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Ferroelectrics Volume 124, 1991 - Issue 1
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Section 3: Phases transitions (including incommensurate and ferroelastic)

Order parameter saturation at low temperatures -numerical results for displacive and O/D systems

E. Salje Department of Earth Sciences, Downing Street, Cambridge, CB2 3EQ; Interdisciplinary Research Centre in Superconductivity, Madingley Road, Cambridge, CB3 OHE
,
B. Wruck Department of Earth Sciences, Downing Street, Cambridge, CB2 3EQ
&
S. Marais Cavendish Laboratory, Madingley Road, Cambridge, CB3 OHE
Pages 185-188 | Published online: 10 Feb 2011

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Seiji Kojima & M. Maczka. (2018) Raman inactive phonon-polariton dispersion in quantum paraelectric SrTiO3 crystals studied by FTIR. Ferroelectrics 524:1, pages 1-8.
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Ekhard Salje & Huali Zhang. (2009) Domain boundary engineering. Phase Transitions 82:6, pages 452-469.
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Hiroki Taniguchi, Toshirou Yagi & Mitsuru Itoh. (2008) Dynamics of the Ferroelectric Phase Transition in 18O-exchanged SrTiO3 Studied by Raman Scattering. Ferroelectrics 369:1, pages 3-9.
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C.L. Wang, Y.X. Wang, R.A. Ali, J.L. Jiang & W.L. Zhong. (2005) Dielectric Response in Ferroelectrics with Large Zero Point Energy at Low Temperature. Ferroelectrics 323:1, pages 45-48.
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C. ARAGÓ, J. GARCÍA, J.A. GONZALO, C.L. WANG, W.L. ZHONG & X.Y. XUE. (2004) Influence of Quantum Zero Point Energy on the Ferroelectric Behavior of Isomorphous Systems. Ferroelectrics 301:1, pages 113-119.
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J.M. Pérez-Mato & E. K. H. Salje. (2001) Order-parameter saturation at low temperatures: Displacive phase transitions with coupled Einstein oscillators. Philosophical Magazine Letters 81:12, pages 885-891.
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H. Boysen & M. Lerch. (1996) Order parameter coupling and Debye-Waller factor at the phase transition in NiTiO3 . Phase Transitions 59:1-3, pages 1-24.
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E.K. H. Salje & S. Marais. (1992) On the correlation between local potentials and the thermodynamic/kinetic behaviour of ferroelectrics. Ferroelectrics 136:1, pages 1-13.
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A. Tröster, J. Pils, F. Bruckner, I. Rychetsky, C. Verdi & W. Schranz. (2023) Hard antiphase domain boundaries in strontium titanate: A comparison of Landau-Ginzburg-Devonshire and ab initio results . Physical Review B 108:14.
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C. A. M. dos Santos, F. S. Oliveira, M. S. da Luz & J. J. Neumeier. (2021) On the Order Parameter of the Continuous Phase Transition in the Classical and Quantum Mechanical Limits. Brazilian Journal of Physics 51:6, pages 1529-1538.
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I. Zamaraite, V. Liubachko, R. Yevych, A. Oleaga, A. Salazar, A. Dziaugys, J. Banys & Yu. Vysochanskii. (2020) Quantum paraelectric state and critical behavior in Sn(Pb)2P2S(Se)6 ferroelectrics. Journal of Applied Physics 128:23.
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Sean Injac, Elena Solana-Madruga, Maxim Avdeev, Helen E. A. Brand, J. Paul Attfield & Brendan J. Kennedy. (2020) Studies of the 4d and 5d 6H perovskites Ba 3 BM 2 O 9 , B = Ti, Zn, Y; M = Ru, Os, and cubic BaB 1/3 Ru 2/3 O 3 polymorphs stabilised under high pressure . Dalton Transactions 49:35, pages 12222-12233.
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D. Belmonte, G. Ottonello & M. Vetuschi Zuccolini. (2017) Ab initio-assisted assessment of the CaO-SiO2 system under pressure. Calphad 59, pages 12-30.
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Ekhard K. H. Salje & Xiandong Ding. 2017. Avalanches in Functional Materials and Geophysics. Avalanches in Functional Materials and Geophysics 137 156 .
E K H Salje. (2015) Friction in ferroelastic and martensitic materials. Journal of Physics: Conference Series 602, pages 012018.
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Marc Blanchard, Etienne Balan, Paola Giura, Keevin Béneut, Haohao Yi, Guillaume Morin, Carlos Pinilla, Michele Lazzeri & Andrea Floris. (2013) Infrared spectroscopic properties of goethite: anharmonic broadening, long-range electrostatic effects and Al substitution. Physics and Chemistry of Minerals 41:4, pages 289-302.
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S E Mkam Tchouobiap. (2014) A theoretical study of soft mode behavior and ferroelectric phase transition in 18 O-isotope exchanged SrTiO 3 : evidence of phase coexistence at the quantum critical point . Physica Scripta 89:2, pages 025702.
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Jong Yeog Son, Jung-Hoon Lee & Hyun Myung Jang. (2013) Room-temperature ferroelectricity in SrTiO3 nanodots array formed by an ac -bias field . Applied Physics Letters 103:10.
