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Using muffin-tin orbital (MTO) based NMTO-downfolding procedure within the framework of local density approximation, we construct the Wannier orbitals for the $t_{2g}$ manifold of bands in V2O3 in the paramagnetic phase. The real space…

材料科学 · 物理学 2009-07-17 T. Saha-Dasgupta , O. K. Andersen , J. Nuss , A. I. Poteryaev , A. Georges , A. I. Lichtenstein

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

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

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

Typical Wannier-function downfolding starts with a mean-field or density functional set of bands to construct the Wannier functions. Here we carry out a controlled approach, using DMRG-computed natural orbital bands, to downfold the…

强关联电子 · 物理学 2023-10-25 Shengtao Jiang , Douglas J. Scalapino , Steven R. White

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

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

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

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

We propose a computational scheme for the ab initio calculation of Wannier functions (WFs) for correlated electronic materials. The full-orbital Hamiltonian H is projected into the WF subspace defined by the physically most relevant…

Maximally-localized Wannier functions (MLWFs) are a powerful and broadly used tool to characterize the electronic structure of materials, from chemical bonding to dielectric response to topological properties. Most generally, one can…

计算物理 · 物理学 2023-11-07 Junfeng Qiao , Giovanni Pizzi , Nicola Marzari

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

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

Wannier functions have widespread utility in condensed matter physics and beyond. Topological physics, on the other hand, has largely involved the related notion of compactly-supported Wannier-type functions, which arise naturally in flat…

介观与纳米尺度物理 · 物理学 2025-05-21 Pratik Sathe , Rahul Roy

We consider spaces of trial wavefunctions for ground states and edge excitations in the fractional quantum Hall effect that can be obtained in various ways. In one way, functions are obtained by analyzing the entanglement of the ground…

介观与纳米尺度物理 · 物理学 2013-09-04 T. S. Jackson , N. Read , S. H. Simon

We use maximally localized Wannier functions to construct tight-binding (TB) parameterizations for the e_g bands of LaMnO_3 based on first principles electronic structure calculations. We compare two different ways to represent the relevant…

强关联电子 · 物理学 2013-05-29 Roman Kovacik , Claude Ederer

We present a robust algorithm that computes (maximally localized) Wannier functions (WFs) without the need of providing an initial guess. Instead, a suitable starting point is constructed automatically from so-called local orbitals which…

材料科学 · 物理学 2020-07-01 Sebastian Tillack , Andris Gulans , Claudia Draxl

Bands with non-trivial topological indices have a topological obstruction preventing them from being represented by exponentially localized Wannier states. Here, we propose a procedure to construct exponentially localized Wannier functions…

介观与纳米尺度物理 · 物理学 2025-05-29 Trey Cole , David Vanderbilt

The projection of the eigenfunctions obtained in standard plane-wave first-principle electronic-structure calculations into atomic-orbital basis sets is proposed as a formal and practical link between the methods based on plane waves and…

凝聚态物理 · 物理学 2009-10-28 Daniel Sanchez-Portal , Emilio Artacho , Jose M. Soler

A new method for calculation of band structure has been proposed based on the Green's function theory and local sampling. Potential energy in the Hamiltonian of Schrodinger's equation is approximated with a series of sampled Dirac delta…

介观与纳米尺度物理 · 物理学 2010-02-24 Milad Khoshnegar , Sina Khorasani , Amirhossein Hosseinnia
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