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RESPACK is a first-principles calculation software for evaluating the interaction parameters of materials and is able to calculate maximally localized Wannier functions, response functions based on the random phase approximation and related…

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

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 practical scheme to construct partly occupied, maximally localized Wannier functions (WFs) for a wide range of systems. We explain and demonstrate how the inclusion of selected unoccupied states in the definition of the…

Materials Science · Physics 2009-11-11 K. S. Thygesen , L. B. Hansen , K. W. Jacobsen

The generation of input files for density functional theory (DFT) programs must often be manually done by researchers. If one wishes to produce a maximally localized wannier functions (MLWFs) the calculation consists of several separate…

Computational Physics · Physics 2020-06-24 Christopher Sims

The momentum-space derivatives of Bloch wavefunctions are essential for studying quantum geometry and the equilibrium and response properties of solids. In practical first-principles calculations, these derivatives are obtained via Wannier…

Materials Science · Physics 2026-04-27 Jae-Mo Lihm , Minsu Ghim , Seung-Ju Hong , Cheol-Hwan Park

In this work a framework for quantum transport simulation from first principles is introduced, focusing on the coherent case. The model is based on the non-equilibrium Green's function (NEGF) formalism and maximally localized Wannier…

Computational Physics · Physics 2020-07-14 Christian Stieger , Mathieu Luisier

Functionals that strive to correct for such self-interaction errors, such as those obtained by imposing the Perdew-Zunger self-interaction correction or the generalized Koopmans' condition, become orbital dependent or orbital-density…

Materials Science · Physics 2011-08-30 Cheol-Hwan Park , Andrea Ferretti , Ismaila Dabo , Nicolas Poilvert , Nicola Marzari

We present an alternative formalism for calculating the maximally localized Wannier functions in crystalline solids, obtaining an expression which is extremely simple and general. In particular, our scheme is exactly invariant under…

Materials Science · Physics 2011-03-03 Massimiliano Stengel , Nicola A. Spaldin

We propose a general method of constructing Wannier functions in disordered systems directly out of energy eigenstates. This method consists of two successive operations: (i) a phase transformation setting the proper localization center;…

Disordered Systems and Neural Networks · Physics 2015-12-24 Junbo Zhu , Zhu Chen , Biao Wu

We show that an optimized projection functions method can automatically construct maximally localized Wannier functions even for bands with nontrivial topology. We demonstrate this method on a tight-binding model of a two-dimensional…

Materials Science · Physics 2016-10-05 Jamal I. Mustafa , Sinisa Coh , Marvin L. Cohen , Steven G. Louie

Wannier functions have become a powerful tool in the electronic structure calculations of extended systems. The generalized Pipek-Mezey Wannier functions exhibit appealing characteristics (e.g., reaching an optimal localization and the…

Materials Science · Physics 2022-04-04 Guorong Weng , Mariya Romanova , Arsineh Apelian , Hanbin Song , Vojtěch Vlček

We investigate the electronic structure of over-coordinated defects in amorphous silicon via density-functional total-energy calculations, with the aim of understanding the relationship between topological and electronic properties on a…

Materials Science · Physics 2007-05-23 M. Fornari , N. Marzari , M. Peressi , A. Baldereschi

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…

Materials Science · Physics 2024-04-12 Thivan M. Gunawardana , Ari M. Turner , Ryan Barnett

The paper presents the group theory of best localized and symmetry-adapted Wannier functions in a crystal of any given space group G or magnetic group M. Provided that the calculated band structure of the considered material is given and…

Strongly Correlated Electrons · Physics 2015-05-22 Ekkehard Krüger , Horst P. Strunk

Accurate prediction of fundamental band gaps of crystalline solid state systems entirely within density functional theory is a long standing challenge. Here, we present a simple and inexpensive method that achieves this by means of…

Localized Wannier functions provide an efficient and intuitive framework to compute electric polarization from first-principles. They can also be used to represent the electronic systems at fixed electric field and to determine dielectric…

Materials Science · Physics 2020-01-28 Pawel Lenarczyk , Mathieu Luisier

We present a rapidly convergent scheme for computing globally optimal Wannier functions of isolated single bands for matrix models in two dimensions. The scheme proceeds first by constructing provably exponentially localized Wannier…

Mathematical Physics · Physics 2025-04-24 Hanwen Zhang

The discovery and design of functional materials for energy harvesting and electronic applications require accurate predictions of their optical and transport properties. While several existing databases contain the first-order optical…

Materials Science · Physics 2025-04-02 Zhenyao Fang , Ting-Wei Hsu , Qimin Yan

We present an open-source software package WannierTools, a tool for investigation of novel topological materials. This code works in the tight-binding framework, which can be generated by another software package Wannier90. It can help to…

Computational Physics · Physics 2018-02-05 QuanSheng Wu , ShengNan Zhang , Hai-Feng Song , Matthias Troyer , Alexey A. Soluyanov