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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 present a self-consistent, real-space calculation of the Wannier functions of Si and GaAs within density functional theory. We minimize the total energy functional with respect to orbitals which behave as Wannier functions under crystal…

材料科学 · 物理学 2009-10-28 Pablo Fernández , Andrea Dal Corso , Francesco Mauri , Alfonso Baldereschi

We propose a greedy algorithm for the compression of Wannier functions into Gaussian-polynomials orbitals. The so-obtained compressed Wannier functions can be stored in a very compact form, and can be used to efficiently parameterize…

材料科学 · 物理学 2017-12-11 Bakhta Athmane , Cancès Eric , Cazeaux Paul , Fang Shiang , Kaxiras Efthimios

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;…

无序系统与神经网络 · 物理学 2015-12-24 Junbo Zhu , Zhu Chen , Biao Wu

We present a new variational model for computing the electronic first-order density matrix of a crystalline material in presence of a local defect. A natural way to obtain variational discretizations of this model is to expand the…

其他凝聚态物理 · 物理学 2009-11-13 Eric Cances , Amelie Deleurence , Mathieu Lewin

A quantum phase space with Wannier basis is constructed: (i) classical phase space is divided into Planck cells; (ii) a complete set of Wannier functions are constructed with the combination of Kohn's method and L\"owdin method such that…

量子物理 · 物理学 2018-03-02 Yuan Fang , Fan Wu , Biao Wu

The ionization potential of molecular chains is well-known to be a tunable nano-scale property that exhibits clear quantum confinement effects. State-of-the-art methods can accurately predict the ionization potential in the small molecule…

化学物理 · 物理学 2024-03-28 Guy Ohad , Michal Hartstein , Tim Gould , Jeffrey B. Neaton , Leeor Kronik

We present an efficient first-principles approach for calculating Fermi surface averages and spectral properties of solids, and use it to compute the low-field Hall coefficient of several cubic metals and the magnetic circular dichroism of…

材料科学 · 物理学 2009-11-13 Jonathan R. Yates , Xinjie Wang , David Vanderbilt , Ivo Souza

Motivated by the analysis of gapped periodic quantum systems in presence of a uniform magnetic field in dimension $d \le 3$, we study the possibility to construct spanning sets of exponentially localized (generalized) Wannier functions for…

数学物理 · 物理学 2019-08-21 Horia D. Cornean , Domenico Monaco , Massimo Moscolari

We investigate the possibility of constructing exponentially localized composite Wannier bases, or equivalently smooth periodic Bloch frames, for 3-dimensional time-reversal symmetric topological insulators, both of bosonic and of fermionic…

数学物理 · 物理学 2017-11-16 Horia D. Cornean , Domenico Monaco

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…

材料科学 · 物理学 2026-05-15 Yuji Hamai , Katsunori Wakabayashi

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…

材料科学 · 物理学 2009-11-13 Pier Luigi Silvestrelli

We provide a mathematically proven, simple and efficient algorithm to build localised Wannier functions, with the only requirement that the system has vanishing Chern numbers. Our algorithm is able to build localised Wannier for topological…

数学物理 · 物理学 2019-03-27 David Gontier , Antoine Levitt , Sami Siraj-Dine

Wannier functions that are maximally localized help in understanding many properties of crystalline materials. In the absence of topological obstructions, they are at least exponentially localized. In some cases such as flat-band…

介观与纳米尺度物理 · 物理学 2021-07-30 Pratik Sathe , Fenner Harper , Rahul Roy

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…

材料科学 · 物理学 2007-05-23 M. Fornari , N. Marzari , M. Peressi , A. Baldereschi

Wannier interpolation is a powerful tool for performing Brillouin zone integrals over dense grids of $\mathbf{k}$ points, which are essential to evaluate such quantities as the intrinsic anomalous Hall conductivity or Boltzmann transport…

材料科学 · 物理学 2021-02-22 Stepan S. Tsirkin

The theory for the generation of Wannier functions within the generalized Pipek--Mezey approach [Lehtola, S.; J\'onsson, H. J. Chem. Theory Comput. 2014, 10, 642] is presented and an implementation thereof is described. Results are…

材料科学 · 物理学 2017-02-15 Elvar Ö. Jónsson , Susi Lehtola , Martti Puska , Hannes Jónsson

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…

材料科学 · 物理学 2011-08-30 Cheol-Hwan Park , Andrea Ferretti , Ismaila Dabo , Nicolas Poilvert , Nicola Marzari

We provide a new variational definition for the spread of an orbital under periodic boundary conditions (PBCs) that is continuous with respect to the gauge, consistent in the thermodynamic limit, well-suited to diffuse orbitals, and…

材料科学 · 物理学 2023-05-18 Kangbo Li , Hsin-Yu Ko , Robert A. DiStasio , Anil Damle

We introduce an automated workflow for generating non-empirical Wannier-localized optimally-tuned screened range-separated hybrid (WOT-SRSH) functionals. WOT-SRSH functionals have been shown to yield highly accurate fundamental band gaps,…