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The effect of ferroelectric fluctuations on the temperature dependent dielectric constant of SrTiO$_3\,$(STO) has been long studied. Those fluctuations have been shown in recent years to be quantum critical and STO demonstrated to form the…

Strongly Correlated Electrons · Physics 2019-12-18 M. J. Coak , C. R. S. Haines , C. Liu , G. G. Guzmán-Verri , S. S. Saxena

We present a microscopic model of the quantum paraelectric-ferroelectric phase transition with a focus on the influence of coupled fluctuating phonon modes. These may drive the continuous phase transition first order through a metaelectric…

Strongly Correlated Electrons · Physics 2015-05-14 G. J. Conduit , B. D. Simons

We report a molecular dynamics study of ab initio quality of the ferroelectric phase transition in crystalline PbTiO3. We model anharmonicity accurately in terms of potential energy and polarization surfaces trained on density functional…

Materials Science · Physics 2025-04-02 Pinchen Xie , Yixiao Chen , Weinan E , Roberto Car

A theoretical study on low-temperature structural phase transitions is presented, in which both phonon-like and relaxation order-parameter dynamics are contemplated. While the first limiting case has been considered previously, the second…

Statistical Mechanics · Physics 2009-11-10 A. Cano , A. P. Levanyuk

The soft modes in the two- and eight-direction order-disorder ferroelectrics are calculated under the mean-field approximation. We find that the conventional method of the pseudospin model to calculate the soft-mode frequency is incorrect,…

Materials Science · Physics 2007-05-23 Zhi-Rong Liu , Wenhui Duan , Bing-Lin Gu , Xiao-Wen Zhang

Microwave measurements have recently been successfully applied to measure ferroelectric materials on the nanoscale, including detection of polarization switching and ferroelectric domain walls. Here we discuss the question whether scanning…

Materials Science · Physics 2021-11-24 Mykola Yelisieiev , Petro Maksymovych , Anna N. Morozovska

Understanding collective phenomena in quantum materials from first principles is a promising route toward engineering materials properties on demand and designing new functionalities. This work examines the quantum paraelectric state, an…

Materials Science · Physics 2022-09-27 Luigi Ranalli , Carla Verdi , Lorenzo Monacelli , Matteo Calandra , Georg Kresse , Cesare Franchini

Transient responses of the electronic excitation and coherent soft phonon are investigated both above and below the ferroelectric phase transition temperature T$_{c}$ in Pb$_{1-x}$Ge$_{x}$Te by using an optical pump-probe technique. The…

Materials Science · Physics 2007-05-23 Rong Lu , Muneaki Hase , Masahiro Kitajima , Shinichi Nakashima , Shunji Sugai

We review the theory of second--order (ferro--)elastic phase transitions, where the order parameter consists of a certain linear combination of strain tensor components, and the accompanying soft mode is an acoustic phonon. In…

Condensed Matter · Physics 2009-10-28 F. Schwabl , U. C. Täuber

We present a minimal theory of superconductivity enhancement in ferroelectric-type materials. Simple expressions for the optical mode responsible for the soft mode transition are assumed. A key role is played by the anharmonic phonon…

Superconductivity · Physics 2022-02-09 Chandan Setty , Matteo Baggioli , Alessio Zaccone

Soft phonon behavior associated with a structural phase transition from the low-temperature-orthorhombic (LTO) phase ($Bmab$ symmetry) to the low-temperature-tetragonal (LTT) phase ($P4_{2}/ncm$ symmetry) was investigated in…

Superconductivity · Physics 2009-11-10 H. Kimura , Y. Noda , H. Goka , M. Fujita , K. Yamada , G. Shirane

We examine the low-energy excitations in the vicinity of the quantum critical point in LiHoF$_4$, a physical realization of the Transverse Field Ising Model, focusing on the long-range fluctuations which soften to zero energy at the…

Strongly Correlated Electrons · Physics 2024-10-25 P. C. E. Stamp , D. M. Silevitch , M. Libersky , Ryan McKenzie , A. A. Geim , T. F. Rosenbaum

Temperature dependences of the optic phonons in $\rm PbSc_{1/2}Ta_{1/2}O_3$ sol-gel films deposited on sapphire substrates were studied by means of Fourier transform far-infrared transmission spectroscopy in the temperature range 20-900\K.…

Materials Science · Physics 2009-11-11 S. Kamba , M. Berta , M. Kempa , J. Petzelt , K. Brinkman , N. Setter

We report that the lowest energy transverse-optic phonon in metallic SnTe softens to near zero energy at the structural transition at $T_C=75 \text{~K}$ and importantly show that the energy of this mode below $T_C$ increases as the…

One account of two-dimensional (2D) structural transformations in 2D ferroelectrics predicts an evolution from a structure with Pnm2$_1$ symmetry into a structure with square P4/nmm symmetry and is consistent with experimental evidence,…

Soft Condensed Matter · Physics 2020-05-13 John W. Villanova , Pradeep Kumar , Salvador Barraza-Lopez

In this paper, we present a microscopic model for heterogeneous ferroelectric and an order parameter for relaxor phase. We write a Landau theory based on this model and its application to ferroelectric PbFe$_{1/2}$Ta$_{1/2}$O$_3$ (PFT) and…

Materials Science · Physics 2009-11-10 S. A. Prosandeev , I. P. Raevski , U. V. Waghmare

The Landau theory of phase transitions has been re-examined under the framework of a modified mean field theory in ferroelectrics. By doing so, one can see that there are two atomic movements involved in the ferroelectric phase transition;…

Statistical Mechanics · Physics 2017-03-29 John Y. Fu

A phonon theory of precursor phenomena in martensitic phase transformations is developed. Extending Gr\"uneisen theory of thermal expansion, this theory addresses the effects of deformation-dependent low-energy phonons on the structural,…

Materials Science · Physics 2014-12-12 Yongmei M. Jin , Yu U. Wang

Topological phase transitions occur when the electronic bands change their topological properties, typically featuring the closing of the bandgap. While the influence of topological phase transitions on electronic and optical properties has…

Materials Science · Physics 2021-01-04 Shengying Yue , Bowen Deng , Yanming Liu , Yujie Quan , Runqing Yang , Bolin Liao

The relaxor ferroelectric PbMg1/Nb2/3O3 was investigated by means of broad-band dielectric and Fourier Transform Infrared (FTIR) transmission spectroscopy in the frequency range from 1 MHz to 15 THz at temperatures between 20 and 900 K…

Materials Science · Physics 2009-11-10 S. Kamba , M. Kempa , V. Bovtun , J. Petzelt , K. Brinkman , N. Setter
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