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Related papers: Maximally localized Wannier functions: Theory and …

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Gapped periodic quantum systems exhibit an interesting Localization Dichotomy, which emerges when one looks at the localization of the optimally localized Wannier functions associated to the Bloch bands below the gap. As recently proved,…

Mathematical Physics · Physics 2019-09-10 Giovanna Marcelli , Domenico Monaco , Massimo Moscolari , Gianluca Panati

We investigate a recently developed approach [P. L. Silvestrelli, Phys. Rev. Lett. 100, 053002 (2008); J. Phys. Chem. A 113, 5224 (2009)] that uses maximally localized Wannier functions to evaluate the van der Waals contribution to the…

Materials Science · Physics 2012-06-12 Lampros Andrinopoulos , Nicholas D. M. Hine , Arash A. Mostofi

Recent development on fractional Chern insulators and proximate phases call for a real space representation of isolated Chern bands. Here we propose a new method for a general construction of optimally localized Wannier functions from such…

Mesoscale and Nanoscale Physics · Physics 2024-07-15 Fang Xie , Yuan Fang , Lei Chen , Jennifer Cano , Qimiao Si

Working in the Wannier representation, we derive an expression for the orbital magnetization of a periodic insulator. The magnetization is shown to be comprised of two contributions, an obvious one associated with the internal circulation…

Materials Science · Physics 2007-05-23 T. Thonhauser , Davide Ceresoli , David Vanderbilt , R. Resta

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

We present a simple and general method for construction of localized orbitals to describe electronic structure of extended periodic metals and insulators as well as confined systems. Spatial decay of these orbitals is found to exhibit…

Materials Science · Physics 2007-05-23 Joydeep Bhattacharjee , Umesh V Waghmare

We present a study of the construction and spatial properties of localized Wannier orbitals in large supercells of insulating solids using plane waves as the underlying basis. The Pipek-Mezey (PM) functional in combination with intrinsic…

Chemical Physics · Physics 2025-10-22 Benjamin Wöckinger , Alexander Rumpf , Tobias Schäfer

We present a straightforward, noniterative projection scheme that can represent the electronic ground state of a periodic system on a finite atomic-orbital-like basis, up to a predictable number of electronic states and with controllable…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Luis A. Agapito , Andrea Ferretti , Arrigo Calzolari , Stefano Curtarolo , Marco Buongiorno Nardelli

Real-time, time-dependent density functional theory (RT-TDDFT) has gained popularity as a first-principles approach to study a variety of excited-state phenomena such as optical excitations and electronic stopping. Within RT-TDDFT…

Materials Science · Physics 2019-07-23 Dillon C. Yost , Yi Yao , Yosuke Kanai

The description of realistic strongly correlated systems has recently advanced through the combination of density functional theory in the local density approximation (LDA) and dynamical mean field theory (DMFT). This LDA+DMFT method is…

Strongly Correlated Electrons · Physics 2009-11-13 B. Amadon , F. Lechermann , A. Georges , F. Jollet , T. O. Wehling , A. I. Lichtenstein

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 report on the implementation of the Wannier Functions (WFs) formalism within the full-potential linearized augmented plane wave method (FLAPW), suitable for bulk, film and one-dimensional geometries. The details of the implementation, as…

Materials Science · Physics 2008-07-21 F. Freimuth , Y. Mokrousov , D. Wortmann , S. Heinze , S. Blügel

Quasicrystals are long-range ordered, yet not periodic, and thereby present a fascinating challenge for condensed matter physics, as one cannot resort to the usual toolbox based on Bloch's theorem. Here, we present a numerical method for…

Disordered Systems and Neural Networks · Physics 2023-04-18 Emmanuel Gottlob , Ulrich Schneider

A versatile method for combining density functional theory (DFT) in the local density approximation (LDA) with dynamical mean-field theory (DMFT) is presented. Starting from a general basis-independent formulation, we use Wannier functions…

Strongly Correlated Electrons · Physics 2009-11-11 F. Lechermann , A. Georges , A. Poteryaev , S. Biermann , M. Posternak , A. Yamasaki , O. K. Andersen

There are many ways to numerically represent of chemical systems in order to compute their electronic structure. Basis functions may be localized in real-space (atomic orbitals), in momentum-space (plane waves), or in both components of…

Chemical Physics · Physics 2019-09-09 James Brown , James D. Whitfield

We propose a numerical method using the discrete variable representation (DVR) for constructing real-valued Wannier functions localized in a unit cell for both symmetric and asymmetric periodic potentials. We apply these results to finding…

Quantum Gases · Physics 2016-09-14 Saurabh Paul , Eite Tiesinga

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 review the derivation of the effective Dirac equation for ultracold atoms in one-dimensional bichromatic optical lattices, following the proposal by Witthaut et al. Phys. Rev. A 84, 033601 (2011). We discuss how such a derivation - based…

Quantum Gases · Physics 2014-09-08 Xabier Lopez-Gonzalez , Jacopo Sisti , Giulio Pettini , Michele Modugno

We have constructed maximally-localized Wannier functions for prototype structures of solid molecular hydrogen under pressure, starting from LDA and tight-binding Bloch wave functions. Each occupied Wannier function can be associated with…

Materials Science · Physics 2009-10-31 Ivo Souza , Richard M. Martin , Nicola Marzari , Xinyuan Zhao , David Vanderbilt

We introduce a diagrammatic quantum field formalism for the evaluation of normalized expectation values of operators, and suitable for systems with localized electrons. It is used to develop a convergent series expansion for the energy in…

Other Condensed Matter · Physics 2009-11-13 S. A. Bonev , N. W. Ashcroft