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Related papers: Wannier function localisation using Bloch intrinsi…

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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…

Materials Science · Physics 2009-11-07 Ivo Souza , Nicola Marzari , David Vanderbilt

In the field of orbital dynamics and orbital transport, a particularly important quantity is the so-called orbital Hall conductivity (OHC), which is expressed in terms of operators of velocity and orbital angular momentum (OAM). To overcome…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Mirco Sastges , Insu Baek , Hojun Lee , Hyun-Woo Lee , Yuriy Mokrousov , Dongwook Go

We formulate Wannier orbital overlap population and Wannier orbital Hamilton population to describe the contribution of different orbitals to electron distribution and their interactions. These methods, which are analogous to the well known…

Computational Physics · Physics 2021-03-31 Sudipta Kundu , Satadeep Bhattacharjee , Seung-Cheol Lee , Manish Jain

We present a technique for partitioning the total energy from a semi-local density functional theory calculation into contributions from individual electronic states in a localized Wannier basis. We use our technique to reveal the key role…

Materials Science · Physics 2025-10-15 Ethan T. Ritz , Guru Khalsa , Hsin-Yu Ko , Ju-an Zhang , Robert A. DiStasio , Nicole A. Benedek

We use the maximally-localized Wannier function method to study bonding properties in amorphous silicon. This study represents, to our knowledge, the first application of the Wannier-function analysis to a disordered system. Our results…

Materials Science · Physics 2009-10-31 Pier Luigi Silvestrelli , Nicola Marzari , David Vanderbilt , Michele Parrinello

Based on ab initio software packages using nonorthogonal localized orbitals, we develop a general scheme of calculating response functions. We test the performance of this method by calculating nonlinear optical responses of materials, like…

Materials Science · Physics 2019-09-05 Chong Wang , Sibo Zhao , Xiaomi Guo , Xinguo Ren , Bing-Lin Gu , Yong Xu , Wenhui Duan

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

We consider a periodic Schroedinger operator and the composite Wannier functions corresponding to a relevant family of its Bloch bands, separated by a gap from the rest of the spectrum. We study the associated localization functional…

Mathematical Physics · Physics 2013-09-26 Gianluca Panati , Adriano Pisante

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.…

Materials Science · Physics 2012-05-16 David D. O'Regan , Mike C. Payne , Arash A. Mostofi

The construction of optimally localized Wannier functions (and Wannier functions in general) for a Chern insulator has been considered to be impossible owing to the fact that the second moment of such functions is generally infinite. In…

Materials Science · Physics 2024-04-12 Thivan M. Gunawardana , Ari M. Turner , Ryan Barnett

Molecular dipole moment in liquid water is an intriguing property, partly due to the fact that there is no unique way to partition the total electron density into individual molecular contributions. The prevailing method to circumvent this…

Chemical Physics · Physics 2021-05-17 Lisanne Knijff , Chao Zhang

We introduce a Wannier-type formulation of periodic local vibrational mode theory that yields real-space-localized vibrational modes associated with individual internal coordinates in crystalline solids. These modes are constructed as…

Materials Science · Physics 2026-05-12 Mateusz Mojsak , Elfi Kraka , Adam A. L. Michalchuk

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…

Mathematical Physics · Physics 2019-08-21 Horia D. Cornean , Domenico Monaco , Massimo Moscolari

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…

Materials Science · Physics 2009-07-17 T. Saha-Dasgupta , O. K. Andersen , J. Nuss , A. I. Poteryaev , A. Georges , A. I. Lichtenstein

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…

Materials Science · Physics 2011-08-30 Cheol-Hwan Park , Andrea Ferretti , Ismaila Dabo , Nicolas Poilvert , Nicola Marzari

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

Maximally localized Wannier functions (MLWFs) are widely used to construct first-principles tight-binding models that accurately reproduce the electronic structure of materials. Recently, robust and automated approaches to generate these…

Computational Physics · Physics 2023-11-02 Junfeng Qiao , Giovanni Pizzi , Nicola Marzari

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…

Materials Science · Physics 2017-12-11 Bakhta Athmane , Cancès Eric , Cazeaux Paul , Fang Shiang , Kaxiras Efthimios

Recent studies have theoretically investigated the atomic excitation and ionization induced by the dark matter (DM)-nucleus scattering, and it is found that the suddenly recoiled atom is much more likely to excite or lose its electrons than…

Mesoscale and Nanoscale Physics · Physics 2020-08-27 Zheng-Liang Liang , Lin Zhang , Fawei Zheng , Ping Zhang

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…

Chemical Physics · Physics 2024-03-28 Guy Ohad , Michal Hartstein , Tim Gould , Jeffrey B. Neaton , Leeor Kronik