Appl. Phys. Lett. 79, 4420 (2001). 81, 3440 (2002); 88, 232902 (2006).
   Web of Science ®Google Scholar
• T. H. Nguyen et al., Nanoscale flexoelectricity. Adv. Mater. Weinheim. 25(7), 946 (2013).
   PubMed Web of Science ®Google Scholar
• P. V. Yudin, R. Ahluwalia, and A. K. Tagantsev, Appl. Phys. Lett. 104, 082913 (2014).
   Web of Science ®Google Scholar
• A. Biancoli, et al., Breaking of macroscopic centric symmetry in paraelectric phases of ferroelectric materials and implications for flexoelectricity, Nat. Mater. 14 (2), 224 (2015).
   PubMed Web of Science ®Google Scholar
• R. Maranganti, N. D. Sharma, and P. Sharma, Phys. Rev. B. 74, 014110 (2006).
   Web of Science ®Google Scholar
• J. Narvaez, and G. Catalan, Origin of the enhanced flexoelectricity of relaxor ferroelectrics. Appl. Phys. Lett. 104 (16), 162903 (2014).
   Web of Science ®Google Scholar
• Y. Li et al., Enhanced flexoelectric effect in a non-ferroelectric composite. Appl. Phys. Lett. 103 (14), 142909 (2013).
   Web of Science ®Google Scholar
• J. Hong, et al., The flexoelectricity of barium and strontium titanates from first principles, J Phys Condens Matter. 22 (11), 112201 (2010).
   PubMed Web of Science ®Google Scholar
• J. Hong, and D. Vanderbilt, Phys. Rev. B. 88, 174107 (2013).
   Web of Science ®Google Scholar
• F. Chen et al., Phys. Rev. B. 94, 180104 (2016).
   Web of Science ®Google Scholar
• K. Wieczorek et al., Electrostrictive and piezoelectric effect in BaTiO3 and PbZrO3. Ferroelectrics. 336 (1), 61 (2006).
   Web of Science ®Google Scholar
• S. Wada et al., Origin of ultrahigh dielectric constants for barium titanate nanoparticles. J. Korean Phys. Soc. 51 (92), 878 (2007).
   Web of Science ®Google Scholar
• A. Kumar Kalyani et al., Anatoliy Senyshyn and Rajeev Ranjan, Phys. Rev. B 91, 104104 (2015).
   Google Scholar
• E. Burcsu, G. Ravichandran, and K. Bhattacharya, Large strain electrostrictive actuation in barium titanate. Appl. Phys. Lett. 77(11), 1698 (2000).
   Web of Science ®Google Scholar
• Z. Surowiak, E. G. Fesenko, and R. Skulski, Arch. Acoust. 24, 391 (1999).
   Google Scholar
• P. Hohenberg, and W. Kohn, Phys. Rev. B. 136, 864 (1964).
   Web of Science ®Google Scholar
• M. Levy, Proc. Nat. Acad. Sci. USA, 7. 6062 (1979). and Phys. Rev. A. 2. 1200 (1982). E. Lieb, Int. J. Quantum Chem. 4, 243 (1983).
   Web of Science ®Google Scholar
• E. S. Kryachko, and E. V. Ludena, Energy Density Functional Theory of Many-Electron Systems, Dordrecht: Kluwer, 1990.
   Google Scholar
• H. S. Yu, S. L. Li, and D. G. Truhlar, Perspective: Kohn-Sham density functional theory descending a staircase, J. Chem. Phys. 145 (13), 130901 (2016).
   PubMed Web of Science ®Google Scholar
• J. Erhard, P. Bleiziffer, and A. Görling, Power series approximation for the correlation kernel leading to Kohn-Sham methods combining accuracy, computational efficiency, and general applicability, Phys. Rev. Lett. 117 (14), 143002 (2016).
   PubMed Web of Science ®Google Scholar
• R. van Leeuwen, and E. K. U. Gross, Multicomponent Density-Functional Theory, in Time Dependent Density Functional Theory, Lecture Notes in Physics, Berlin, Springer, 2006, vol. 706, pp. 93–106.
   Google Scholar
• P. Garcia-Fernandez, et al., Phys. Rev. B. 93, 195137 (2016).
   Web of Science ®Google Scholar
• I. B. Bersuker, J. Comput. Chem. 18 (2), 260 (1997).
   Web of Science ®Google Scholar
• A. F. Devonshire, XCVI. Theory of barium titanate. Phil. Mag. 40 (309), 1040 (1949).
   Google Scholar
• D. Hou et al., Temperature-induced local and average structural changes in BaTiO3 − x Bi (Zn1/2Ti1/2)O3 solid solutions: The origin of high temperature dielectric permittivity. J. Appl. Phys. 122 (6), 064103 (2017).
