Accurate phenomenological models for all four phases of BaTiO<sub>3</sub>via semi-infinite optimization

Srinivas, V.; Vu‐Quoc, L.

doi:10.1080/00150199508208263

Cited by 7 publications

(3 citation statements)

References 13 publications

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“…Ferroelectricity arises due to the collections of domains, where the ferroelectric domains, as with ferromagnetic domains, are created and oriented by a need to minimize the fields as well as the free energy of the crystal. The bulk properties and domain structure of these materials have been extensively studied (Kim et al 2002;Bandyopadhyay and Ray 2004;Bandyopadhyay et al 2010;Srinivas and Vu-Quoc 1995;Bandyopadhyay et al 2006a, b, 2008, Scrymgeour et al 2005. However, recently they have gained renewed interest for potential applications in nanoscience and the design of nanodevices, where the focus is on properties exhibited at small length scales (Bandyopadhyay et al 2010;Giri et al 2011a).…”

Section: Introductionmentioning

confidence: 99%

Quantum breathers in lithium tantalate ferroelectrics

Biswas¹,

Adhikar²,

Choudhary

et al. 2012

Appl Nanosci

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Lithium tantalate is technologically one of the most important ferroelectric materials with a low poling field that has several applications in the field of photonics and memory switching devices. In a Hamiltonian system, such as dipolar system, the polarization behavior of such ferroelectrics can be well-modeled by Klein-Gordon (K-G) equation. Due to strong localization coupled with discreteness in a nonlinear K-G lattice, there is a formation of breathers and multi-breathers that manifest in the localization peaks across the domains in polarization-spacetime plot. Due to the presence of nonlinearity and also impurities (as antisite tantalum defects) in the structure, dissipative effects are observed and hence dissipative breathers are studied here. To probe the quantum states related to discrete breathers, the same K-G lattice is quantized to give rise to quantum breathers (QBs) that are explained by a periodic boundary condition. The gap between the localized and delocalized phonon-band is a function of impurity content that is again related to the effect of pinning of domains due to antisite tantalum defects in the system, i.e., a point of easier switching within the limited amount of data on poling field, which is related to Landau coefficient (read, nonlinearity). Secondly, in a non-periodic boundary condition, the temporal evolution of quanta shows interesting behavior in terms of 'critical' time of redistribution of quanta that is proportional to QB's lifetime in femtosecond having a possibility for THz applications. Hence, the importance of both the methods for characterizing quantum breathers is shown in these perspectives.

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Section: Introductionmentioning

confidence: 99%

Quantum breathers in lithium tantalate ferroelectrics

Biswas¹,

Adhikar²,

Choudhary

et al. 2012

Appl Nanosci

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“…However, high-performance materials such as ferroelectric BaTiO 3 used in MLCCs require sophisticated constitutive models to account for the change in material properties with temperature and orientation of the material. A new methodology based on semi-inÿnite optimization is introduced to obtain accurate constitutive models for ferroelectric material [28][29][30]. In the future, these accurate models can be used in conjunction with the FE procedure to improve the accuracy of the solution.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of advanced multilayer capacitors

Vu‐Quoc

Srinivas

Zhai

2003

Numerical Meth Engineering

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SUMMARYWe establish a systematic methodology to design and analyse electromagnetic components such as advanced multilayer ceramic capacitors (MLCCs) using the ÿnite element (FE) method. We employ a coupled formulation to compute the interaction between the electric and magnetic ÿelds. Unlike a linear distribution of current assumed in the circuit model, an accurate electrostatic solution to model the entire advanced MLCCs (4 × 4 × 27 = 432 cells) is presented. The FE solution is used to compute the lumped parameters for a range of frequencies. These lumped parameters are then used to compute the parasitic elements of the MLCCs. We introduce two algorithms to e ciently analyse the behaviour of a capacitor with changing frequency. The lower frequency (much below the selfresonant frequency of the capacitor) algorithm separates the e ect of the electric and magnetic ÿelds and reduces the computational e ort required to solve the FE problem, whereas, the high-frequency algorithm couples the e ect between the electric and the magnetic ÿelds. We use these algorithms in conjunction with a new multiple scale technique to e ectively determine the small values of R, L and C in MLCCs. The formulation, the implementation, and the numerical results demonstrate the e cacy of the present FE formulation and establish a systematic methodology to design and analyse advanced electromagnetic components.

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“…The bulk properties and domain structure of these materials have been extensively studied in the literature. [1][2][3][12][13][14][15][16] Space and time dependent nonlinear Klein Gorden equation generally used to study the domain walls, staggered polarization of ferroelectric slab domains within the continuum limit dynamics. 12,15 In the field of theoretical physics the nonlinear KG equation is a well-known equation, which has many applications to a wide variety of physical systems and explores many interesting properties of the systems.…”

Section: Introductionmentioning

confidence: 99%

Dark soliton based frequency dependent dielectric constant of ferroelectric materials

Giri

Mandal

2014

AIP Advances

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A model of one dimensional array of the slab domain of a ferroelectric crystal and its polarization with time and space is explained by nonlinear Klein Gorden (KG) equation. The present article has been shown the slower moving dark soliton and faster moving bright soliton both move in nonlinear system with dispersive frequency that has significant as characterized frequency of ferroelectric medium. It is also shown that the dark soliton has an important role to control the magnitude of dielectric constant of the medium. The frequency dependent dielectric constant is evaluated from the nonlinear Klein Gorden (NLKG) equation using characterized frequency and it matches with the experimental results.

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Accurate phenomenological models for all four phases of BaTiO₃via semi-infinite optimization

Cited by 7 publications

References 13 publications

Quantum breathers in lithium tantalate ferroelectrics

Quantum breathers in lithium tantalate ferroelectrics

Finite element analysis of advanced multilayer capacitors

Dark soliton based frequency dependent dielectric constant of ferroelectric materials

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Accurate phenomenological models for all four phases of BaTiO3via semi-infinite optimization

Cited by 7 publications

References 13 publications

Quantum breathers in lithium tantalate ferroelectrics

Quantum breathers in lithium tantalate ferroelectrics

Finite element analysis of advanced multilayer capacitors

Dark soliton based frequency dependent dielectric constant of ferroelectric materials

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Accurate phenomenological models for all four phases of BaTiO₃via semi-infinite optimization