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Wannier function expansions are well suited for the description of photonic- crystal-based defect structures, but constructing maximally localized Wannier functions by optimizing the phase degree of freedom of the Bloch modes is crucial for…

光学 · 物理学 2015-05-27 Tobias Stollenwerk , Dmitry N. Chigrin , Johann Kroha

We present a method for obtaining well-localized Wannier-like functions (WFs) for energy bands that are attached to or mixed with other bands. The present scheme removes the limitation of the usual maximally-localized WFs method (N. Marzari…

材料科学 · 物理学 2009-11-07 Ivo Souza , Nicola Marzari , David Vanderbilt

Thanks to the nearsightedness principle, the low-energy electronic structure of solids can be represented by localized states such as the Wannier functions. Wannier functions are actively being applied to a wide range of phenomena in…

材料科学 · 物理学 2021-12-22 Jae-Mo Lihm , Cheol-Hwan Park

We present a theoretical method for calculating optical absorption spectra based on maximally localized Wannier functions, which is suitable for large periodic systems. For this purpose, we calculate the exciton Hamiltonian, which…

介观与纳米尺度物理 · 物理学 2023-09-14 Konrad Merkel , Frank Ortmann

We have developed a linear scaling algorithm for calculating maximally-localized Wannier functions (MLWFs) using atomic orbital basis. An O(N) ground state calculation is carried out to get the density matrix (DM). Through a projection of…

材料科学 · 物理学 2007-05-23 H. J. Xiang , Zhenyu Li , W. Z. Liang , Jinlong Yang , J. G. Hou , Qingshi Zhu

A non-iterative method is presented to calculate the closest Wannier functions (CWFs) to a given set of localized guiding functions, such as atomic orbitals, hybrid atomic orbitals, and molecular orbitals, based on minimization of a…

材料科学 · 物理学 2023-07-03 Taisuke Ozaki

We present an approach to parameterize DFT+$U$+$V$ from hybrid-functional calculations using Wannier-function projections. The method constructs a common localized Wannier basis for both semilocal DFT and hybrid-functional calculations,…

强关联电子 · 物理学 2026-02-25 Dmitry M. Korotin , Anna A. Anisimova , Vladimir I. Anisimov

The Projected Augmented Waves (PAW) method is based on a linear transformation between the pseudo wavefunctions and the all electron wavefunctions. To obtain high accuracy with this method, it is important that the local part of the linear…

其他凝聚态物理 · 物理学 2025-04-15 Garry Goldstein

We consider the applicability of phase space Wannier functions" to electronic structure calculations. These generalized Wannier functions are analogous to localized plane waves and constitute a complete, orthonormal set which is…

其他凝聚态物理 · 物理学 2010-07-22 D. J. Sullivan , J. J. Rehr , J. W. Wilkins , K. G. Wilson

We introduce a maximally-localized Wannier function representation of Bloch excitons, two-particle correlated electron-hole excitations, in crystalline solids, where the excitons are maximally-localized with respect to an average…

材料科学 · 物理学 2023-08-08 Jonah B. Haber , Diana Y. Qiu , Felipe H. da Jornada , Jeffrey B. Neaton

We describe and implement a first-principles algorithm based on maximally-localized Wannier functions for calculating the shift-current response of piezoelectric crystals in the independent-particle approximation. The proposed algorithm…

材料科学 · 物理学 2018-06-29 Julen Ibañez-Azpiroz , Stepan S. Tsirkin , Ivo Souza

We present a spin-dependent extension of the non-orthogonal generalized Wannier function (NGWF) formalism within the framework of linear-scaling density functional theory (LS-DFT) as implemented in the ONETEP code. In traditional LS-DFT…

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…

其他凝聚态物理 · 物理学 2021-11-09 Pietro F. Fontana , Ask H. Larsen , Thomas Olsen , Kristian S. Thygesen

We present an implementation of localized atomic orbital basis sets in the projector augmented wave (PAW) formalism within the density functional theory (DFT). The implementation in the real-space GPAW code provides a complementary basis…

Wannier functions that are maximally localized help in understanding many properties of crystalline materials. In the absence of topological obstructions, they are at least exponentially localized. In some cases such as flat-band…

介观与纳米尺度物理 · 物理学 2021-07-30 Pratik Sathe , Fenner Harper , Rahul Roy

Density functional theory plus $U$ (DFT+$U$) is one of the most efficient first-principles methods to simulate the cold pressure properties of strongly-correlated materials. However, the applicability of DFT+$U$ at ultra-high pressure is…

A grid-based real-space implementation of the Projector Augmented Wave (PAW) method of P. E. Blochl [Phys. Rev. B 50, 17953 (1994)] for Density Functional Theory (DFT) calculations is presented. The use of uniform 3D real-space grids for…

材料科学 · 物理学 2009-11-10 J. J. Mortensen , L. B. Hansen , K. W. Jacobsen

We have constructed maximally-localized Wannier functions for prototype structures of solid molecular hydrogen under pressure, starting from LDA and tight-binding Bloch wave functions. Each occupied Wannier function can be associated with…

材料科学 · 物理学 2009-10-31 Ivo Souza , Richard M. Martin , Nicola Marzari , Xinyuan Zhao , David Vanderbilt

In insulators, the method of Marzari and Vanderbilt [Phys. Rev. B {\bf 56}, 12847 (1997)] can be used to generate maximally localized Wannier functions whose centers are related to the electronic polarization. In the case of layered…

材料科学 · 物理学 2009-12-17 Xifan Wu , Oswaldo Diéguez , Karin M. Rabe , David Vanderbilt

The most general way to describe localized atomic-like electronic states in strongly correlated compounds is to utilize Wannier functions. In the present paper we continue the development of widely-spread DFT+U method onto Wannier function…

强关联电子 · 物理学 2015-09-02 D. Novoselov , Dm. M. Korotin , V. I. Anisimov