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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…

Materials Science · Physics 2025-02-17 Sebastian Tillack , Claudia Draxl

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…

Materials Science · Physics 2025-11-25 Yuhao Jiang , Junfeng Qiao , Nataliya Paulish , Weisheng Zhao , Nicola Marzari , Giovanni Pizzi

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…

Computational Physics · Physics 2023-11-02 Junfeng Qiao , Giovanni Pizzi , Nicola Marzari

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

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…

Materials Science · Physics 2017-03-13 Éric Cancès , Antoine Levitt , Gianluca Panati , Gabriel Stoltz

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…

Materials Science · Physics 2020-07-01 Sebastian Tillack , Andris Gulans , Claudia Draxl

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…

Computational Physics · Physics 2023-11-07 Junfeng Qiao , Giovanni Pizzi , Nicola Marzari

Position scaling-eigenfunctions are generated by transforming compactly supported orthonormal scaling functions and utilized for faster alternatives to maximally localized Wannier functions (MLWFs). The position scaling-eigenfunctions are…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 Yuji Hamai , Katsunori Wakabayashi

A procedure to construct symmetry-adapted Wannier functions in the framework of the maximally-localized Wannier function approach[Marzari and Vanderbilt, Phys. Rev. B \textbf{56}, 12847 (1997); Souza, Marzari, and Vanderbilt, \textit{ibid.}…

Strongly Correlated Electrons · Physics 2015-06-16 R. Sakuma

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…

Materials Science · Physics 2011-05-18 A. A. Mostofi , J. R. Yates , Y. -S. Lee , I. Souza , D. Vanderbilt , N. Marzari

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…

Materials Science · Physics 2013-05-29 Hongming Weng , Taisuke Ozaki , Kiyoyuki Terakura

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…

Materials Science · Physics 2023-07-03 Taisuke Ozaki

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…

Materials Science · Physics 2026-04-29 Aaron Mahler , Jacob Z. Williams , Neil Qiang Su , Weitao Yang

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…

Strongly Correlated Electrons · Physics 2016-04-08 Runzhi Wang , Emanuel A. Lazar , Hyowon Park , Andrew J. Millis , Chris A. Marianetti

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…

Computational Physics · Physics 2015-03-17 Matthew Shelley , Nicolas Poilvert , Arash A Mostofi , Nicola Marzari

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…

Quantum Gases · Physics 2013-07-04 Michele Modugno , Giulio Pettini

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…

Materials Science · Physics 2007-05-23 H. J. Xiang , Zhenyu Li , W. Z. Liang , Jinlong Yang , J. G. Hou , Qingshi Zhu

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…

Materials Science · Physics 2009-11-07 Ivo Souza , Nicola Marzari , David Vanderbilt

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.…

Materials Science · Physics 2012-05-16 David D. O'Regan , Mike C. Payne , Arash A. Mostofi

Maximally localized Wannier functions are localized orthogonal functions that can accurately represent given Bloch eigenstates of a periodic system at a low computational cost, thanks to the small size of each orbital. Tight-binding models…

Materials Science · Physics 2019-03-15 Jae-Mo Lihm , Cheol-Hwan Park
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