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Ferroelectricity, a hallmark of spontaneous inversion-symmetry breaking, has been a central concept in condensed matter physics and functional materials research, yet recent discoveries are revealing that switchable polarization can emerge…

Materials Science · Physics 2026-05-11 Yudi Yang , Changming Ke , Shi Liu

Berry phase polarization calculations have been investigated for several ferroelectric materials from the point of view of practical calculations. It was shown that interpretation of the results is particular to each case due to the…

Materials Science · Physics 2017-04-26 Lucian D. Filip , Neculai Plugaru

Recent theoretical advances have established that the electric polarization in an insulating crystal can be viewed as a multivalued quantity that is determined by certain Berry phases associated with the occupied Bloch bands. The…

Materials Science · Physics 2007-05-23 David Vanderbilt

Ferroelectrics are widely used for a broad array of technological applications due to their attractive electrical and electromechanical properties. In order to obtain large functional properties, material compositions are often designed to…

Materials Science · Physics 2025-01-31 Abhijit Pramanick , Laurent Daniel

The so-called {\it Modern Theory of Polarization}, which rigorously defines the spontaneous polarization of a period solid and provides a route for its computation in electronic structure codes through the Berry phase, is introduced in a…

Materials Science · Physics 2021-03-09 Nicola A Spaldin

It is nowadays a quite diffuse idea that variations of electronic polarisation, as introduced by Resta[1], in condensed matter theory are related to a "Berry phase"[2], as shown by Vanderbilt. The derivation of the latter geometric phase is…

Other Condensed Matter · Physics 2010-06-14 Simone Selenu

Electric polarization in the absence of an externally applied electric field is a key property of polar materials, but the standard interpolation-based ab initio approach to compute polarization differences within the modern theory of…

Materials Science · Physics 2025-11-25 Abigail N. Poteshman , Francesco Ricci , Jeffrey B. Neaton

With the advent of increasingly elaborate experimental techniques in physics, chemistry and materials sciences, measured data are becoming bigger and more complex. The observables are typically a function of several stimuli resulting in…

Electric field plays an important role in ferroelectric phase transition. There have been numerous phase field formulations attempting to account for electrostatic interactions subject to different boundary conditions. In this paper, we…

Computational Physics · Physics 2019-10-18 Qiang Du , Ruotai Li , Lei Zhang

Fluorite ferroelectrics are exciting candidates for next-generation non-volatile memory devices because their unique ferroelectric mechanism, which arises from unconventional oxygen displacements, permits ferroelectricity with minimal…

The switching of electric polarization induced by electric fields -a fundamental functionality of ferroelectrics- is closely associated with the motions of the domain walls that separate regions with distinct polarization directions.…

Materials Science · Physics 2014-01-10 F. Kagawa , S. Horiuchi , N. Minami , S. Ishibashi , K. Kobayashi , R. Kumai , Y. Murakami , Y. Tokura

We consider the flow of polarization current J(t)=dP/dt produced by a homogeneous electric field E(t) or by rapidly varying some other parameter in the Hamiltonian of a solid. For an initially insulating system and a collisionless time…

Materials Science · Physics 2009-11-10 Ivo Souza , Jorge Iniguez , David Vanderbilt

We discuss characterization of the polarization for insulators under the periodic boundary condition in terms of the Berry phase, clarifying confusing subtleties. For band insulators, the Berry phase can be formulated in terms of the Bloch…

Strongly Correlated Electrons · Physics 2019-02-26 Haruki Watanabe , Masaki Oshikawa

Monte Carlo simulations are used to examine cooperative creation of polar state in fluids of two-state particles with nonzero dipole in the excited state. With lowering temperature such systems undergo a second order transition from…

Soft Condensed Matter · Physics 2009-11-11 Dmitry V. Matyushov , Andriy Okhrimovskyy

A ferroelectric is a material with a polar structure whose polarity can be reversed by applying an electric field. In metals, the itinerant electrons tend to screen electrostatic forces between ions, helping to explain why polar metals are…

A general mechanism by which orbital ordering, coupled to Peierls-like lattice distortions, can induce an electronic switchable polarization is discussed within a model Hamiltonian approach in the context of the modern theory of…

Strongly Correlated Electrons · Physics 2015-02-17 Paolo Barone , Silvia Picozzi

A relationship is derived between differences in electric polarization between bands and the "shift vector" that controls part of a material's bulk photocurrent, then demonstrated in several models. Electric polarization has a quantized…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Benjamin M. Fregoso , Takahiro Morimoto , Joel E. Moore

We consider Bloch electrons in the presence of the uniform electromagnetic field in two- and three-dimensions. It is renowned that the quantized Hall effect occurs in such systems. We suppose a weak and homogeneous electric field…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Goryo , M. Kohmoto

Ferroelectric field-effect transistors (FE-FETs) consisting of tunable dielectric layers are utilized to investigate interfacial transport processes. Large changes in the dielectric constant as a function of temperature are observed in…

Materials Science · Physics 2015-06-04 Satyaprasad P. Senanayak , S. Guha , K. S. Narayan

It is nowadays a quite diffuse idea that variations of polarisation in condensed matter theory are related to a "Berry phase". The derivation of the latter geometric phase is correct $\it{only if}$ the restrictive periodic gauge\cite{KS-V}…

Materials Science · Physics 2009-06-26 Simone Selenu
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