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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…

Mesoscale and Nanoscale Physics · Physics 2025-05-29 Trey Cole , David Vanderbilt

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;…

Disordered Systems and Neural Networks · Physics 2015-12-24 Junbo Zhu , Zhu Chen , Biao Wu

The method recently developed to include Van der Waals interactions in the Density Functional Theory by using the Maximally-Localized Wannier functions, is improved and extended to the case of atoms and fragments weakly bonded (physisorbed)…

Other Condensed Matter · Physics 2009-11-13 Pier Luigi Silvestrelli , Karima Benyahia , Sonja Grubisic Francesco Ancilotto , Flavio Toigo

A new implementation is proposed for including van der Waals (vdW) interactions in Density Functional Theory (DFT) using the Maximally-Localized Wannier functions (MLWFs), which is free from empirical parameters. With respect to the…

Chemical Physics · Physics 2019-05-22 Pier Luigi Silvestrelli , Alberto Ambrosetti

To achieve a maximal locality in a trivial field theory, we maximize the ultraviolet cutoff of the theory by fine tuning the infrared values of the parameters. This optimization procedure is applied to the scalar theory in $D+1$ dimensions…

High Energy Physics - Theory · Physics 2009-11-10 Jisuke Kubo , Masanori Nunami

We present a computational scheme for orbital-free density functional theory (OFDFT) that simultaneously provides access to all-electron values and preserves the OFDFT linear scaling as a function of the system size. Using the projector…

Computational Physics · Physics 2014-12-23 J. Lehtomäki , I. Makkonen , M. A. Caro , A. Harju , O. Lopez-Acevedo

We have developed an efficient computational scheme utilizing the real-space finite-difference formalism and the projector augmented-wave (PAW) method to perform precise first-principles electronic-structure simulations based on the density…

This paper investigates the mean square error optimal estimation of scale invariant Wigner spectrum for the class of Gaussian locally self-similar processes, by the multitaper method. In this method, the spectrum is estimated as a weighted…

Probability · Mathematics 2017-12-11 Yasaman Maleki

We present first-principles calculations of optimally localized Wannier functions for Cu and use these for an ab-initio determination of Hubbard (Coulomb) matrix elements. We use a standard linearized muffin-tin orbital calculation in the…

Strongly Correlated Electrons · Physics 2009-11-07 I. schnell , G. Czycholl , R. C. Albers

Superoscillatory wave forms, i.e., waves that locally oscillate faster than their highest Fourier component, possess unusual properties that make them of great interest from quantum mechanics to signal processing. However, the more…

Mathematical Physics · Physics 2016-08-03 Eugene Tang , Lovneesh Garg , Achim Kempf

A robust, user-friendly, and automated method to determine quantum conductance in disordered quasi-one-dimensional systems is presented. The scheme relies upon an initial density- functional theory calculation in a specific geometry after…

Computational Physics · Physics 2015-03-17 Matthew Shelley , Nicolas Poilvert , Arash A Mostofi , Nicola Marzari

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 present a first-principles calculation of the electronic properties of crystalline silicon and gallium arsenide in a uniform electric field. Polarized Wannier-like functions which are confined in a finite region are obtained by…

Materials Science · Physics 2007-05-23 Pablo Fernández , Andrea Dal Corso , Alfonso Baldereschi

Local pseudopotential (LPP) is an important component of the orbital free density functional theory (OF-DFT), which is a promising large scale simulation method that can still maintain information of electron state in materials. Up to date,…

Materials Science · Physics 2015-03-11 Wenhui Mi , Shoutao Zhang , Yanming Ma , Maosheng Miao

We present a new scheme for the construction of highly localized lattice Wannier functions. The approach is based on a heuristic criterion for localization and takes the symmetry constraints into account from the start. We compare the local…

Materials Science · Physics 2009-10-31 Jorge Iniguez , Alberto Garcia , J. M. Perez-Mato

We describe a robust method for determining Pipek-Mezey (PM) Wannier functions (WF), recently introduced by J\'onsson et al. (J. Chem. Theor. Chem. 2017, 13, 460), which provide some formal advantages over the more common Boys (also known…

Chemical Physics · Physics 2024-07-30 Marjory C. Clement , Xiao Wang , Edward F. Valeev

In this paper, we propose an efficient implementation of combining Dynamical Mean field theory (DMFT) with electronic structure calculation based on the local density approximation (LDA). The pseudo-potential-plane-wave method is used in…

Strongly Correlated Electrons · Physics 2015-06-03 Jian-Zhou Zhao , Jia-Ning Zhuang , Xiao-Yu Deng , Yan Bi , Ling-Cang Cai , Zhong Fang , Xi Dai

We propose a method for calculating Wannier functions of periodic solids directly from a modified variational principle for the energy, subject to the requirement that the Wannier functions are orthogonal to all their translations…

Materials Science · Physics 2014-03-28 Farzin Barekat , Ke Yin , Russel E. Caflisch , Stanley J. Osher , Rongjie Lai , Vidvuds Ozolins

In this paper, we propose a novel approach that harnesses the standard interference function, specifically tailored to address the unique challenges of non-convex optimization in wireless networks. We begin by establishing theoretical…

Information Theory · Computer Science 2025-01-23 Jan Christian Hauffen , Chee Wei Tan , Giuseppe Caire

We introduce a scheme for constructing partly occupied, maximally localized Wannier functions (WFs) for both molecular and periodic systems. Compared to the traditional occupied WFs the partly occupied WFs posses improved symmetry and…

Materials Science · Physics 2009-11-10 K. S. Thygesen , L. B. Hansen , K. W. Jacobsen