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We present a relativistic correction scheme to improve the accuracy of 1s core-level binding energies calculated from Green's function theory in the $GW$ approximation, which does not add computational overhead. An element-specific…

Chemical Physics · Physics 2020-09-23 Levi Keller , Volker Blum , Patrick Rinke , Dorothea Golze

Using the tight-binding model with long-range Coulomb interactions between electrons, we study some of the electronic properties of graphene. The Coulomb interactions are treated with the renormalized-ring-diagram approximation. By…

Strongly Correlated Electrons · Physics 2011-11-09 Xin-Zhong Yan , C. S. Ting

Recently proposed local self-interaction correction (LSIC) method [Zope, R. R. et al., J. Chem. Phys. 151, 214108 (2019)] is a one-electron self-interaction-correction (SIC) method that uses an iso-orbital indicator to apply the SIC at each…

Chemical Physics · Physics 2023-02-22 Yoh Yamamoto , Tunna Baruah , Po-Hao Chang , Selim Romero , Rajendra R. Zope

Two-loop self-energy corrections to the bound-electron $g$ factor are investigated theoretically to all orders in the nuclear binding strength parameter $Z\alpha$. The separation of divergences is performed by dimensional regularization,…

Atomic Physics · Physics 2020-01-08 B. Sikora , V. A. Yerokhin , N. S. Oreshkina , H. Cakir , C. H. Keitel , Z. Harman

The total energy and electron addition and removal spectra can in principle be obtained exactly from the one-body Green's function. In practice, the Green's function is obtained from an approximate self-energy. In the framework of many-body…

Strongly Correlated Electrons · Physics 2023-12-08 Abdallah El-Sahili , Francesco Sottile , Lucia Reining

We investigate the dynamical self-energy corrections of the electron-hole plasma due to electron-electron and electron-phonon interactions at the band edges of a quasi-one dimensional (1D) photoexcited electron-hole plasma. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. H. Hwang , S. Das Sarma

Vacuum polarisation (VP) and electron self energy (SE) are implemented and evaluated as quantum electrodynamic (QED) corrections in a (quasi-relativistic) two-component zeroth order regular approximation (ZORA) framework. For VP, the…

We describe an all-electron $G_0W_0$ implementation for periodic systems with $k$-point sampling implemented in a crystalline Gaussian basis. Our full-frequency $G_0W_0$ method relies on efficient Gaussian density fitting integrals and…

Materials Science · Physics 2021-04-08 Tianyu Zhu , Garnet Kin-Lic Chan

Due to the infinite summation of bubble diagrams, the $GW$ approximation of Green's function perturbation theory has proven particularly effective in the weak correlation regime, where this family of Feynman diagrams is important. However,…

We report an implementation of self-consistent Green's function many-body theory within a second-order approximation (GF2) for application with molecular systems. This is done by iterative solution of the Dyson equation expressed in matrix…

Chemical Physics · Physics 2016-11-15 Jordan J. Phillips , Dominika Zgid

Theoretical studies of semiconductors and band insulators are usually based on variants of the $GW$ method without full self-consistency, like single-shot $G^0W^0$ or quasiparticle self-consistent $GW$. Fully self-consistent $GW$ provides a…

Strongly Correlated Electrons · Physics 2024-10-28 Viktor Christiansson , Francesco Petocchi , Philipp Werner

We present a theoretical framework and implementation details for self-energy embedding theory (SEET) with the GW approximation for the treatment of weakly correlated degrees of freedom and configuration interactions solver for handing the…

Strongly Correlated Electrons · Physics 2017-10-11 Tran Nguyen Lan , Avijit Shee , Jia Li , Emanuel Gull , Dominika Zgid

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

For the recent GW100 test set of molecular ionization energies, we present a comprehensive assessment of different GW methodologies: fully self-consistent GW (scGW), quasiparticle self-consistent GW (qsGW), partially self-consistent GW0…

Chemical Physics · Physics 2018-05-17 Fabio Caruso , Matthias Dauth , Michiel J. van Setten , Patrick Rinke

The hyperfine structure (hfs) and the g factor of a bound electron are caused by external magnetic fields. For the hfs, the magnetic field is due to the nuclear spin. A uniform-in-space and constant-in-time magnetic field is used to probe…

Atomic Physics · Physics 2015-05-14 Vladimir A. Yerokhin , Ulrich D. Jentschura

We evaluate the performances of ab initio GW calculations for the ionization energies and HOMO-LUMO gaps of thirteen gas phase molecules of interest for organic electronic and photovoltaic applications, including the C60 fullerene,…

Materials Science · Physics 2011-04-01 Xavier Blase , Claudio Attaccalite , Valerio Olevano

The band structure of $\beta$-LiGaO$_2$ is calculated using the quasiparticle self-consistent QS$G\hat W$ method where the screened Coulomb interaction $\hat W$ is evaluated including electron-hole interaction ladder diagrams and $G$ is the…

Materials Science · Physics 2023-04-26 Niloufar Dadkhah , Walter R. L. Lambrecht , Dimitar Pashov , Mark van Schilfgaarde

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

According to Wick's theorem, the second order self-energy corrections of hadrons in the hot and dense nuclear matter are calculated. Furthermore, the Feynman rules are summarized, and an effective formulation on quantum hadrodynamics at…

Nuclear Theory · Physics 2007-05-23 Bao-Xi Sun , Xiao-Fu Lu , Lei Li , Ping-Zhi Ning , Peng-Nian Shen , En-Guang Zhao

$GW$ is an accurate method for computing electron addition and removal energies of molecules and solids. In a conventional $GW$ implementation, however, its computational cost is $O(N^4)$ in the system size $N$, which prohibits its…

Chemical Physics · Physics 2021-03-22 Jan Wilhelm , Patrick Seewald , Dorothea Golze
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