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Related papers: Construction of Wannier Functions in Disordered Sy…

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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

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,…

Strongly Correlated Electrons · Physics 2026-02-25 Dmitry M. Korotin , Anna A. Anisimova , Vladimir I. Anisimov

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 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…

Materials Science · Physics 2025-11-18 Henrik Dick , Thomas Dahm

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

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…

Materials Science · Physics 2026-05-15 Yuji Hamai , Katsunori Wakabayashi

System of Dirac fermions with random-varying mass is studied in detail. We reformulate the system by transfer-matrix formalism. Eigenvalues and wave functions are obtained numerically for various configurations of random telegraphic mass…

Disordered Systems and Neural Networks · Physics 2009-10-31 Koujin Takeda , Toyohiro Tsurumaru , Ikuo Ichinose , Masaomi Kimura

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…

Strongly Correlated Electrons · Physics 2015-09-02 D. Novoselov , Dm. M. Korotin , V. I. Anisimov

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 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…

Materials Science · Physics 2018-06-29 Julen Ibañez-Azpiroz , Stepan S. Tsirkin , Ivo Souza

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

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

In this manuscript, we show how flow equation methods can be used to study localisation in disordered quantum systems, and particularly how to use this approach to obtain the non-equilibrium dynamical evolution of observables. We review the…

Disordered Systems and Neural Networks · Physics 2020-02-27 S. J. Thomson , M. Schiró

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…

Materials Science · Physics 2012-02-03 M. G. Lopez , David Vanderbilt , T. Thonhauser , Ivo Souza

It is commonly believed that Anderson localized states and extended states do not coexist at the same energy. Here we propose a simple mechanism to achieve the coexistence of localized and extended states in a band in a class of disordered…

Disordered Systems and Neural Networks · Physics 2019-03-06 Yi-Xin Xiao , Zhao-Qing Zhang , C. T. Chan

We have proposed a method for correcting the Kohn-Sham eigen energies in the density functional theory (DFT) based on the Koopmans theorem using Wannier functions. The method provides a general approach applicable for molecules and solids…

Computational Physics · Physics 2015-03-02 Jie Ma , Lin-Wang Wang

We present a formal expression for Wannier functions of composite bands of 1-D Bloch electrons in terms of parallel-transported Bloch functions and their non-Abelian geometric phases. Spatial decay properties of these Wannier functions are…

Materials Science · Physics 2009-11-10 Joydeep Bhattacharjee , Umesh V Waghmare

Many models for chaotic systems consist of joining two integrable systems with incompatible constants of motion. The quantum counterparts of such models have a propagator which factorizes into two integrable parts. Each part can be…

Chaotic Dynamics · Physics 2009-10-31 Tomaz Prosen , Thomas H. Seligman , Hans A. Weidenmueller

In this paper we present calculations on the electronic band structure of a two-dimensional lateral superlattice subject to a perpendicular magnetic field by employing a projection operator technique based on the ray-group of…

Materials Science · Physics 2009-11-11 G. S. Kliros , P. C. Divari

The nodal structure of bound-state wave functions for one-dimensional quantum systems with quartic energy-momentum dispersion and polynomial potentials is analysed by using the semiclassical approximation and variational approach. For…

Strongly Correlated Electrons · Physics 2026-03-06 E. V. Gorbar , B. E. Grinyuk , V. P. Gusynin