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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 localization problem in a wireless sensor network is to determine the coordination of sensor nodes using the known positions of some nodes (called anchors) and corresponding noisy distance measurements. There is a variety of different…

Optimization and Control · Mathematics 2014-09-19 Pouya Mollaebrahim Ghari , Reza Shahbazian , Seyed Ali Ghorashi

Wannier functions that are maximally localized help in understanding many properties of crystalline materials. In the absence of topological obstructions, they are at least exponentially localized. In some cases such as flat-band…

Mesoscale and Nanoscale Physics · Physics 2021-07-30 Pratik Sathe , Fenner Harper , Rahul Roy

The electronic ground state of a periodic crystalline solid is usually described in terms of extended Bloch orbitals; localized Wannier functions can alternatively be used. These two representations are connected by families of unitary…

Materials Science · Physics 2009-10-31 Nicola Marzari , David Vanderbilt

In this paper, we propose a Network-Weighted Functional Regression (NWFR) model, an extension of Spatially Weighted Functional Regression (SWFR) to functional data defined on network-structured settings. To asses predictive uncertainity, we…

Methodology · Statistics 2025-06-02 Elvira Romano , Antonio Irpino , Claire Miller

We derived explicit expressions of symmetry operators on Wannier basis, and implemented these operators in WannSymm software. Based on this implementation, WannSymm can i) symmetrize the real-space Hamiltonian output from Wannier90 code,…

Materials Science · Physics 2021-10-29 Guo-Xiang Zhi , Chenchao Xu , Si-Qi Wu , Fanlong Ning , Chao Cao

Maximally localized Wannier functions are the key tool for a variety of physical applications of Bloch states. Here we develop a simple and exact procedure to construct maximally localized Wannier functions for one dimensional periodic…

Strongly Correlated Electrons · Physics 2014-12-12 Yuri Lensky , Colin Kennedy

High quality, repeatable point-spread functions are important for science cases like direct exoplanet imaging, high-precision astrometry, and high-resolution spectroscopy of exoplanets. For such demanding applications, the initial on-sky…

Instrumentation and Methods for Astrophysics · Physics 2021-07-19 Steven P. Bos , Michael Bottom , Sam Ragland , Jacques-Robert Delorme , Sylvain Cetre , Laurent Pueyo

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

Localized Wannier functions provide an efficient and intuitive framework to compute electric polarization from first-principles. They can also be used to represent the electronic systems at fixed electric field and to determine dielectric…

Materials Science · Physics 2020-01-28 Pawel Lenarczyk , Mathieu Luisier

The nontrivial evolution of Wannier functions (WF) for the occupied bands is a good starting point to understand topological insulator. By modifying the definition of WFs from the eigenstates of the projected position operator to those of…

Quantum Gases · Physics 2015-04-24 Ye Xiong , Peiqing Tong

We describe and implement a first-principles algorithm based on maximally-localized Wannier functions for calculating the shift-current response of piezoelectric crystals in the independent-particle approximation. The proposed algorithm…

Materials Science · Physics 2018-06-29 Julen Ibañez-Azpiroz , Stepan S. Tsirkin , Ivo Souza

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,…

Within the expansive domain of optical sciences, achieving the precise characterization of light beams stands as a fundamental pursuit, pivotal for various applications, including telecommunications and imaging technologies. This study…

We consider the problem of soft decision fusion in a bandwidth-constrained wireless sensor network (WSN). The WSN is tasked with the detection of an intruder transmitting an unknown signal over a fading channel. A binary hypothesis testing…

Information Theory · Computer Science 2015-06-04 Edmond Nurellari , Sami Aldalahmeh , Mounir Ghogho , Des McLernon

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

We have calculated the maximally-localized Wannier functions of MnO in its antiferromagnetic (AFM) rhombohedral unit cell, which contains two formula units. Electron Bloch functions are obtained with the linearized augmented plane-wave…

Materials Science · Physics 2009-11-07 Michel Posternak , Alfonso Baldereschi , Sandro Massidda , Nicola Marzari

Orbital magnetic susceptibility involves rich physics such as interband effects despite of its conceptual simplicity. In order to appreciate the rich physics related to the orbital magnetic susceptibility, it is essential to derive a…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 Toshikaze Kariyado , Hiroyasu Matsuura , Masao Ogata

We propose an algorithm for the Wireless Sensor Network localization problem, which is based on the well-known algorithmic framework of Alternating Minimization. We start with a non-smooth and non-convex minimization, and transform it into…

Networking and Internet Architecture · Computer Science 2020-12-30 Eyal Gur , Shoham Sabach , Shimrit Shtern

Sensor nodes are low cost, low power devices that are used to collect physical data and monitor environmental conditions from remote locations. Wireless Sensor Networks(WSN) are collection of sensor nodes, coordinating among themselves to…

Networking and Internet Architecture · Computer Science 2013-03-18 Deepali Virmani , Satbir Jain