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Jason Schiemer, Daniel O’Flynn, Geetha Balakrishnan & Michael A. Carpenter. (2013) Strain coupling in multiferroic phase transitions of samarium yttrium manganite Sm Y MnO . Physical Review B 88:5.
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C. Beekman, I. Komissarov & J. Aarts. (2012) Large electric-field effects on the resistance of La Ca MnO microstructures . Physical Review B 85:24.
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Simon Delattre, Etienne Balan, Michele Lazzeri, Marc Blanchard, Maxime Guillaumet, Olivier Beyssac, Eiken Haussühl, Björn Winkler, Ekhard K. H. Salje & Georges Calas. (2011) Experimental and theoretical study of the vibrational properties of diaspore (α-AlOOH). Physics and Chemistry of Minerals 39:2, pages 93-102.
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S A T Redfern, C-J Chen, J Kung, O Chaix-Pluchery, J Kreisel & E K H Salje. (2011) Raman spectroscopy of CaSnO 3 at high temperature: a highly quasi-harmonic perovskite . Journal of Physics: Condensed Matter 23:42, pages 425401.
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Hai-Yao Deng. (2011) Quantum paraelectricity: The tunneling between excited levels. Physics Letters A 375:34, pages 3100-3102.
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E K H Salje, M Guennou, P Bouvier, M A Carpenter & J Kreisel. (2011) High pressure ferroelastic phase transition in SrTiO 3 . Journal of Physics: Condensed Matter 23:27, pages 275901.
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C. L. WANG & M. L. ZHAO. (2012) BURNS TEMPERATURE AND QUANTUM TEMPERATURE SCALE. Journal of Advanced Dielectrics 01:02, pages 163-167.
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S E Mkam Tchouobiap & H Mashiyama. (2011) Thermodynamic properties of a quasi-harmonic model for ferroelectric transitions. Journal of Physics: Condensed Matter 23:12, pages 125902.
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E K H Salje & M A Carpenter. (2011) Thermally activated proton hopping in lawsonite, the ferroelectric transition at 125 K, and the co-elastic phase transition at 270 K. Journal of Physics: Condensed Matter 23:11, pages 112208.
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Etienne Balan, Simon Delattre, Damien Roche, Loïc Segalen, Guillaume Morin, Maxime Guillaumet, Marc Blanchard, Michele Lazzeri, Christian Brouder & Ekhard K. H. Salje. (2010) Line-broadening effects in the powder infrared spectrum of apatite. Physics and Chemistry of Minerals 38:2, pages 111-122.
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Ekhard K. H. Salje & Wilfried Schranz. (2011) Low amplitude, low frequency elastic measurements using Dynamic Mechanical Analyzer (DMA) spectroscopy. Zeitschrift für Kristallographie 226:1, pages 1-17.
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J. J. Wang, P. P. Wu, X. Q. Ma & L. Q. Chen. (2010) Temperature-pressure phase diagram and ferroelectric properties of BaTiO3 single crystal based on a modified Landau potential. Journal of Applied Physics 108:11.
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E. K. H. Salje, D. J. Safarik, K. A. Modic, J. E. Gubernatis, J. C. Cooley, R. D. Taylor, B. Mihaila, A. Saxena, T. Lookman, J. L. Smith, R. A. Fisher, M. Pasternak, C. P. Opeil, T. Siegrist, P. B. Littlewood & J. C. Lashley. (2010) Tin telluride: A weakly co-elastic metal. Physical Review B 82:18.
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E. K. H. Salje, J. Koppensteiner, W. Schranz & E. Fritsch. (2018) Elastic instabilities in dry, mesoporous minerals and their relevance to geological applications. Mineralogical Magazine 74:2, pages 341-350.
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Michael A. Carpenter, Ruth E. A. McKnight, Christopher J. Howard, Qingdi Zhou, Brendan J. Kennedy & Kevin S. Knight. (2009) Characteristic length scale for strain fields around impurity cations in perovskites. Physical Review B 80:21.
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Ekhard K H Salje, Huali Zhang, Antoni Planes & Xavier Moya. (2008) Martensitic transformation B2–R in Ni–Ti–Fe: experimental determination of the Landau potential and quantum saturation of the order parameter. Journal of Physics: Condensed Matter 20:27, pages 275216.
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S E Mkam Tchouobiap & H Mashiyama. (2008) Quasiharmonic model for ferroelectric transition in 18 O-isotope exchanged SrTiO 3 . Journal of Physics: Condensed Matter 20:5, pages 055223.
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H Zhang, E K H Salje, D Schryvers & B Bartova. (2008) The martensitic phase transition in Ni–Al: experimental observation of excess entropy and heterogeneous spontaneous strain. Journal of Physics: Condensed Matter 20:5, pages 055220.
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Fernando Cámara, Roberta Oberti & Nicola Casati. (2008) The P 2 1 / m ↔ C 2/ m phase transition in amphiboles: new data on synthetic Na(NaMg)Mg 5 Si 8 O 22 F 2 and the role of differential polyhedral expansion . Zeitschrift für Kristallographie - Crystalline Materials 223:1-2, pages 148-159.
