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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

Polarons are composite quasiparticles formed by excess charges and the accompanying lattice distortions in solids, and play a critical role in transport, optical, and catalytic properties of semiconductors and insulators. The standard…

Materials Science · Physics 2026-03-25 Zhenbang Dai , Donghwan Kim , Jon Lafuente-Bartolome , Feliciano Giustino

We discuss a non-perturbative, technically straightforward, easy-to-use, and computationally affordable method, based on polarization theory, for the calculation of the electronic dielectric constant of insulating solids at the first…

Materials Science · Physics 2009-10-31 Fabio Bernardini , Vincenzo Fiorentini

We develop a general and unified first-principles theory of piezoelectric and flexoelectric tensor, formulated in such a way that the tensor elements can be computed directly in the context of density-functional calculations, including…

Materials Science · Physics 2013-11-21 Jiawang Hong , David Vanderbilt

In this paper we present an approach aimed at performing many-body calculations of Born-effective charges of crystalline insulators, by including the electron-correlation effects. The scheme is implemented entirely in the real space, using…

Materials Science · Physics 2010-01-14 Priya Sony , Alok Shukla

Specific forms of the exchange correlation energy functionals in first-principles density functional theory-based calculations, such as the local density approximation (LDA) and generalized-gradient approximations (GGA), give rise to…

Materials Science · Physics 2010-10-08 Takeshi Nishimatsu , Masaya Iwamoto , Yoshiyuki Kawazoe , Umesh V. Waghmare

We propose a method for calculating Wannier functions of periodic solids directly from a modified variational principle for the energy, subject to the requirement that the Wannier functions are orthogonal to all their translations…

Materials Science · Physics 2014-03-28 Farzin Barekat , Ke Yin , Russel E. Caflisch , Stanley J. Osher , Rongjie Lai , Vidvuds Ozolins

In the last ten years significant advances have been made in our understanding and ability to compute and predict properties of ferroelectrics and piezoelectrics using fundamental physics. Phase diagrams, electromechanical and elastic…

Materials Science · Physics 2007-05-23 Ronald E. Cohen

The electronic ground state of a periodic system is usually described in terms of extended Bloch orbitals, but an alternative representation in terms of localized "Wannier functions" was introduced by Gregory Wannier in 1937. The connection…

Materials Science · Physics 2012-11-28 Nicola Marzari , Arash A. Mostofi , Jonathan R. Yates , Ivo Souza , David Vanderbilt

Ferroelectric materials display exotic polarization textures at the nanoscale that could be used to improve the energetic efficiency of electronic components. The vast majority of studies were conducted in two dimensions on thin films, that…

Based on recent advances in first-principles theory, we develop a general model of the band offset at metal/ferroelectric interfaces. We show that, depending on the polarization of the film, a pathological regime might occur where the…

Materials Science · Physics 2015-05-27 Massimiliano Stengel , Pablo Aguado-Puente , Nicola A. Spaldin , Javier Junquera

We introduce a new type of Wannier functions (WFs) obtained by minimizing the conventional spread functional with a penalty term proportional to the variance of the spread distribution. This modified Wannierisation scheme is less prone to…

Other Condensed Matter · Physics 2021-11-09 Pietro F. Fontana , Ask H. Larsen , Thomas Olsen , Kristian S. Thygesen

First-principles phonon calculations have been widely performed for studying vibrational properties of condensed matter, where the dynamical matrix is commonly constructed via supercell force-constant calculations or the linear response…

Materials Science · Physics 2020-11-11 Chi-Cheng Lee , Chin-En Hsu , Hung-Chung Hsueh

Electrostriction is an important material property that characterizes how strain changes with the development of polarization inside a material. We show that \textit{ab initio }techniques developed in recent years can be exploited to…

Materials Science · Physics 2016-06-24 Z. Jiang , R. Zhang , F. Li , L. Jin , N. Zhang , D. Wang , C. -L. Jia

The $\phi(\kpp)\sim \kpp$ relation is called polarization structure. By density functional calculations, we study the polarization structure in ferroelectric perovskite PbTiO$_3$, revealing (1) the $\kpp$ point that contributes most to the…

Materials Science · Physics 2009-01-08 Yanpeng Yao , Huaxiang Fu

We present a self-consistent, real-space calculation of the Wannier functions of Si and GaAs within density functional theory. We minimize the total energy functional with respect to orbitals which behave as Wannier functions under crystal…

Materials Science · Physics 2009-10-28 Pablo Fernández , Andrea Dal Corso , Francesco Mauri , Alfonso Baldereschi

The structural, dielectric, dynamical, elastic, piezoelectric and nonlinear optical (second-order susceptibility and Pockels tensors) properties of Bi2$WO6 in its P2_1ab ferroelectric ground state are determined using density functional…

Materials Science · Physics 2014-03-19 Hania Djani , Patrick Hermet , Philippe Ghosez

An ab initio Wannier-function-based approach to electronic ground-state calculations for crystalline solids is outlined. In the framework of the linear combination of atomic orbitals method the infinite character of the solid is rigorously…

Condensed Matter · Physics 2009-10-31 Martin Albrecht , Alok Shukla , Michael Dolg , Peter Fulde , Hermann Stoll

We discuss a method for determining the optimally-localized set of generalized Wannier functions associated with a set of Bloch bands in a crystalline solid. By ``generalized Wannier functions'' we mean a set of localized orthonormal…

Materials Science · Physics 2009-10-30 Nicola Marzari , David Vanderbilt

We establish a first-principles theory of vacuum Wannier functions unifying tight-binding and nearly-free-electron descriptions across solid-vacuum interfaces. Analytic solutions for canonical Wannier functions in arbitrary dimension and…

Materials Science · Physics 2026-03-17 Tyler Wu , Tomás Arias