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Related papers: Wien2wannier: From linearized augmented plane wave…

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We present a study of the construction and spatial properties of localized Wannier orbitals in large supercells of insulating solids using plane waves as the underlying basis. The Pipek-Mezey (PM) functional in combination with intrinsic…

Chemical Physics · Physics 2025-10-22 Benjamin Wöckinger , Alexander Rumpf , Tobias Schäfer

Available laser technology is opening the possibility of testing QED experimentally in the so-called strong-field regime. This calls for developing theoretical tools to investigate strong-field QED processes in electromagnetic fields of…

High Energy Physics - Phenomenology · Physics 2023-05-23 A. Di Piazza

Full Waveform Inversion (FWI) stands as a nonlinear, high-resolution technology for subsurface imaging via surface-recorded data. This paper introduces an augmented Lagrangian dual formulation for FWI, rooted in the viewpoint that Lagrange…

Geophysics · Physics 2024-12-13 Kamal Aghazade , Ali Gholami

Thanks to the nearsightedness principle, the low-energy electronic structure of solids can be represented by localized states such as the Wannier functions. Wannier functions are actively being applied to a wide range of phenomena in…

Materials Science · Physics 2021-12-22 Jae-Mo Lihm , Cheol-Hwan Park

Millimeter-wave links are of a line-of-sight nature. Hence, multiple-input multiple-output (MIMO) systems operating in the millimeter-wave band may not achieve full spatial diversity or multiplexing. In this paper, we utilize reconfigurable…

Information Theory · Computer Science 2015-05-26 Vida Vakilian , Hani Mehrpouyan , Yingbo Hua , Hamid Jafarkhani

We have adapted the maximally-localized Wannier function approach of [I. Souza, N. Marzari and D. Vanderbilt, Phys. Rev. B 65, 035109 (2002)] to the density functional theory based Siesta method [J. M. Soler et al., J. Phys.: Cond. Mat. 14,…

Strongly Correlated Electrons · Physics 2015-05-14 Richard Korytár , Miguel Pruneda , Javier Junquera , Pablo Ordejón , Nicolás Lorente

Exponentially-localized Wannier functions are a basis of the Fermi projection of a Hamiltonian consisting of functions which decay exponentially fast in space. In two and three spatial dimensions, it is well understood for periodic…

Mathematical Physics · Physics 2022-02-03 Jianfeng Lu , Kevin D. Stubbs

When using Wannier functions to study the electronic structure of multi-parameter Hamiltonians $H^{(\boldsymbol k,\bf \lambda)}$ carrying a dependence on crystal momentum $\boldsymbol k$ and an additional periodic parameter $\bf\lambda$,…

Materials Science · Physics 2015-06-11 Jan-Philipp Hanke , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

It is proved that for general, not necessarily periodic quasi one dimensional systems, the band position operator corresponding to an isolated part of the energy spectrum has discrete spectrum and its eigenfunctions have the same spatial…

Other Condensed Matter · Physics 2008-03-11 H. D. Cornean , A. Nenciu , G. Nenciu

In this paper the salient features of the Plane Wave Expansion (PWE) method and the mixed variational technique are combined for the fast eigenvalue computations of arbitrarily complex phononic unit cells. This is done by expanding the…

Materials Science · Physics 2017-05-29 Yan Lu , Ankit Srivastava

Despite initiatives to improve the quality of scientific codes, there still is a large presence of legacy code. Such code often needs to implement a lot of functionality under time constrains, sacrificing quality. Additionally, quality is…

Computational Engineering, Finance, and Science · Computer Science 2018-10-17 Markus Höhnerbach , Paolo Bientinesi

Many quantum systems admit an explicit analytic Fourier space expansion, besides the usual analytic Schrodinger configuration space representation. We argue that the use of weighted orthonormal polynomial expansions for the physical states…

Mathematical Physics · Physics 2014-11-20 Carlos R. Handy , Daniel Vrinceanu , Carl Marth , Harold A. Brooks

This paper introduces a weighted generalized inverse framework for Fourier extensions, designed to suppress spurious oscillations in the extended region while maintaining high approximation accuracy on the original interval. By formulating…

Numerical Analysis · Mathematics 2026-01-13 Zhenyu Zhao , Yanfei Wang , Anatoly G. Yagola , Xusheng Li

We present a spectrally accurate fast algorithm for evaluating the solution to the scalar wave equation in free space driven by a large collection of point sources in a bounded domain. With $M$ sources temporally discretized by $N_t$ time…

Numerical Analysis · Mathematics 2025-11-27 Nour G. Al Hassanieh , Alex H. Barnett , Leslie Greengard

Recently, a unified framework for adaptive kernel based signal processing of complex data was presented by the authors, which, besides offering techniques to map the input data to complex Reproducing Kernel Hilbert Spaces, developed a…

Machine Learning · Computer Science 2015-05-30 Pantelis Bouboulis , Sergios Theodoridis , Michael Mavroforakis

In this work, we present a computationally efficient methodology that utilizes a local real-space formulation of the projector augmented wave (PAW) method discretized with a finite-element (FE) basis to enable accurate and large-scale…

Computational Physics · Physics 2025-01-03 Kartick Ramakrishnan , Sambit Das , Phani Motamarri

Scattering amplitudes at loop level can be reduced to a basis of linearly independent Feynman integrals. The integral coefficients are extracted from generalized unitarity cuts which define algebraic varieties. The topology of an algebraic…

High Energy Physics - Theory · Physics 2015-06-03 Mads Sogaard , Yang Zhang

We provide a framework to approximate the 2-Wasserstein distance and the optimal transport map, amenable to efficient training as well as statistical and geometric analysis. With the quadratic cost and considering the Kantorovich dual form…

Optimization and Control · Mathematics 2019-02-20 Amirhossein Taghvaei , Amin Jalali

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

We present an ab initio inelastic quantum transport approach based on maximally localized Wannier functions. Electronic-structure properties are calculated with density-functional theory in a planewave basis, and electron-vibration coupling…

Mesoscale and Nanoscale Physics · Physics 2013-06-12 Sejoong Kim , Nicola Marzari