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Wave function (WF) in density functional theory (DFT) embedding methods provide a framework for performing localized, high accuracy WF calculations on a system, while not incurring the full computational cost of the WF calculation on the…

Chemical Physics · Physics 2019-12-02 Daniel S. Graham , Xuelan Wen , Dhabih V. Chulhai , Jason D. Goodpaster

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…

Strongly Correlated Electrons · Physics 2013-05-29 Roman Kovacik , Claude Ederer

Submodular function minimization is a fundamental optimization problem that arises in several applications in machine learning and computer vision. The problem is known to be solvable in polynomial time, but general purpose algorithms have…

Machine Learning · Computer Science 2015-02-10 Alina Ene , Huy L. Nguyen

In many applications of tomography, the acquired projections are either limited in number or contain a significant amount of noise. In these cases, standard reconstruction methods tend to produce artifacts that can make further analysis…

Numerical Analysis · Mathematics 2016-04-11 D. M. Pelt , K. J. Batenburg

Wireless localization is a key requirement for many applications. It concerns position estimation of mobile nodes (agents) relative to fixed nodes (anchors) from wireless channel measurements. Cooperative localization is an advanced concept…

Signal Processing · Electrical Eng. & Systems 2022-06-08 Henry Schulten , Gregor Dumphart , Antonios Koskinas , Armin Wittneben

Motivated by comparing the convergence behavior of Gegenbauer projections and best approximations, we study the optimal rate of convergence for Gegenbauer projections in the maximum norm. We show that the rate of convergence of Gegenbauer…

Numerical Analysis · Mathematics 2023-12-15 Haiyong Wang

In this work, we present a wireless localization method that operates on self-supervised and unlabeled channel estimates. Our self-supervising method learns general-purpose channel features robust to fading and system impairments. Learned…

Signal Processing · Electrical Eng. & Systems 2023-02-15 Artan Salihu , Stefan Schwarz , Markus Rupp

The paper presents the group theory of best localized and symmetry-adapted Wannier functions in a crystal of any given space group G or magnetic group M. Provided that the calculated band structure of the considered material is given and…

Strongly Correlated Electrons · Physics 2015-05-22 Ekkehard Krüger , Horst P. Strunk

The practice of collider physics typically involves the marginalization of multi-dimensional collider data to uni-dimensional observables relevant for some physics task. In any cases, such as classification or anomaly detection, the…

High Energy Physics - Phenomenology · Physics 2026-03-26 Arindam Bhattacharya , Katherine Fraser , Matthew D. Schwartz

We present a formulation of the density-functional theory + Hubbard model (DFT+U) method that is self-consistent over the choice of Hubbard projectors used to define the correlated subspaces. In order to overcome the arbitrariness in this…

Materials Science · Physics 2015-03-17 David D. O'Regan , Nicholas D. M. Hine , Mike C. Payne , Arash A. Mostofi

We have developed a method to construct a symmetry-adapted Wannier tight-binding model based on the closest Wannier formalism and the symmetry-adapted multipole theory. Since the symmetry properties of the closest Wannier functions are…

Materials Science · Physics 2025-07-11 Rikuto Oiwa , Akane Inda , Satoru Hayami , Takuya Nomoto , Ryotaro Arita , Hiroaki Kusunose

Spatially localized one-electron orbitals, orthogonal and nonorthogonal, are widely used in electronic structure theory to describe chemical bonding and speed up calculations. In order to avoid linear dependencies of localized orbitals, the…

Chemical Physics · Physics 2020-03-04 Ziling Luo , Rustam Z. Khaliullin

EPW (Electron-Phonon coupling using Wannier functions) is a program written in FORTRAN90 for calculating the electron-phonon coupling in periodic systems using density-functional perturbation theory and maximally-localized Wannier…

Other Condensed Matter · Physics 2015-05-19 Jesse Noffsinger , Feliciano Giustino , Brad D. Malone , Cheol-Hwan Park , Steven G. Louie , Marvin L. Cohen

We propose a method to construct localized single particle wave functions using imaginary time projection and thereby determine lattice Hamiltonian parameters. We apply the method to a specific disordered potential generated by an optical…

Disordered Systems and Neural Networks · Physics 2013-05-29 S. Q. Zhou , D. M. Ceperley

Eigenfunctions of 1d disordered Hamiltonian with constant imaginary vector potential are investigated. Even within the domain of complex eigenvalues the wave functions are shown to be strongly localized. However, this localization is of a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov

Ab initio wavefunction based methods are applied to the study of electron correlation effects on the band structure of oxide systems. We choose MgO as a prototype closed-shell ionic oxide. Our analysis is based on a local Hamiltonian…

Materials Science · Physics 2007-08-13 L. Hozoi , U. Birkenheuer , P. Fulde , A. Mitrushchenkov , H. Stoll

We introduce an automated workflow for generating non-empirical Wannier-localized optimally-tuned screened range-separated hybrid (WOT-SRSH) functionals. WOT-SRSH functionals have been shown to yield highly accurate fundamental band gaps,…

There exist efficient algorithms to project a point onto the intersection of a convex cone and an affine subspace. Those conic projections are in turn the work-horse of a range of algorithms in conic optimization, having a variety of…

Optimization and Control · Mathematics 2011-03-09 Didier Henrion , Jérôme Malick

Wannier tight-binding models are effective models constructed from first-principles calculations. As such, they bridge a gap between the accuracy of first-principles calculations and the computational simplicity of effective models. In this…

In pursuit of a minimal basis for systems with non-ideal bond angles, in this work we try to pinpoint the exact orientation of the major overlapping orbitals along the nearest neighbouring coordination segments in a given system such that…

Materials Science · Physics 2022-09-14 Joydev De , Sujith N S , Manoar Hossain , Joydeep Bhattacharjee