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Many-body perturbation theory is often formulated in terms of an expansion in the dressed instead of the bare Green's function, and in the screened instead of the bare Coulomb interaction. However, screening can be calculated on different…

Strongly Correlated Electrons · Physics 2021-09-15 Walter Tarantino , Bernardo S. Mendoza , Pina Romaniello , J. A. Berger , Lucia Reining

Range-separated density-functional theory is an alternative approach to Kohn-Sham density-functional theory. The strategy of range-separated density-functional theory consists in separating the Coulomb electron-electron interaction into…

Chemical Physics · Physics 2015-02-20 Odile Franck , Bastien Mussard , Eleonora Luppi , Julien Toulouse

Effects of short-range correlations on the Coulomb screening, the phonons, and the pairing interactions are examined in electron-phonon systems. First, we derive a model Hamiltonian of Coulomb interactions which includes both the long-range…

Superconductivity · Physics 2007-05-23 Hiroshi Shimahara

We present an extension of the quasiparticle self-consistent $GW$ approximation (QS$GW$) [Phys. Rev. B, 76 165106 (2007)] to include vertex corrections in the screened Coulomb interaction $W$. This is achieved by solving the Bethe-Salpeter…

Materials Science · Physics 2023-10-11 Brian Cunningham , Myrta Grüning , Dimitar Pashov , Mark van Schilfgaarde

A newly synthesized layered material C2N was investigated based on many- body perturbation theory using GW plus Bethe-Salpeter equation approach. The electronic band gap was determined to be ranging from 3.75 to 1.89 eV from monolayer to…

Materials Science · Physics 2016-11-03 Jiuyu Sun , Ruiqi Zhang , Xingxing Li , Jinlong Yang

The matrix elements of the deformation potential of C$_{70}$ are calculated by means of a simple, yet accurate solution of the electron-phonon coupling problem in fullerenes, based on a parametrization of the ground state electronic density…

Condensed Matter · Physics 2009-10-31 D. Provasi , N. Breda , R. A. Broglia , G. Colo` , H. E. Roman , G. Onida

Electron-phonon coupling (EPC) plays an important role in many fundamental physical phenomena, but the high computational cost of the EPC matrix hinders the theoretical research on them. In this paper, an analytical formula is derived to…

Computational Physics · Physics 2023-02-02 Yang Zhong , Zhiguo Tao , Weibin Chu , Xingao Gong , Hongjun Xiang

We have developed a first-principles method to calculate the electron-phonon coupling for specific modes and q-points in the Brillouin Zone for crystalline organic semiconductors. Using the obtained coupling strengths, we propose an…

An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k^2, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the…

Nuclear Theory · Physics 2011-07-19 J. A. Tjon , S. J. Wallace

We present a systematic study of the variables affecting the electronic and optical properties of two-dimensional(2D) crystals within \textit{ab initio} GW and GW plus Bethe Salpeter Equation (GW-BSE) calculations. As a prototypical 2D…

Materials Science · Physics 2016-07-20 Diana Y. Qiu , Felipe H. da Jornada , Steven G. Louie

Coulomb matrix elements are needed in all studies in solid-state theory that are based on Hubbard-type multi-orbital models. Due to symmetries, the matrix elements are not independent. We determine a set of independent Coulomb parameters…

Strongly Correlated Electrons · Physics 2017-03-24 Jörg Bünemann , Florian Gebhard

We study ground-state properties of a two-site, two-electron Holstein model describing two molecules coupled indirectly via electron-phonon interaction by using both exact diagonalization and self-consistent diagrammatic many-body…

Strongly Correlated Electrons · Physics 2016-01-20 N. Säkkinen , Y. Peng , H. Appel , R. van Leeuwen

The Coulomb branch of four dimensional $\mathcal{N}=2$ theories can be solved by finding a Seiberg-Witten (SW) geometry and a SW differential. While lots of SW geometries are found, the extraction of low energy theory out of it is limited…

High Energy Physics - Theory · Physics 2021-07-26 Dan Xie , Dingxin Zhang

We propose a general strategy to develop quantum many-body approximations of primitives in linear algebra algorithms. As a practical example, we introduce a coupled-cluster inspired framework to produce approximate Hamiltonian moments, and…

Chemical Physics · Physics 2025-12-30 Yuhang Ai , Huanchen Zhai , Johannes Tölle , Garnet Kin-Lic Chan

A high-precision numerical calculation is reported for the self-energy correction to the hyperfine splitting and to the bound-electron g factor in hydrogenlike ions with low nuclear charge numbers. The binding nuclear Coulomb field is…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , U. D. Jentschura

Cyclometalled Ir(III) compounds are the preferred choice as organic emitters in Organic Light Emitting Diodes. In practice, the presence of the transition metals surrounded by carefully designed ligands allows the fine tuning of the…

Materials Science · Physics 2020-02-25 Marco Cazzaniga , Fausto Cargnoni , Marta Penconi , Alberto Bossi , Davide Ceresoli

Electronic structure calculations in the time domain provide a deeper understanding of nonequilibrium dynamics in materials. The real-time Boltzmann equation (rt-BTE), used in conjunction with accurate interactions computed from first…

Materials Science · Physics 2025-09-16 Jia Yao , Ivan Maliyov , David J. Gardner , Carol S. Woodward , Marco Bernardi

The GW approximation within many-body perturbation theory is the state of the art for computing quasiparticle energies in solids. Typically, Kohn-Sham (KS) eigenvalues and eigenfunctions, obtained from a Density Functional Theory (DFT)…

The McMillan-Rowell tunneling inversion program, which extracts the electron-phonon spectral function $\alpha^2F(\Omega)$ and the Coulomb pseudopotential $\mu^*$ from experimental tunneling data, is generalized to include the lowest-order…

Condensed Matter · Physics 2015-06-25 J. K. Freericks , E. J. Nicol , A. Y. Liu , A. A. Quong

The electronic and vibrational properties and electron-phonon couplings of one-dimensional materials will be key to many prospective applications in nanotechnology. Dimensionality strongly affects these properties and has to be correctly…

Materials Science · Physics 2023-10-09 Norma Rivano , Nicola Marzari , Thibault Sohier
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