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Christopher J. Howard, Zhaoming Zhang, Michael A. Carpenter & Kevin S. Knight. (2007) Suppression of strain coupling in perovskite by cation disorder . Physical Review B 76:5.
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Hiroki Taniguchi, Mitsuru Itoh & Toshirou Yagi. (2007) Ideal Soft Mode-Type Quantum Phase Transition and Phase Coexistence at Quantum Critical Point in -Exchanged . Physical Review Letters 99:1.
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S. E. Mkam Tchouobiap & H. Mashiyama. (2007) Quasiharmonic approximation for a double Morse-type local potential model: Application to a -type phase diagram . Physical Review B 76:1.
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E. K. H. Salje, H. Zhang, D. Schryvers & B. Bartova. (2007) Quantitative Landau potentials for the martensitic transformation in Ni–Al. Applied Physics Letters 90:22.
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Stuart A Hayward, Finlay D Morrison & James F Scott. (2005) Interaction between quantum paraelectricity and ferroelasticity in SrTiO 3 . Journal of Physics: Condensed Matter 17:43, pages 7009-7022.
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Manuel I. Marqués, Carmen Aragó & Julio A. Gonzalo. (2005) Quantum paraelectric behavior of : Relevance of the structural phase transition temperature . Physical Review B 72:9.
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Michael A. Carpenter, Christopher J. Howard, Brendan J. Kennedy & Kevin S. Knight. (2005) Strain mechanism for order-parameter coupling through successive phase transitions in . Physical Review B 72:2.
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S E Mkam Tchouobiap, C M Ngabireng & T C Kofané. (2005) Effects of Quantum Fluctuations and Deformability Parameter on Structural Phase Transitions for Ferroelectric Materials with Deformable Double-Well Potentials. Physica Scripta 71:6, pages 668-679.
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J. F. Scott, A. Q. Jiang, S. A. T. Redfern, Ming Zhang & M. Dawber. (2003) Infrared spectra and second-harmonic generation in barium strontium titanate and lead zirconate-titanate thin films: “Polaron” artifacts. Journal of Applied Physics 94:5, pages 3333-3344.
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M. Yuan, C.L. Wang, Y.X. Wang, R. Ali & J.L. Zhang. (2003) Effect of zero-point energy on the dielectric behavior of strontium titanate. Solid State Communications 127:6, pages 419-421.
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F J Romero & E K H Salje. (2003) Quantum saturation of the order parameter and the dynamical soft mode in quartz. Journal of Physics: Condensed Matter 15:2, pages 315-320.
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C.L Wang, J Garcia, C Aragó, J.A Gonzalo & M.I Marqués. (2002) Monte Carlo simulation of quantum effects in ferroelectric phase transitions with increasing zero point energy. Physica A: Statistical Mechanics and its Applications 312:1-2, pages 181-186.
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C.L. Wang, C. Arago, J. Garcia & J.A. Gonzalo. (2002) Quantum tunneling versus zero-point energy in double-well potential model for ferrroelectric phase transitions. Physica A: Statistical Mechanics and its Applications 308:1-4, pages 337-345.
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J M Pérez-Mato & E K H Salje. (2000) Quantum fluctuations of order parameters in structural phase transitions and the pressure dependence of transition temperatures. Journal of Physics: Condensed Matter 12:3, pages L29-L34.
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W. Kleemann, J. Dec & B. Westwański. (1998) Susceptibility scaling behavior of quantum paraelectric . Physical Review B 58:14, pages 8985-8990.
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H Hünnefeld, U Rütt, J R Schneider & S Kapphan. (1998) The spontaneous strain in in the quantum paraelectric regime: the dependence on sample preparation. Journal of Physics: Condensed Matter 10:28, pages 6453-6459.
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E K H Salje, M C Gallardo, J Jiménez, F J Romero & J del Cerro. (1998) The cubic-tetragonal phase transition in strontium titanate: excess specific heat measurements and evidence for a near-tricritical, mean field type transition mechanism. Journal of Physics: Condensed Matter 10:25, pages 5535-5543.
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Jutta Chrosch & Ekhard K H Salje. (1998) Near-surface domain structures in uniaxially stressed. Journal of Physics: Condensed Matter 10:13, pages 2817-2827.
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J. Dec & W. Kleemann. (1998) From barrett to generalized quantum curie–weiss law. Solid State Communications 106:10, pages 695-699.
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S A Hayward & E K H Salje. (1998) Low-temperature phase diagrams: non-linearities due to quantum mechanical saturation of order parameters. Journal of Physics: Condensed Matter 10:6, pages 1421-1430.
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E. K. H. Salje. (2010) Phase Transitions in Minerals: From Equilibrium Properties Towards Kinetic Behaviour Progress Report. Berichte der Bunsengesellschaft für physikalische Chemie 96:11, pages 1518-1541.
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E.K.H. Salje. (1992) Application of Landau theory for the analysis of phase transitions in minerals. Physics Reports 215:2, pages 49-99.
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