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相关论文: Berry-phase theory of proper piezoelectric respons…

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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…

材料科学 · 物理学 2017-04-26 Lucian D. Filip , Neculai Plugaru

We demonstrate that polarization-related quantities in semiconductors can be predicted accurately from first-principles calculations using the appropriate approach to the problem, the Berry-phase polarization theory. For III-V nitrides, our…

材料科学 · 物理学 2016-08-31 F. Bernardini , V. Fiorentini , D. Vanderbilt

The switching polarization of a ferroelectric is a characterization of the current that flows due to changes in polarization when the system is switched between two states. Computation of this change in polarization in crystal systems has…

材料科学 · 物理学 2020-07-29 John Bonini , David Vanderbilt , Karin M. Rabe

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…

强关联电子 · 物理学 2019-02-26 Haruki Watanabe , Masaki Oshikawa

A perturbation theory of the static response of insulating crystals to homogeneous electric fields, that combines the modern theory of polarization (MTP) with the variation-perturbation framework is developed, at unrestricted order of…

材料科学 · 物理学 2009-11-07 R. W. Nunes , Xavier Gonze

Using the strain-dependent effective Hamiltonian and the geometric phase, Droth et al. [Phys. Rev. B 94, 075404 (2016)] obtain an analytical expression for the electronic contribution to the piezoelectricity of planar hexagonal boron…

介观与纳米尺度物理 · 物理学 2018-10-31 Jie Li , Yunhua Wang , Zongtan Wang , Jie Tan , Biao Wang , Yulan Liu

Condensed matter physics is often concerned with determining the response of a solid to an external stimulus. This paper revisits and extends the microscopic formalism for calculating response coefficients -- here referred to as…

其他凝聚态物理 · 物理学 2025-12-23 J. W. F. Venderbos

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…

材料科学 · 物理学 2025-11-25 Abigail N. Poteshman , Francesco Ricci , Jeffrey B. Neaton

The polarization of a material and its response to applied electric and magnetic fields are key solid-state properties with a long history in insulators, although a satisfactory theory required new concepts such as Berry-phase gauge fields.…

介观与纳米尺度物理 · 物理学 2017-01-13 Daniel Varjas , Adolfo G. Grushin , Roni Ilan , Joel E. Moore

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…

材料科学 · 物理学 2009-11-10 Ivo Souza , Jorge Iniguez , David Vanderbilt

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…

材料科学 · 物理学 2021-03-09 Nicola A Spaldin

The many-body Berry phase formula for the macroscopic polarization is approximated by a sum of natural orbital geometric phases with fractional occupation numbers accounting for the dominant correlation effects. This reduced formula…

强关联电子 · 物理学 2018-12-14 Ryan Requist , E. K. U. Gross

Based on the conventional energy band theory, an approach is presented to describe the electronic structure of crystalline insulators in the presence of a finite homogeneous electric field. The expression of polarization is derived which…

材料科学 · 物理学 2009-11-10 Zhi-Rong Liu , Jian Wu , Wenhui Duan

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…

其他凝聚态物理 · 物理学 2010-06-14 Simone Selenu

Recently, it has been established that Chern insulators possess an intrinsic two-dimensional electric polarization, despite having gapless edge states and non-localizable Wannier orbitals. This polarization, $\vec{P}_{\text{o}}$, can be…

强关联电子 · 物理学 2025-12-05 Yuxuan Zhang , Maissam Barkeshli

The dipole moment of any finite and neutral system, having a square-integrable wavefunction, is a well defined quantity. The same quantity is ill-defined for an extended system, whose wavefunction invariably obeys periodic (Born-von Karman)…

材料科学 · 物理学 2007-05-23 Raffaele Resta

The theoretical identification of crystalline topological materials has enjoyed sustained success in simplified materials models, often by singling out discrete symmetry operations protecting the topological phase. When band structure…

材料科学 · 物理学 2026-05-15 Emanuele Maggio

An expression is given for the electronic polarization of an insulating crystal within the ultrasoft pseudopotential scheme. The pseudopotential charge-augmentation terms modify the usual Berry-phase expression, and also give rise to a…

材料科学 · 物理学 2007-05-23 David Vanderbilt , R. D. King-Smith

We derive the charge density up to second order in spatial gradient in inhomogeneous crystals using the semiclassical coarse graining procedure based on the wave packet method. It can be recast as divergence of polarization, whose…

介观与纳米尺度物理 · 物理学 2021-10-15 Yiqiang Zhao , Yang Gao , Di Xiao

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…

介观与纳米尺度物理 · 物理学 2009-11-07 J. Goryo , M. Kohmoto
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