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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…

Materials Science · Physics 2015-12-02 Jamal I. Mustafa , Sinisa Coh , Marvin L. Cohen , Steven G. Louie

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 discuss a maximally localized Wannier function approach for constructing lattice models from first-principles electronic structure calculations, where the effective Coulomb interactions are calculated in the constrained…

Strongly Correlated Electrons · Physics 2009-11-13 Takashi Miyake , F. Aryasetiawan

We report a theoretical scheme that enables the calculation of maximally localized Wannier functions in the formalism of projector-augmented-waves (PAW) which also includes the ultrasoft-pseudopotential (USPP) approach. We give a…

Soft Condensed Matter · Physics 2007-05-23 Andrea Ferretti , Arrigo Calzolari , Benedetta Bonferroni , Rosa Di Felice

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

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…

Materials Science · Physics 2009-10-31 Pier Luigi Silvestrelli , Nicola Marzari , David Vanderbilt , Michele Parrinello

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 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

We consider the applicability of phase space Wannier functions" to electronic structure calculations. These generalized Wannier functions are analogous to localized plane waves and constitute a complete, orthonormal set which is…

Other Condensed Matter · Physics 2010-07-22 D. J. Sullivan , J. J. Rehr , J. W. Wilkins , K. G. Wilson

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

We present an algorithm for the adaptive tetrahedral integration over the Brillouin zone of crystalline materials, and apply it to compute the optical conductivity, dc conductivity, and thermopower. For these quantities, whose contributions…

Computational Physics · Physics 2016-04-11 E. Assmann , P. Wissgott , J. Kuneš , A. Toschi , P. Blaha , K. Held

When the first four spectral moments are considered, spectral features missing in standard Kohn-Sham (KS) density-functional theory (DFT), such as upper and lower Hubbard bands, as well as spectral satellite peaks, can be described, and the…

Strongly Correlated Electrons · Physics 2023-01-13 Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

We present a new open-source program, DCore, that implements dynamical mean-field theory (DMFT). DCore features a user-friendly interface based on text and HDF5 files. It allows DMFT calculations of tight-binding models to be performed on…

Strongly Correlated Electrons · Physics 2021-05-28 Hiroshi Shinaoka , Junya Otsuki , Mitsuaki Kawamura , Nayuta Takemori , Kazuyoshi Yoshimi

We review the formalisms of the self-consistent GW approximation to many-body perturbation theory and of the generation of optimally-localized Wannier functions from groups of energy bands. We show that the quasiparticle Bloch wave…

Materials Science · Physics 2009-11-13 D. R. Hamann , David Vanderbilt

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…

Mesoscale and Nanoscale Physics · Physics 2014-09-12 J. C. Budich , J. Eisert , E. J. Bergholtz , S. Diehl , P. Zoller

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…

Materials Science · Physics 2014-07-28 Sangryol Ri , Suil Ri

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

Ubiquitous Van der Waals interactions between atoms and molecules are important for many molecular and solid structures. These systems are often studied from first principles using the Density Functional Theory (DFT). However, the commonly…

Materials Science · Physics 2009-11-13 Pier Luigi Silvestrelli

We extend the Intrinsic Atomic Orbital (IAO) method for localisation of molecular orbitals to calculate well-localised generalised Wannier functions in crystals using the Pipek--Mezey locality metric. We furthermore present a one-shot…

Materials Science · Physics 2024-07-02 Andrew Zhu , David P. Tew

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