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We present a many-body $GW$ formalism for quantum subsystems embedded in discrete polarizable environments containing up to several hundred thousand atoms described at a fully ab initio random phase approximation level. Our approach is…

Chemical Physics · Physics 2024-01-26 David Amblard , Xavier Blase , Ivan Duchemin

The many-body wave-function of an interacting one-dimensional electron system is probed, focusing on the low-density, strong interaction regime. The properties of the wave-function are determined using tunneling between two long, clean,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Steinberg , O. M. Auslaender , A. Yacoby , J. Qian , G. A. Fiete , Y. Tserkovnyak , B. I. Halperin , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We evaluate the one-particle and double-occupied Green functions for the Hubbard model at half-filling using the moment approach of Nolting. Our starting point is a self-energy, $\Sigma(\vec{k},\omega)$, which has a single pole,…

Condensed Matter · Physics 2016-08-15 S. Schafroth , J. J. Rodríguez-Núñez

Local field correction effects on intra-layer inelastic scattering rate of interacting electrons are theoretically investigated in a coupled-quantum-wells structure, at finite temperature. At first, temperature dependent dynamic dielectric…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Vahdat Rafee , Alireza Razeghizadeh , Abdolrasoul Gharaati

Various threshold effects are investigated on a discrete quasi-1D scattering system. In particular, one of these effects is to add corrections to Levinson's theorem. We explain how these corrections are due to the opening or to the closing…

Mathematical Physics · Physics 2025-09-17 T. T. Nguyen , D. Parra , S. Richard

A cardinal obstacle to understanding and predicting quantitatively the properties of solids and large molecules is that, for these systems, it is very challenging to describe beyond the mean-field level the quantum-mechanical interactions…

Strongly Correlated Electrons · Physics 2020-09-14 Nicola Lanatà

Time dependent quantum systems are the subject of intense inquiry, in mathematics, science, and engineering, particularly at the atomic and molecular levels. In 1984, Runge and Gross introduced time dependent density functional theory…

Analysis of PDEs · Mathematics 2021-02-24 Joseph W. Jerome

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

In this paper we investigate higher-order corrections to the energies of bound states in hydrogen subjected to the external blackbody radiation field. In particular, within the framework of thermal quantum electrodynamics and $S$-matrix…

Atomic Physics · Physics 2023-10-10 T. Zalialiutdinov , D. Solovyev

The spectral properties of an interacting many-body system may display critical character and have potential applications in precision metrology. Here, we demonstrate such many-body enhanced metrology for microwave (MW) electric fields in a…

Quantum Physics · Physics 2022-10-19 Dong-Sheng Ding , Zong-Kai Liu , Bao-Sen Shi , Guang-Can Guo , Klaus Mølmer , Charles S. Adams

We study the long-range Coulomb interaction effects on the double-Weyl fermion system which is possibly realized in the three dimensional semimetal HgCr$_2$Se$_4$ in the ferromagnetic phase. Within the one-loop renormalization group…

Strongly Correlated Electrons · Physics 2015-06-22 Hsin-Hua Lai

We present an inequality that gives a lower bound on the expectation value of certain two-body interaction potentials in a general state on Fock space in terms of the corresponding expectation value for thermal equilibrium states of…

Mathematical Physics · Physics 2009-11-11 Robert Seiringer

A formalism for energy-dependent many-body perturbation theory (MBPT), previously indicated in our recent review articles (Lindgren et al., Phys.Rep. 389,161(2004), Can.J.Phys. 83,183(2005)), is developed in more detail. The formalism…

Quantum Physics · Physics 2009-11-13 Ingvar Lindgren , Sten Salomonson , Daniel Hedendahl

We develop a variational approach at finite temperature that incorporates many-body correlation self-consistently. The grand potential is constructed in terms of Green's function expressed by the variational parameters. We apply this…

Quantum Gases · Physics 2019-05-30 Akimitsu Kirikoshi , Wataru Kohno , Takafumi Kita

The existence of many-body mobility edges in closed quantum systems has been the focus of intense debate after the emergence of the description of the many-body localization phenomenon. Here we propose that this issue can be settled in…

Strongly Correlated Electrons · Physics 2019-05-01 Xing Bo Wei , Chen Cheng , Gao Xianlong , Rubem Mondaini

A general formalism for the treatment of density fluctuations in Coulomb plasmas is presented and applied to the treatment of temperature relaxation in multi-component quantum plasmas when the separate components (electrons and ions) relax…

Plasma Physics · Physics 2015-10-06 Basil Crowley

The Breit correction, the finite-light-speed correction for the Coulomb interaction of the electron-electron interaction in $ O \left( 1/ c^2 \right) $, is introduced to density functional theory (DFT) based on the non-relativistic…

Computational Physics · Physics 2020-10-20 Tomoya Naito , Ryosuke Akashi , Haozhao Liang , Shinji Tsuneyuki

The electronic and magnetic properties of many strongly-correlated systems are controlled by a limited number of states, located near the Fermi level and well isolated from the rest of the spectrum. This opens a formal way for combining the…

Strongly Correlated Electrons · Physics 2010-07-15 I. V. Solovyev

We study the uniform electron gas with a gap model in the context of density functional theory. Based on this analysis, we construct two local gap models that realize generalized gradient approximation (GGA) correlation functionals…

Other Condensed Matter · Physics 2015-01-22 E. Fabiano , P. E. Trevisanutto , A. Terentjevs , L. A. Constantin

We present quasiparticle (QP) energies from fully self-consistent $GW$ (sc$GW$) calculations for a set of prototypical semiconductors and insulators within the framework of the projector-augmented wave methodology. To obtain converged…

Materials Science · Physics 2018-10-31 Manuel Grumet , Peitao Liu , Merzuk Kaltak , Jiří Klimeš , Georg Kresse