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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 present a joint implementation of dynamical-mean-field theory (DMFT) with the pseudopotential plane-wave approach, via Wannier functions, for the determination of the electronic properties of strongly correlated materials. The scheme…

Strongly Correlated Electrons · Physics 2018-08-08 G. Trimarchi , I. Leonov , N. Binggeli , Dm. Korotin , V. I. Anisimov

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…

Materials Science · Physics 2026-05-15 Yuji Hamai , Katsunori Wakabayashi

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

The most general way to describe localized atomic-like electronic states in strongly correlated compounds is to utilize Wannier functions. In the present paper we continue the development of widely-spread DFT+U method onto Wannier function…

Strongly Correlated Electrons · Physics 2015-09-02 D. Novoselov , Dm. M. Korotin , V. I. Anisimov

We report a $k$-point extension of the second-order co-iterative augmented Hessian (CIAH) algorithm, termed $k$-CIAH, for Pipek-Mezey (PM) localization of Wannier functions (WFs). By exploiting an efficient evaluation of the Hessian-vector…

Chemical Physics · Physics 2026-05-14 Gengzhi Yang , Hong-Zhou Ye

We discuss a method for constructing generalized Wannier functions that are maximally localized at the minima of a one-dimensional periodic potential with a double-well per unit cell. By following the approach of (Marzari M and Vanderbilt D…

Quantum Gases · Physics 2013-07-04 Michele Modugno , Giulio Pettini

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

We introduce a maximally-localized Wannier function representation of Bloch excitons, two-particle correlated electron-hole excitations, in crystalline solids, where the excitons are maximally-localized with respect to an average…

Materials Science · Physics 2023-08-08 Jonah B. Haber , Diana Y. Qiu , Felipe H. da Jornada , Jeffrey B. Neaton

With its monoelemental composition, various crystalline forms and an inherently strong spin-orbit coupling, bismuth has been regarded as an ideal prototype material to expand our understanding of topological electronic structures. In…

Computing electron-defect (e-d) interactions from first principles has remained impractical due to computational cost. Here we develop an interpolation scheme based on maximally localized Wannier functions (WFs) to efficiently compute e-d…

Materials Science · Physics 2020-03-19 I-Te Lu , Jinsoo Park , Jin-Jian Zhou , Marco Bernardi

Scanning probe microscopy and spectroscopy, and more recently in combination with electron spin resonance, have allowed the direct observation of electron dynamics on the single-atom limit. The interpretation of data is strongly depending…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 C. Wolf , F. Delgado , J. Reina , N. Lorente

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…

Materials Science · Physics 2009-11-13 Jonathan R. Yates , Xinjie Wang , David Vanderbilt , Ivo Souza

Electronic band structure is a cornerstone of condensed matter physics and materials science. Conventional methods like Wannier interpolation (WI), which are commonly used to interpolate band structures onto dense k-point grids, often…

Materials Science · Physics 2025-06-04 Kai Wu , Yingzhou Li , Wentiao Wu , Lin Lin , Wei Hu , Jinlong Yang

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…

Materials Science · Physics 2009-11-13 Pier Luigi Silvestrelli

Unscreened Hartree-Fock approximation (HFA) calculations for metallic Fe, Co, Ni, and Cu are presented, by using a quantum-chemical approach. We believe that these are the first HFA results to have been done for crystalline 3d transition…

Strongly Correlated Electrons · Physics 2009-11-10 I. Schnell , G. Czycholl , R. C. Albers

We describe a method to calculate the electronic properties of an insulator under an applied electric field. It is based on the minimization of an electric enthalpy functional with respect to the orbitals, which behave as Wannier functions…

Materials Science · Physics 2019-10-22 Pawel Lenarczyk , Mathieu Luisier

Since the seminal work of Marzari and Vanderbilt, maximally localized Wannier functions have become widely used as a real-space representation of the electronic structure of periodic materials. In this paper we introduce selectively…

Strongly Correlated Electrons · Physics 2016-04-08 Runzhi Wang , Emanuel A. Lazar , Hyowon Park , Andrew J. Millis , Chris A. Marianetti

We present a non-standard Hubbard model applicable to arbitrary single-particle potential profiles and inter-particle interactions. Our approach involves a novel treatment of Wannier functions, free from the ambiguities of conventional…

Strongly Correlated Electrons · Physics 2024-05-14 M. Zendra , F. Borgonovi , G. L. Celardo , S. Gurvitz

We present an approach for evaluating Wannier functions, offering an alternative perspective on their role in many-body systems. Unlike traditional methods, such as the maximally localized Wannier functions approach, which focuses on…

Strongly Correlated Electrons · Physics 2025-01-09 Matteo Zendra , Fausto Borgonovi , Giuseppe Luca Celardo , Shmuel Gurvitz