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We present a robust algorithm that computes (maximally localized) Wannier functions (WFs) without the need of providing an initial guess. Instead, a suitable starting point is constructed automatically from so-called local orbitals which…

材料科学 · 物理学 2020-07-01 Sebastian Tillack , Andris Gulans , Claudia Draxl

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

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

Maximally localized Wannier functions (MLWFs) are widely used to construct first-principles tight-binding models that accurately reproduce the electronic structure of materials. Recently, robust and automated approaches to generate these…

计算物理 · 物理学 2023-11-02 Junfeng Qiao , Giovanni Pizzi , Nicola Marzari

Maximally-localized Wannier functions (MLWFs) are widely employed as an essential tool for calculating the physical properties of materials due to their localized nature and computational efficiency. Projectability-disentangled Wannier…

材料科学 · 物理学 2025-11-25 Yuhao Jiang , Junfeng Qiao , Nataliya Paulish , Weisheng Zhao , Nicola Marzari , Giovanni Pizzi

Maximally-localized Wannier functions (MLWFs) are a powerful and broadly used tool to characterize the electronic structure of materials, from chemical bonding to dielectric response to topological properties. Most generally, one can…

计算物理 · 物理学 2023-11-07 Junfeng Qiao , Giovanni Pizzi , Nicola Marzari

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 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

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 present a first-principles scheme that allows the orbital magnetization of a magnetic crystal to be evaluated accurately and efficiently even in the presence of complex Fermi surfaces. Starting from an initial electronic-structure…

材料科学 · 物理学 2012-02-03 M. G. Lopez , David Vanderbilt , T. Thonhauser , Ivo Souza

We propose an algorithm to determine Maximally Localized Wannier Functions (MLWFs). This algorithm, based on recent theoretical developments, does not require any physical input such as initial guesses for the Wannier functions, unlike…

材料科学 · 物理学 2017-03-13 Éric Cancès , Antoine Levitt , Gianluca Panati , Gabriel Stoltz

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

The theory for the generation of Wannier functions within the generalized Pipek--Mezey approach [Lehtola, S.; J\'onsson, H. J. Chem. Theory Comput. 2014, 10, 642] is presented and an implementation thereof is described. Results are…

材料科学 · 物理学 2017-02-15 Elvar Ö. Jónsson , Susi Lehtola , Martti Puska , Hannes Jónsson

Construction of maximally localized Wannier functions (MLWFs) has been implemented within the linear combination of pseudo-atomic orbital (LCPAO) method. Detailed analysis using MLWFs is applied to three closely related materials, single…

材料科学 · 物理学 2013-05-29 Hongming Weng , Taisuke Ozaki , Kiyoyuki Terakura

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 problem of construction of the Wannier functions (WFs) in a restricted Hilbert space of eigenstates of the one-electron Hamiltonian $\hat{H}$ (forming the so-called low-energy part of the spectrum) can be formulated in several different…

强关联电子 · 物理学 2007-05-23 I. V. Solovyev , Z. V. Pchelkina , V. I. Anisimov

A robust, user-friendly, and automated method to determine quantum conductance in disordered quasi-one-dimensional systems is presented. The scheme relies upon an initial density- functional theory calculation in a specific geometry after…

计算物理 · 物理学 2015-03-17 Matthew Shelley , Nicolas Poilvert , Arash A Mostofi , Nicola Marzari

We introduce a scheme for constructing partly occupied, maximally localized Wannier functions (WFs) for both molecular and periodic systems. Compared to the traditional occupied WFs the partly occupied WFs posses improved symmetry and…

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

The electronic structure of solids can routinely be calculated by standard methods like density functional theory. However, in complicated situations like interfaces, grain boundaries or contact geometries one needs to resort to more…

材料科学 · 物理学 2025-11-18 Henrik Dick , Thomas Dahm

We present Wannier90, a program for calculating maximally-localised Wannier functions (MLWF) from a set of Bloch energy bands that may or may not be attached to or mixed with other bands. The formalism works by minimising the total spread…

材料科学 · 物理学 2011-05-18 A. A. Mostofi , J. R. Yates , Y. -S. Lee , I. Souza , D. Vanderbilt , N. Marzari
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