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相关论文: Maximally localized Wannier functions: Theory and …

200 篇论文

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,…

数学物理 · 物理学 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…

材料科学 · 物理学 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…

介观与纳米尺度物理 · 物理学 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…

材料科学 · 物理学 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…

材料科学 · 物理学 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…

材料科学 · 物理学 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…

化学物理 · 物理学 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…

介观与纳米尺度物理 · 物理学 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…

材料科学 · 物理学 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…

强关联电子 · 物理学 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…

材料科学 · 物理学 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…

材料科学 · 物理学 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…

无序系统与神经网络 · 物理学 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…

强关联电子 · 物理学 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…

化学物理 · 物理学 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…

量子气体 · 物理学 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…

材料科学 · 物理学 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…

量子气体 · 物理学 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…

材料科学 · 物理学 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…

其他凝聚态物理 · 物理学 2009-11-13 S. A. Bonev , N. W. Ashcroft