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Moir\'{e} systems such as magic-angle twisted bilayer graphene have attracted significant attention due to their ability to host correlated phenomena including superconductivity and strongly correlated insulating states. By defining the…

Strongly Correlated Electrons · Physics 2025-09-08 Liangtao Peng , Giovanni Vignale , Shaffique Adam

Ab initio techniques for studying the optical and vibrational properties of materials are well-established, but only a few recent studies have focused on the interaction between excitons and atomic vibrations. In this paper, we revisit the…

Materials Science · Physics 2026-03-17 Rafael R. Del Grande , David A. Strubbe

Superconducting two-dimensional materials, and in particular few-layer graphene, offer an exciting platform for low-power electronics, yet the origin of their unconventional superconductivity remains an open question. Prevailing theories,…

Superconductivity · Physics 2026-05-22 Catalin D. Spataru , Christopher Renskers , Elena R. Margine

We introduce a simple ansatz for the wavefunction of a many-body system based on coupled forward and backward-propagating semiclassical trajectories. This method is primarily aimed at, but not limited to, treating nonequilibrium dynamics in…

Chemical Physics · Physics 2018-05-01 Shunsuke A. Sato , Aaron Kelly , Angel Rubio

The self-screening error in electronic structure theory is the part of the self-interaction error that would remain within the $GW$ approximation if the exact dynamically screened Coulomb interaction, $W$, were used, causing each electron…

Materials Science · Physics 2021-01-15 Jack Wetherell , Matthew Hodgson , Rex Godby

The $GW$ method for calculating quasi-particle energies of solids commonly begin from a DFT Hamiltonian and Kohn-Sham orbitals in a plane wave basis. Screening of the coulomb interaction is implemented using the inverse dielectric function…

Materials Science · Physics 2026-05-20 Charles H. Patterson

We develop the plasmon-pole approximation for an interacting electron gas confined in a semiconductor quantum wire. We argue that the plasmon-pole approximation becomes a more accurate approach in quantum wire systems than in higher…

Condensed Matter · Physics 2009-10-28 S. Das Sarma , E. H. Hwang , Lian Zheng

In many-body perturbation theory (MBPT) the self-energy \Sigma=iGW\Gamma plays the key role since it contains all the many body effects of the system. The exact self-energy is not known; as first approximation one can set the vertex…

Strongly Correlated Electrons · Physics 2012-04-23 Pina Romaniello , Friedhelm Bechstedt , Lucia Reining

The high temperature many-body density matrix is fundamental to path integral computation. The pair approximation, where the interaction part is written as a product of pair density matrices, is commonly used and is accurate to order tau…

Materials Science · Physics 2009-04-29 B. Militzer

Using a first-principles approach we calculate the acoustic electron-phonon couplings in graphene for the transverse (TA) and longitudinal (LA) acoustic phonons. Analytic forms of the coupling matrix elements valid in the long-wavelength…

Materials Science · Physics 2013-11-22 Kristen Kaasbjerg , Kristian S. Thygesen , Karsten W. Jacobsen

We present a formulation of relativistic self-consistent $GW$ for solids based on the exact two-component formalism with one-electron approximation (X2C1e) and non-relativistic Coulomb interactions. Our theory allows us to study scalar…

Strongly Correlated Electrons · Physics 2022-08-31 Chia-Nan Yeh , Avijit Shee , Qiming Sun , Emanuel Gull , Dominika Zgid

We present a method to calculate many-body states of interacting carriers in million atom quantum nanostructures based on atomistic tight-binding calculations and a combination of iterative selection of configurations and perturbation…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 Moritz Cygorek , Matthew Otten , Marek Korkusinski , Pawel Hawrylak

The GW approximation is a cornerstone of many-body perturbation theory for computing single-particle excitations, yet it fundamentally breaks down in strongly correlated systems where the single-reference picture fails. To overcome this…

Chemical Physics · Physics 2026-04-20 Yuqi Wang , Wei-Hai Fang , Zhendong Li

The numerical solution of the many-body problem of interacting electrons and ions is a key challenge in condensed matter physics, chemistry, and materials science. Traditional methods to solve the multi-component quantum Hamiltonian are…

Materials Science · Physics 2025-10-24 Lorenzo Monacelli , Antonio Siciliano , Nicola Marzari

Tailoring the properties of correlated oxides is accomplished by chemical doping, pressure, temperature or magnetic field. Photoexcitation is a valid alternative to reach out-of-equilibrium states otherwise inaccessible. Here, we…

We present a workflow of practical calculations of electron-phonon (e-ph) coupling with many-electron correlation effects included using the GW perturbation theory (GWPT). This workflow combines BerkeleyGW, ABINIT, and EPW software packages…

Materials Science · Physics 2024-09-20 Zhenglu Li , Gabriel Antonius , Yang-Hao Chan , Steven G. Louie

We have constructed a perturbation theory to treat interactions that can include the Coulomb interaction, describing a physical problem that is often encountered in nuclear physics. The Coulomb part is not treated perturbatively; the exact…

Quantum Physics · Physics 2023-05-09 Scott E. Hoffmann

The gas of the interacted electrons is usually described within Kohn-Sham approximation by the set of Poisson and Schr\"{o}dinger equations with an effective potential for the single-particle wave functions. The solution of these equations…

Materials Science · Physics 2007-05-23 A. Ya. Shul'man , D. V. Posvyanskii

A newly developed hypergeometric resummation technique [H. Mera et al., Phys. Rev. Lett. 115, 143001 (2015)] provides an easy-to-use recipe to obtain conserving approximations within the self-consistent nonequilibrium many-body perturbation…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Hector Mera , Thomas Garm Pedersen , Branislav K. Nikolic

$GW$ 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