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As the second component of SPARC (Simulation Package for Ab-initio Real-space Calculations), we present an accurate and efficient finite-difference formulation and parallel implementation of Density Functional Theory (DFT) for extended…

Computational Physics · Physics 2017-05-24 Swarnava Ghosh , Phanish Suryanarayana

We present an effective medium theory based on density functional theory that is implemented in VASP using the PAW method with a plane wave basis set. The transmission coefficient is derived through three complementary approaches: the…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Yi-Cheng Lin , Ken-Ming Lin , Yu-Chang Chen

The projector augmented wave (PAW) method of Bl\"ochl linearly maps smooth pseudo wavefunctions to the highly oscillatory all-electron DFT orbitals. Compared to norm-conserving pseudopotentials (NCPP), PAW has the advantage of lower kinetic…

Chemical Physics · Physics 2023-12-25 Minh Nguyen , Tim Duong , Daniel Neuhauser

A system of electrons in a local or nonlocal external potential can be studied with 1-matrix functional theory (1MFT), which is similar to density functional theory (DFT) but takes the one-particle reduced density matrix (1-matrix) instead…

Strongly Correlated Electrons · Physics 2008-07-23 Ryan Requist , Oleg Pankratov

Machine-learning models can be trained to predict the converged electron charge density of a density functional theory (DFT) calculation. In general, the value of the density at a given point in space is invariant under global translations…

Materials Science · Physics 2024-10-03 Bruno Focassio , Michelangelo Domina , Urvesh Patil , Adalberto Fazzio , Stefano Sanvito

We analyze in detail the error that arises from the linearization in linearized augmented-plane-wave (LAPW) basis functions around predetermined energies $E_l$ and show that it can lead to undesirable dependences of the calculated results…

Materials Science · Physics 2013-11-19 Gregor Michalicek , Markus Betzinger , Christoph Friedrich , Stefan Blügel

We present an implementation of the GW approximation for the electronic self-energy within the full-potential linearized augmented-plane-wave (FLAPW) method. The algorithm uses an all-electron mixed product basis for the representation of…

Materials Science · Physics 2010-11-15 Christoph Friedrich , Stefan Blügel , Arno Schindlmayr

In this short paper, the authors report a new computational approach in the context of Density Functional Theory (DFT). It is shown how it is possible to speed up the self-consistent cycle (iteration) characterizing one of the most…

Computational Physics · Physics 2015-05-19 Edoardo Di Napoli , Paolo Bientinesi

Embedded density functional theory (e-DFT) is used to describe the electronic structure of strongly interacting molecular subsystems. We present a general implementation of the Exact Embedding (EE) method [J. Chem. Phys. 133, 084103 (2010)]…

Other Condensed Matter · Physics 2011-07-27 Jason D. Goodpaster , Taylor A. Barnes , Thomas F. Miller

The $GW$ approach of many-body perturbation theory (MBPT) has become a common tool for calculating the electronic structure of materials. However, with increasing number of published results, discrepancies between the values obtained by…

Materials Science · Physics 2016-08-03 Dmitrii Nabok , Andris Gulans , Claudia Draxl

Ground-state electronic structure calculations using Kohn-Sham density functional theory (KS-DFT) offer an unprecedented balance between efficiency and accuracy, now paradigmatic to the fields of quantum chemistry and condensed matter…

Chemical Physics · Physics 2026-04-14 Lucien Dupuy , Toni Chiti , Jérémy Morere , Emmanuel Fromager

The Projected Augmented Waves (PAW) method is based on a linear transformation between the pseudo wavefunctions and the all electron wavefunctions. To obtain high accuracy with this method, it is important that the local part of the linear…

Other Condensed Matter · Physics 2025-04-15 Garry Goldstein

We present an accurate local density-functional for electronic-structure calculations within the density functional theory (DFT). The functional is derived by analyzing the structure of the standard perturbative expansion of the correlation…

Materials Science · Physics 2024-11-28 Mario Benites , Angel Rosado , Efstratios Manousakis

In a recent paper we presented a linear scaling Kohn-Sham density functional theory (DFT) code based on Daubechies wavelets, where a minimal set of localized support functions is optimized in situ and therefore adapted to the chemical…

Materials Science · Physics 2015-10-08 Laura E. Ratcliff , Luigi Genovese , Stephan Mohr , Thierry Deutsch

Variational excited-state density functional theory (DFT) enables the calculation of excited states at a cost comparable to ground-state calculations, but single-configuration approaches often suffer from spin contamination. We implement…

Chemical Physics · Physics 2026-05-28 Michael J. Sahre , Marco Romanelli , Martijn Marsman , Leticia González , Georg Kresse

A central problem of materials science is to determine whether a hypothetical material is stable without being synthesized, which is mathematically equivalent to a global optimization problem on a highly non-linear and multi-modal potential…

Applications · Statistics 2023-05-02 Arvind Krishna , Huan Tran , Chaofan Huang , Rampi Ramprasad , V. Roshan Joseph

In the near future, material and drug design may be aided by quantum computer assisted simulations. These have the potential to target chemical systems intractable by the most powerful classical computers. However, the resources offered by…

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 develop a method in which the electronic densities of small fragments determined by Kohn-Sham density functional theory (DFT) are embedded using stochastic DFT to form the exact density of the full system. The new method preserves the…

Chemical Physics · Physics 2015-06-19 Daniel Neuhauser , Roi Baer , Eran Rabani

We report APW+${lo}$ (augmented plane wave plus local orbital) density functional theory (DFT) calculations of molecule systems using the domain specific SIRIUS multi-functional DFT package. Compared to other packages the additional APW and…

Materials Science · Physics 2022-12-16 Long Zhang , Anton Kozhevnikov , Thomas Schulthess , S. B. Trickey , Hai-Ping Cheng