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We have constructed maximally-localized Wannier functions for prototype structures of solid molecular hydrogen under pressure, starting from LDA and tight-binding Bloch wave functions. Each occupied Wannier function can be associated with…

Materials Science · Physics 2009-10-31 Ivo Souza , Richard M. Martin , Nicola Marzari , Xinyuan Zhao , David Vanderbilt

We investigate the work function (WF) variation of different Au crystallographic surface orientations with carbon atom adsorption. Ab-initio calculations within density-functional theory are performed on carbon deposited (100), (110), and…

Chemical Physics · Physics 2019-04-18 H. Z. Jooya , X. Fan , K. S. McKay , D. P. Pappas , D. A. Hite , H. R. Sadeghpour

An ab initio Hartree-Fock approach aimed at directly obtaining the localized orthogonal orbitals (Wannier functions) of a crystalline insulator is described in detail. The method is used to perform all-electron calculations on the ground…

Condensed Matter · Physics 2009-10-30 Alok Shukla , Michael Dolg , Peter Fulde , Hermann Stoll

This work is devoted to incorporating into QFT the notion that particles and hence the particle states should be localizable in space. It focuses on the case of the Dirac field in 1+1 dimensional flat spacetime, generalizing a recently…

Quantum Physics · Physics 2016-09-23 Aleksander M. Kubicki , Hans Westman , Juan Leon

First-principles density functional theory (DFT) codes which employ a localized basis offer advantages over those which use plane-wave bases, such as better scaling with system size and better suitability to low-dimensional systems. The…

Materials Science · Physics 2024-11-25 Daniel Bennett , Michele Pizzochero , Javier Junquera , Efthimios Kaxiras

A quantum phase space with Wannier basis is constructed: (i) classical phase space is divided into Planck cells; (ii) a complete set of Wannier functions are constructed with the combination of Kohn's method and L\"owdin method such that…

Quantum Physics · Physics 2018-03-02 Yuan Fang , Fan Wu , Biao Wu

The Frank-Wolfe (FW) method is a popular algorithm for solving large-scale convex optimization problems appearing in structured statistical learning. However, the traditional Frank-Wolfe method can only be applied when the feasible region…

Optimization and Control · Mathematics 2021-10-11 Haoyue Wang , Haihao Lu , Rahul Mazumder

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

Real-time, time-dependent density functional theory (RT-TDDFT) has gained popularity as a first-principles approach to study a variety of excited-state phenomena such as optical excitations and electronic stopping. Within RT-TDDFT…

Materials Science · Physics 2019-07-23 Dillon C. Yost , Yi Yao , Yosuke Kanai

Many new types of sensing or imaging surfaces are based on periodic thin films. It is explained how the response of those surfaces to partially coherent fields can be fully characterized by a set of functions in the wavenumber spectrum…

Topological phases, such as Chern insulators, are defined in terms of additive indices that are stable against the addition of trivial degrees of freedom. Such topology presents an obstruction to any Wannier representation, namely, the…

Mesoscale and Nanoscale Physics · Physics 2018-09-20 Hoi Chun Po , Haruki Watanabe , Ashvin Vishwanath

A previously proposed computational procedure for constructing a set of nonorthogonal strongly localised one-electron molecular orbitals (O. Danyliv, L. Kantorovich - physics/0401107) is applied to a perfect $\alpha$-quartz crystal…

Chemical Physics · Physics 2009-11-10 Oleh Danyliv , Lev Kantorovich

Many localization algorithms and systems have been developed by means of wireless sensor networks for both indoor and outdoor environments. To achieve higher localization accuracy, extra hardware equipments are utilized by most of the…

Networking and Internet Architecture · Computer Science 2016-11-17 Tao Huang , Zhikui Chen , Feng Xia , Cheng Jin , Liang Li

We designed ordered and disordered silicon (Si) nanowire structures and analyzed their optical performance using the finite-difference time-domain (FDTD) technique. We studied the orderness of nanowire structures by calculating scalar…

Cooperative localization for indoor WiFi networks have received little attention thus far. Many cooperative location algorithms exist for Wireless Sensor Network Applications but their suitability for WiFi based networks has not been…

Signal Processing · Electrical Eng. & Systems 2018-01-11 Ebtesam Almazrouei , Nazar Ali , Saleh Al-Araji

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

Local density approximation (LDA) to the density functional theory (DFT) has continuous derivative of total energy as a number of electrons function and continuous exchange-correlation potential, while in exact DFT both should be…

Strongly Correlated Electrons · Physics 2010-06-28 V. I. Anisimov , A. V. Kozhevnikov , M. A. Korotin , A. V. Lukoyanov , D. A. Khafizullin

Stochastic density functional theory (sDFT) is becoming a valuable tool for studying ground state properties of extended materials. The computational complexity of describing the Kohn-Sham orbitals is replaced by introducing a set of random…

Chemical Physics · Physics 2021-06-16 Ming Chen , Roi Baer , Daniel Neuhauser , Eran Rabani

The description of realistic strongly correlated systems has recently advanced through the combination of density functional theory in the local density approximation (LDA) and dynamical mean field theory (DMFT). This LDA+DMFT method is…

Strongly Correlated Electrons · Physics 2009-11-13 B. Amadon , F. Lechermann , A. Georges , F. Jollet , T. O. Wehling , A. I. Lichtenstein

In this work, we propose using a unified representation, termed Factorized Features, for low-level vision tasks, where we test on Single Image Super-Resolution (SISR) and \textbf{Image Compression}. Motivated by the shared principles…

Image and Video Processing · Electrical Eng. & Systems 2025-11-04 Yang-Che Sun , Cheng Yu Yeo , Ernie Chu , Jun-Cheng Chen , Yu-Lun Liu