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相关论文: Symmetry-adapted Wannier functions in the maximal …

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Maximally localized Wannier functions are widely used in electronic structure theory for analyses of bonding, electric polarization, orbital magnetization, and for interpolation. The state of the art method for their construction is based…

材料科学 · 物理学 2015-12-02 Jamal I. Mustafa , Sinisa Coh , Marvin L. Cohen , Steven G. Louie

Since the seminal work of Marzari and Vanderbilt, maximally localized Wannier functions have become widely used as a real-space representation of the electronic structure of periodic materials. In this paper we introduce selectively…

强关联电子 · 物理学 2016-04-08 Runzhi Wang , Emanuel A. Lazar , Hyowon Park , Andrew J. Millis , Chris A. Marianetti

We discuss a method for constructing generalized Wannier functions that are maximally localized at the minima of a one-dimensional periodic potential with a double-well per unit cell. By following the approach of (Marzari M and Vanderbilt D…

量子气体 · 物理学 2013-07-04 Michele Modugno , Giulio Pettini

Maximally localized Wannier functions are the key tool for a variety of physical applications of Bloch states. Here we develop a simple and exact procedure to construct maximally localized Wannier functions for one dimensional periodic…

强关联电子 · 物理学 2014-12-12 Yuri Lensky , Colin Kennedy

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

A standard task in solid state physics and quantum chemistry is the computation of localized molecular orbitals known as Wannier functions. In this manuscript, we propose a new procedure for computing Wannier functions in one-dimensional…

数学物理 · 物理学 2025-10-21 Abinand Gopal , Hanwen Zhang

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…

材料科学 · 物理学 2009-10-30 Nicola Marzari , David Vanderbilt

We use the maximally-localized Wannier function method to study bonding properties in amorphous silicon. This study represents, to our knowledge, the first application of the Wannier-function analysis to a disordered system. Our results…

材料科学 · 物理学 2009-10-31 Pier Luigi Silvestrelli , Nicola Marzari , David Vanderbilt , Michele Parrinello

The maximally localized Wannier functions play a very important role in the study of chemical bonding, ballistic transport and strongly-correlated system, etc. A significant development in this branch was made in 1997 and conjectured that…

材料科学 · 物理学 2014-07-28 Sangryol Ri , Suil Ri

Maximally-localized Wannier functions are quantum wavefunctions resembling atomic orbitals that are used to describe electrons in condensed matter. Since their introduction in 1997, these functions have become ubiquitous in ab initio…

计算物理 · 物理学 2026-04-09 Sabyasachi Tiwari , Bruno Cucco , Viet-Anh Ha , Feliciano Giustino

We present a general method of constructing maximally localized Wannier functions. It consists of three steps: (1) picking a localized trial wave function, (2) performing a full band projection, and (3) orthonormalizing with the Lowdin…

其他凝聚态物理 · 物理学 2017-01-11 Junbo Zhu , Zhu Chen , Biao Wu

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 investigate the interplay of band structure topology and localization properties of Wannier functions. To this end, we extend a recently proposed compressed sensing based paradigm for the search for maximally localized Wannier functions…

介观与纳米尺度物理 · 物理学 2014-09-12 J. C. Budich , J. Eisert , E. J. Bergholtz , S. Diehl , P. Zoller

Localized Wannier functions provide an efficient and intuitive means by which to compute dielectric properties from first principles. They are most commonly constructed in a post-processing step, following total-energy minimization.…

材料科学 · 物理学 2012-05-16 David D. O'Regan , Mike C. Payne , Arash A. Mostofi

Wannier functions provide a localized representation of spectral subspaces of periodic Hamiltonians, and play an important role for interpreting and accelerating Hartree-Fock and Kohn-Sham density functional theory calculations in quantum…

计算物理 · 物理学 2018-01-29 Anil Damle , Antoine Levitt , Lin Lin

The construction of optimally localized Wannier functions (and Wannier functions in general) for a Chern insulator has been considered to be impossible owing to the fact that the second moment of such functions is generally infinite. In…

材料科学 · 物理学 2024-04-12 Thivan M. Gunawardana , Ari M. Turner , Ryan Barnett

Maximally localized Wannier functions (MLWFs) are conventionally constructed by iteratively minimizing a spread functional over a high-dimensional gauge landscape. In this work, we present a non-variational constructive algorithm that…

材料科学 · 物理学 2026-05-15 Yuji Hamai , Katsunori Wakabayashi

The construction of Wannier functions from Bloch orbitals offers a unitary freedom that can be exploited to yield Wannier functions with advantageous properties. Minimizing the spatial variance is a well-known choice; another, previously…

材料科学 · 物理学 2026-04-29 Aaron Mahler , Jacob Z. Williams , Neil Qiang Su , Weitao Yang

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 an automatized approach towards maximally localized Wannier functions (MLWFs) applicable to both occupied and unoccupied states. We overcome limitations of the standard optimized projection function (OPF) method and its…

材料科学 · 物理学 2025-02-17 Sebastian Tillack , Claudia Draxl
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