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Excited-state calculations, notably for quasiparticle band structures, are nowadays routinely performed within the GW approximation for the electronic self-energy. Nevertheless, certain numerical approximations and simplifications are still…

The use of energy functionals based on density as the basic variable is advocated for ab initio molecular dynamics. It is demonstrated that the constraint of positivity of density can be incorporated easily by using square root density for…

Condensed Matter · Physics 2009-10-22 Vaishali Shah , Dinesh Nehete , D. G. Kanhere

We present a new all-electron, augmented-wave implementation of the GW approximation using eigenfunctions generated by a recent variant of the full-potential LMTO method. The dynamically screened Coulomb interaction W is expanded in a mixed…

Materials Science · Physics 2009-11-07 Takao Kotani , Mark van Schilfgaarde

Historically, the GW approach was put forward by Hedin as the simplest approximation to the so-called Hedin equations. In Section 2, we will derive these Hedin equations from a Feynman-diagrammatical point of view. Section 3.1 shows how GW…

Materials Science · Physics 2011-09-20 K. Held , C. Taranto , G. Rohringer , A. Toschi

First-principles descriptions of correlated quantum materials require a simultaneous treatment of strong local many-body effects and nonlocal dynamical screening. We present an efficient fully self-consistent implementation of $GW$+EDMFT…

Strongly Correlated Electrons · Physics 2026-03-16 Chia-Nan Yeh , Francesco Petocchi , Alexander Hampel , Philipp Werner , Olivier Parcollet , Antoine Georges , Miguel Morales

We present a method for calculating ab initio interatomic forces which scales quadratically with the size of the system and provides a physically transparent representation of the force in terms of the spatial variation of the electronic…

mtrl-th · Physics 2008-02-03 C. Wei , Steven P. Lewis , E. J. Mele , Andrew M. Rappe

Ab initio simulations are capable of providing detailed information of material behavior at the nanoscale. Simulating experimentally relevant situations is, however, often computationally intense. Using hybrid approaches between ab initio…

Computational Physics · Physics 2019-03-26 Michael Sluydts , Michiel Larmuseau , Johan Lauwaert , Stefaan Cottenier

We present a new formulation of ab initio molecular dynamics which exploits the efficiency of plane waves in adaptive curvilinear coordinates, and thus provides an accurate treatment of first-row elements. The method is used to perform a…

mtrl-th · Physics 2009-10-28 Francois Gygi

The analytic continuation of the GW self-energy from the imaginary to the real energy axis is a central difficulty for approaches exploiting the favourable properties of response functions at imaginary frequencies. Within a scheme merging…

Materials Science · Physics 2019-12-16 Ivan Duchemin , Xavier Blase

Ab initio GW calculations are a standard method for computing the spectroscopic properties of many materials. The most computationally expensive part in conventional implementations of the method is the generation and summation over the…

Materials Science · Physics 2015-06-11 Jack Deslippe , Georgy Samsonidze , Manish Jain , Marvin L. Cohen , Steven G. Louie

High entropy alloys (HEA) represent a class of materials with promising properties, such as high strength and ductility, radiation damage tolerance, etc. At the same time, a combinatorially large variety of compositions and a complex…

Materials Science · Physics 2025-10-03 Franco Moitzi , Lorenz Romaner , Andrei V. Ruban , Oleg E. Peil

We propose a computational scheme for the ab initio calculation of Wannier functions (WFs) for correlated electronic materials. The full-orbital Hamiltonian H is projected into the WF subspace defined by the physically most relevant…

Warm dense matter (WDM) -- an exotic state of highly compressed matter -- has attracted high interest in recent years in astrophysics and for dense laboratory systems. At the same time, this state is extremely difficult to treat…

We present a new ab initio method for calculating effective onsite Coulomb interactions of itinerant and strongly correlated electron systems. The method is based on constrained local density functional theory formulated in terms of…

Strongly Correlated Electrons · Physics 2009-11-11 Kazuma Nakamura , Ryotaro Arita , Yoshihide Yoshimoto , Shinji Tsuneyuki

We give a summary of recent progress in the field of electronic structure calculations for materials with strong electronic Coulomb correlations. The discussion focuses on developments beyond the by now well established combination of…

Strongly Correlated Electrons · Physics 2014-12-30 Silke Biermann

The efficiency of the variational perturbation theory [Phys. Rev. C {\bf 62}, 045503 (2000)] formulated recently for many-particle systems is examined by calculating the ground state correlation energy of the 3D electron gas with the…

Strongly Correlated Electrons · Physics 2009-11-07 Sang Koo You , Noboru Fukushima

In this paper I give a detailed account of an ab initio methodology for describing strong electronic correlations in nanoscale devices hosting transition metal atoms with open $d$- or $f$-shells. The method combines Kohn-Sham Density…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 D. Jacob

We introduce a novel computational approach for the investigation of complex correlated electron materials which makes it possible to evaluate interatomic forces and thereby determine atomic displacements and structural transformations…

Strongly Correlated Electrons · Physics 2014-04-24 I. Leonov , V. I. Anisimov , D. Vollhardt

We present a diagrammatic approach to construct self-energy approximations within many-body perturbation theory with positive spectral properties. The method cures the problem of negative spectral functions which arises from a…

Other Condensed Matter · Physics 2015-06-22 G. Stefanucci , Y. Pavlyukh , A. -M. Uimonen , R. van Leeuwen

Molecule-metal interfaces have a broad range of applications in nanoscale materials science. Accurate characterization of their electronic structures from first-principles is key in understanding material and device properties. The GW…

Materials Science · Physics 2020-02-05 Zhenfei Liu