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The construction of Wannier functions from Bloch orbitals offers a unitary freedom that can be exploited to yield Wannier functions with advantageous properties. Minimizing the spatial variance is a well-known choice; another, previously…

材料科学 · 物理学 2026-04-29 Aaron Mahler , Jacob Z. Williams , Neil Qiang Su , Weitao Yang

Wannier functions provide a localized representation of spectral subspaces of periodic Hamiltonians, and play an important role for interpreting and accelerating Hartree-Fock and Kohn-Sham density functional theory calculations in quantum…

计算物理 · 物理学 2018-01-29 Anil Damle , Antoine Levitt , Lin Lin

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…

材料科学 · 物理学 2023-07-03 Taisuke Ozaki

Localized Wannier functions provide an efficient and intuitive means by which to compute dielectric properties from first principles. They are most commonly constructed in a post-processing step, following total-energy minimization.…

材料科学 · 物理学 2012-05-16 David D. O'Regan , Mike C. Payne , Arash A. Mostofi

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

We introduce a new type of Wannier functions (WFs) obtained by minimizing the conventional spread functional with a penalty term proportional to the variance of the spread distribution. This modified Wannierisation scheme is less prone to…

其他凝聚态物理 · 物理学 2021-11-09 Pietro F. Fontana , Ask H. Larsen , Thomas Olsen , Kristian S. Thygesen

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…

材料科学 · 物理学 2025-02-17 Sebastian Tillack , Claudia Draxl

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

Position scaling-eigenfunctions are generated by transforming compactly supported orthonormal scaling functions and utilized for faster alternatives to maximally localized Wannier functions (MLWFs). The position scaling-eigenfunctions are…

介观与纳米尺度物理 · 物理学 2023-12-18 Yuji Hamai , Katsunori Wakabayashi

Using the newly developed VASP2WANNIER90 interface we have constructed maximally localized Wannier functions (MLWFs) for the e_g states of the prototypical Jahn-Teller magnetic perovskite LaMnO3 at different levels of approximation for the…

强关联电子 · 物理学 2015-06-03 C. Franchini , R. Kovacik , M. Marsman , S. Sathyanarayana Murthy , J. He , C. Ederer , G. Kresse

We discuss a method for determining the optimally-localized set of generalized Wannier functions associated with a set of Bloch bands in a crystalline solid. By ``generalized Wannier functions'' we mean a set of localized orthonormal…

材料科学 · 物理学 2009-10-30 Nicola Marzari , David Vanderbilt

To obtain a local description from highly accurate density functional theory codes that are based on modified plane wave bases, a transformation to a local orthonormal Wannier function basis is required. In order to do so while enforcing…

材料科学 · 物理学 2024-03-20 K. Koepernik , O. Janson , Yan Sun , J. van den Brink

We present a method for obtaining well-localized Wannier-like functions (WFs) for energy bands that are attached to or mixed with other bands. The present scheme removes the limitation of the usual maximally-localized WFs method (N. Marzari…

材料科学 · 物理学 2009-11-07 Ivo Souza , Nicola Marzari , David Vanderbilt

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

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

A procedure to construct symmetry-adapted Wannier functions in the framework of the maximally-localized Wannier function approach[Marzari and Vanderbilt, Phys. Rev. B \textbf{56}, 12847 (1997); Souza, Marzari, and Vanderbilt, \textit{ibid.}…

强关联电子 · 物理学 2015-06-16 R. Sakuma

The electronic ground state of a periodic crystalline solid is usually described in terms of extended Bloch orbitals; localized Wannier functions can alternatively be used. These two representations are connected by families of unitary…

材料科学 · 物理学 2009-10-31 Nicola Marzari , David Vanderbilt

Time-dependent Wannier functions were initially proposed as a means for calculating the polarization current in crystals driven by external fields. In this work, we present a simple gauge where Wannier states are defined based on the…

材料科学 · 物理学 2024-10-29 Cristian M. Le , Hannes Hübener , Ofer Neufeld , Angel Rubio

Dynamical Mean Field Theory (DMFT) is a successful method to compute the electronic structure of strongly correlated materials, especially when it is combined with density functional theory (DFT). Here, we present an open-source…

强关联电子 · 物理学 2021-02-03 Vijay Singh , Uthpala Herath , Benny Wah , Xingyu Liao , Aldo H. Romero , Hyowon Park

When using Wannier functions to study the electronic structure of multi-parameter Hamiltonians $H^{(\boldsymbol k,\bf \lambda)}$ carrying a dependence on crystal momentum $\boldsymbol k$ and an additional periodic parameter $\bf\lambda$,…

材料科学 · 物理学 2015-06-11 Jan-Philipp Hanke , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov