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Related papers: Electronic structure methods: Augmented Waves, Pse…

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We provide a straightforward and efficient procedure to combine LDA+U total energy functional with the full potential linearized augmented plane wave method. A detailed derivation of the LDA+U Kohn-Sham type equations is presented for the…

Strongly Correlated Electrons · Physics 2009-10-31 A. B. Shick , A. I. Liechtenstein , W. E. Pickett

Since the discovery of electron-wave duality, electron scattering instrumentation has developed into a powerful array of techniques for revealing the atomic structure of matter. Beyond detecting local lattice variations in equilibrium…

In this paper, we reformulate the semi-classical Schr\"odinger equation in the presence of electromagnetic field by the Gaussian wave packets transform. With this approach, the highly oscillatory Schr\"odinger equation is equivalently…

Numerical Analysis · Mathematics 2018-02-13 Zhennan Zhou , Giovanni Russo

This paper presents a new approach for the computation of eigenvalues of the generalized spheroidal wave equations. The novelty of the present method is in the use of the analytical derivatives of the eigenvalues to minimize losses in…

Atomic Physics · Physics 2026-04-13 Mykhaylo V. Khoma

The full-potential linearized augmented-plane wave (FP-LAPW) method is well known to enable most accurate calculations of the electronic structure and magnetic properties of crystals and surfaces. The implementation of atomic forces has…

Condensed Matter · Physics 2009-10-31 Max Petersen , Frank Wagner , Lars Hufnagel , Matthias Scheffler , Peter Blaha , Karlheinz Schwarz

We show that a rectangular collocation method, equivalent to evaluating all matrix elements with a quadrature-like scheme and using more points than basis functions, is an effective approach for solving the electronic Schr\"odinger equation…

Computational Physics · Physics 2021-12-08 Sergei Manzhos , Tucker Carrington

This paper presents a novel principle for photovoltaic (PV) energy conversion using surface acoustic waves (SAWs) in piezoelectric semiconductors. A SAW produces a periodically modulated electric potential, which spatially segregates…

Materials Science · Physics 2015-03-13 Victor M. Yakovenko

We present a method for electronic structure calculations that retains all of the advantages of real space and addresses the inherent inefficiency of a regular grid, which has equal precision everywhere. The computations are carried out on…

Condensed Matter · Physics 2009-10-28 Gil Zumbach , N. A. Modine , Efthimios Kaxiras

In this communication we propose the use of the Augmented Space Recursion as an ideal methodology for the study of electronic and magnetic structures of rough surfaces, interfaces and overlayers. The method can take into account roughness,…

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

Linear-scaling electronic structure methods based on the calculation of moments of the underlying electronic Hamiltonian offer a computationally efficient and numerically robust scheme to drive large-scale atomistic simulations, in which…

Materials Science · Physics 2017-01-09 Eunan J. McEniry , Ralf Drautz

We develop a method to design tunable quasiperiodic structures of particles suspended in a fluid by controlling standing acoustic waves. One application of our results is to ultrasound directed self-assembly, which allows fabricating…

Analysis of PDEs · Mathematics 2024-09-20 Elena Cherkaev , Fernando Guevara Vasquez , China Mauck

The theoretical foundations of quantum mechanics and de Broglie--Bohm mechanics are analyzed and it is shown that both theories employ a formal approach to microphysics. By using a realistic approach it can be established that the internal…

Quantum Physics · Physics 2015-06-26 W. A. Hofer

Spatiotemporal metasurfaces, characterized by dynamic variations in both space and time, enable functionalities unattainable with passive metasurfaces. In this study, we propose a novel concept of parametric metasurfaces capable of…

Optics · Physics 2025-07-14 Fedor V. Kovalev , Ilya V. Shadrivov

The electronic structure of CoO is studied by resonant inelastic soft X-ray scattering spectroscopy using photon energies across the Co 2p absorption edges. The different spectral contributions from the energy-loss structures are identified…

Materials Science · Physics 2012-01-04 M. Magnuson , S. M. Butorin , J. -H. Guo , J. Nordgren

This article is composed of two parts; In the first part (Sec. 1), the ultra-large-scale electronic structure theory is reviewed for (i) its fundamental numerical algorithm and (ii) its role in nano-material science. The second part (Sec.…

Computational Physics · Physics 2008-09-01 Takeo Hoshi

We present a code-independent compact representation of one-electron wavefunctions and other volumetric data (electron density, electrostatic potential, etc.) produced by electronic-structure calculations. The compactness of the…

Materials Science · Physics 2019-02-08 Sergey V. Levchenko , Matthias Scheffler

A high-performance shooting algorithm is developed to compute time-periodic solutions of the free-surface Euler equations with spectral accuracy in double and quadruple precision. The method is used to study resonance and its effect on…

Fluid Dynamics · Physics 2015-06-11 Jon Wilkening , Jia Yu

The periodic standing wave (PSW) method for the binary inspiral of black holes and neutron stars computes exact numerical solutions for periodic standing wave spacetimes and then extracts approximate solutions of the physical problem, with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Benjamin Bromley , Robert Owen , Richard H. Price

We have developed the technique of a quantum wave impedance determination for the sequence of not only constant potentials but also for potentials of forms for which the solution of a Shr\"{o}dinger equation exists at least in terms of…

Quantum Physics · Physics 2020-10-20 O. I. Hryhorchak