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The variational inclusion of spin-orbit coupling in self-consistent field (SCF) calculations requires a generalised two-component framework, which permits the single-determinant wave function to completely break spin symmetry. The…

Chemical Physics · Physics 2023-03-29 Shadan Ghassemi Tabrizi , R. Rodríguez-Guzmán , Carlos A. Jiménez-Hoyos

We show that the recently-introduced formalism by Neuhauser et al. for the calculation of the quasi-particle energies of electronic systems within the framework of the GW approximation of the self-energy operator, named the `stochastic GW…

Mesoscale and Nanoscale Physics · Physics 2014-03-05 Behnam Farid

The numerical solution of singular eigenvalue problems is complicated by the fact that small perturbations of the coefficients may have an arbitrarily bad effect on eigenvalue accuracy. However, it has been known for a long time that such…

Numerical Analysis · Mathematics 2023-01-10 Daniel Kressner , Ivana Šain Glibić

Functionals of the meta-generalized gradient approximation (MGGA) are nowadays widely used in chemistry and solid-state physics for the simulation of electronic systems like molecules, solids, or surfaces. Due to their dependency on the…

Materials Science · Physics 2022-05-31 Jan Doumont , Fabien Tran , Peter Blaha

We implemented combination of DMFT and $GW$ in its fully self-consistent way, one shot $GW$ approximation, and quasiparticle self-consistent scheme, and studied how well these combined methods perform on H$_2$ molecule as compared to more…

Strongly Correlated Electrons · Physics 2017-04-12 Juho Lee , Kristjan Haule

Quadratic-response theory is shown to provide a conceptually simple but accurate approximation for the self-consistent one-electron potential of semiconductor nanostructures. Numerical examples are presented for GaAs/AlAs and InGaAs/InP…

Materials Science · Physics 2007-07-24 Bradley A. Foreman

This study presents a comprehensive spatial eigenanalysis of fully-discrete discontinuous spectral element methods, now generalizing previous spatial eigenanalysis that did not include time integration errors. The influence of discrete time…

Fluid Dynamics · Physics 2021-11-30 Niccolò Tonicello , Rodrigo C Moura , Guido Lodato , Gianmarco Mengaldo

A new model independent method is presented for the analysis of pulsar timing data and the estimation of the spectral properties of an isotropic gravitational wave background (GWB). We show that by rephrasing the likelihood we are able to…

Instrumentation and Methods for Astrophysics · Physics 2013-06-26 Lindley Lentati , Paul Alexander , Michael P. Hobson , Stephen Taylor , Jonathon Gair , Sreekumar T. Balan , Rutger van Haasteren

Charged excitations of the oligoacene family of molecules, relevant for astrophysics and technological applications, are widely studied and therefore provide an excellent system for benchmarking theoretical methods. In this work, we…

Chemical Physics · Physics 2016-05-18 Tonatiuh Rangel , Samia M. Hamed , Fabien Bruneval , Jeffrey B. Neaton

We show how to simplify the calculation of the finite contributions from heavy particles to EFT Wilson coefficients by using on-shell methods. We apply the technique to the one-loop calculation of $g-2$ and $H\gamma\gamma$, showing how…

High Energy Physics - Phenomenology · Physics 2022-01-31 Luigi Delle Rose , Benedict von Harling , Alex Pomarol

We have developed the quasiparticle self-consistent GW (QSGW) method based on a recently developed mixed basis all-electron full-potential method (the PMT method), which uses the augmented plane waves (APWs) and the highly localized…

Materials Science · Physics 2014-08-18 Takao Kotani

We quantify the advantages of a recently proposed data processing technique to search for continuous gravitational wave (GW) signals from isolated rotating asymmetric neutron stars in data measured by ground-based GW interferometers. This…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Harshit Raj , Sanjeev Dhurandhar , Massimo Tinto

We present a high-order spacetime numerical method for discretizing and solving linear initial-boundary value problems using wavelet-based techniques with user-prescribed error estimates. The spacetime wavelet discretization yields a system…

Numerical Analysis · Mathematics 2025-09-04 Cody D. Cochran , Karel Matous

We present a method to perform fully selfconsistent density-functional calculations, which scales linearly with the system size and which is well suited for very large systems. It uses strictly localized pseudoatomic orbitals as basis…

Condensed Matter · Physics 2009-10-28 Pablo Ordejon , Emilio Artacho , Jose M. Soler

An algorithm named EigenWave is described to compute eigenvalues and eigenvectors of elliptic boundary value problems. The algorithm, based on the recently developed WaveHoltz scheme, solves a related time-dependent wave equation as part of…

Numerical Analysis · Mathematics 2025-07-25 Daniel Appelo , Jeffrey W. Banks , William D. Henshaw , Ngan Le , Donald W. Schwendeman

The GW Approximation is an ab initio approach to calculating electronic structure which avoids using the Local Density (LDA) Approximation, the Generalized Gradient (GGA) Approximation, or similar density functionals. It goes beyond the…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 Vincent Sacksteder

We develop a self-consistent first-principle method based on the density functional theory. Physical quantities, such as the density of states, Fermi energy and electron density are obtained using a time-dependent random state method…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Weiqing Zhou , Shengjun Yuan

Self-consistent vertex corrected GW calculations have been performed to evaluate the equilibrium volume and corresponding bulk modulus of 3d transition metal vanadium. The study demonstrates the feasibility of this approach. The accuracy of…

Strongly Correlated Electrons · Physics 2018-10-10 Andrey L Kutepov

Chu et al. recently reported extensive results of local density approximation (LDA) and of four (4) different Green function and dressed Coulomb (GW) approximation calculations of electronic properties of several semiconductors and…

Materials Science · Physics 2016-10-18 Diola Bagayoko , Yacouba Issa Diakite , Lashounda Franklin

Moving from univariate to bivariate jointly dependent long-memory time series introduces a phase parameter $(\gamma)$, at the frequency of principal interest, zero; for short-memory series $\gamma=0$ automatically. The latter case has also…

Statistics Theory · Mathematics 2008-11-07 P. M. Robinson
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