   Web of Science ®Google Scholar
• M. Bugnet et al., Phys. Rev. B. 93, 020102 r) (2016).
   Web of Science ®Google Scholar
• G. Henning Olsen et al., Phys. Rev. B. 93, 180101(r) (2016).
   Web of Science ®Google Scholar
• V. Z. Polinger, Off-center instability of Nb5+ in KNbO3 under ambient pressure. Chem. Phys. 459, 72 (2015).
   Web of Science ®Google Scholar
• T. G¨unter et al., Phys. Rev. B. 85, 214120 (2012).
   Web of Science ®Google Scholar
• H. Sakai et al., Displacement-type ferroelectricity with off-center magnetic ions in perovskite Sr(1-x)Ba(x)MnO3, Phys. Rev. Lett. 107 (13), 137601 (2011).
   PubMed Web of Science ®Google Scholar
• S. Anwar, P. R. Sagdeo, and N. P. Lalla, Crossover from classical to relaxor ferroelectrics in BaTi1−xHfxO3 ceramics, J. Phys: Condens. Matter. 18 (13), 3455 (2006).
   Web of Science ®Google Scholar
• S. Liu, et al., Phys. Rev. B. 88, 104102 (2013).
   Web of Science ®Google Scholar
• K. Nishimura et al., High-pressure synthesis of BaVO3: A new cubic perovskite, J. Phys. Chem. Solids. 75(6), 710 (2014).
   Web of Science ®Google Scholar
• W. J. A. Maaskant, and I. B. Bersuker, A combined Jahn-Teller and pseudo-Jahn-Teller effect: an exactly solvable model. J. Phys: Condens. Matter . 3(1), 37 (1991).
   Web of Science ®Google Scholar
• S. Guang, and Z. Weiyi, Phys. Rev. B. 94, 064409 (2016).
   Web of Science ®Google Scholar
• J. Hlinka et al., Phys. Rev. B. 94, 180104(R) (2016).
   Web of Science ®Google Scholar
• V. Mishra et al., Electronic and optical properties of BaTiO3 across tetragonal to cubic phase transition: An experimental and theoretical investigation, J. Appl. Phys. 122 (6), 065105 (2017).,
   Web of Science ®Google Scholar
• M. S. Senn et al., Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions. Phys. Rev. Lett. 116 (20), 207602 (2016).,
   PubMed Web of Science ®Google Scholar
• J. Harada, J. D. Axe, and G. Shirane, Neutron-Scattering Study of Soft Modes in Cubic BaTi O3. Phys. Rev. B. 4 (1), 155 (1971).
   Web of Science ®Google Scholar
• Y. Luspin, J. L. Servoin, and F. Gervais, Soft mode spectroscopy in barium titanate. J. Phys. C: Solid State Phys. 13 (19), 3761 (1980).
   Web of Science ®Google Scholar
• H. Vogt, J. A. Sanjurjo, and G. Rossbroich, Soft-mode spectroscopy in cubic BaTiO3 by hyper-Raman scattering. Phys. Rev. B. 26 (10), 5904 (1982).
   Web of Science ®Google Scholar
• A. Pramanick et al., Phys. Rev. B. 92, 174103 (2015).
   Web of Science ®Google Scholar
• K. Jae-Hyeon et al., Phys. Rev. B 84, 094123 (2011). M. A. Helal, M. Aftabuzzaman, S. Tsukada, and S. Kojima, Sci. Rep. 7, 44448 (2017).
   Web of Science ®Google Scholar
• B. Cai et al., Phys. Rev. B. 93, 224107 (2016).
   Web of Science ®Google Scholar
• H. Tian et al., 13751 (2015). P. Tan et al., Field-driven electro-optic dynamics of polar nanoregions in nanodisordered KTa1−xNbx O3 crystal. Appl. Phys. Lett. 111 (1), 012903 (2017).,
   Web of Science ®Google Scholar
• T. Kenji, S. Rikiya, and T. Michiyoshi, Phys. Rev. B. 86, 214106 (2012).
   Web of Science ®Google Scholar
• A. A. Bokov, and Z.-G. Ye, Recent progress in relaxor ferroelectrics with perovskite structure. J. Mater. Sci. 41 (1), 31 (2006).
   Web of Science ®Google Scholar
• R. A. Cowley et al., Relaxing with relaxors: a review of relaxor ferroelectrics. Adv. Phys. 60(2), 229 (2011).
   Web of Science ®Google Scholar
• I. B. Bersuker, and V. Z. Polinger, in 24th International Symposium on the Jahn-Teller Effect, Book of Abstracts, Cantabria University, 2018, pp. 30 and 46; Phys. Rev. B, submitted.
   Google Scholar