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We present two new developments for computing excited state energies within the $GW$ approximation. First, calculations of the Green's function and the screened Coulomb interaction are decomposed into two parts: one is deterministic while…

计算物理 · 物理学 2020-10-28 Mariya Romanova , Vojtěch Vlček

Despite recent advances, systematic quantitative treatment of the electron correlation problem in extended systems remains a formidable task. Systematically improvable Green's function methods capable of quantitatively describing weak and…

化学物理 · 物理学 2016-11-15 Alexander A. Rusakov , Dominika Zgid

The second-order Green's function method (GF2) was shown recently to be an accurate self-consistent approach for electronic structure of correlated systems since the self-energy accounts for both the weak and some of the strong correlation.…

化学物理 · 物理学 2016-03-31 Daniel Neuhauser , Roi Baer , Dominika Zgid

In a generic random system, the coexistence of extended and localized states can be evidenced by the subextensive width of energy distribution of a physical initial state in, for example, the quantum quenches which involving the local…

统计力学 · 物理学 2024-05-28 Chen-Huan Wu

We investigate the performance of Green's function coupled cluster singles and doubles (CCSD) method as a solver for Green's function embedding methods. To develop an efficient CC solver, we construct the one-particle Green's function from…

强关联电子 · 物理学 2019-06-11 Avijit Shee , Dominika Zgid

We present a new quantum embedding theory called dynamical configuration interaction (DCI) that combines wave function and Green's function theories. DCI captures static correlation in a correlated subspace with configuration interaction…

化学物理 · 物理学 2019-11-21 Marc Dvorak , Dorothea Golze , Patrick Rinke

This article presents an overview on recent progress in the theory of nonequilibrium Green functions (NEGF). NEGF, presently, are the only \textit{ab-initio} quantum approach that is able to study the dynamics of correlations for long times…

强关联电子 · 物理学 2019-12-20 N. Schluenzen , S. Hermanns , M. Scharnke , M. Bonitz

Density matrix embedding theory (DMET) [Phys. Rev. Lett., 109, 186404 (2012)], introduced a new approach to quantum cluster embedding methods, whereby the mapping of strongly correlated bulk problems to an impurity with finite set of bath…

强关联电子 · 物理学 2015-06-24 George H. Booth , Garnet Kin-Lic Chan

We present the concept, derivation, and implementation of dynamical configuration interaction, a quantum embedding theory that combines Green's function methodology with the many-body wave function. In a strongly-correlated active space, we…

化学物理 · 物理学 2019-04-03 Marc Dvorak , Patrick Rinke

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…

We examine the performance of the density matrix embedding theory (DMET) recently proposed in [G. Knizia and G. K.-L. Chan, Phys. Rev. Lett. 109, 186404 (2012)]. The core of this method is to find a proper one-body potential that generates…

强关联电子 · 物理学 2020-12-07 Masataka Kawano , Chisa Hotta

Precise algorithms capable of providing controlled solutions in the presence of strong interactions are transforming the landscape of quantum many-body physics. Particularly exciting breakthroughs are enabling the computation of non-zero…

Site-occupation embedding theory (SOET) [B. Senjean et al., Phys. Rev. B 97, 235105 (2018)] is an in-principle exact embedding method combining wavefunction theory and density functional theory that gave promising results when applied to…

强关联电子 · 物理学 2019-08-01 Bruno Senjean

In this work, we present a nonlocal expansion scheme to study correlated electron systems aiming at a better description of its spatial fluctuations at all length scales. Taking the nonlocal coupling as a perturbation to the local degrees…

强关联电子 · 物理学 2015-05-05 Gang Li

We present the diagrammatic theory of the irreducible self-energy and Bethe-Salpeter kernel that naturally arises within the Green's function formalism for a general $N$-body non-hermitian interaction. In this work, we focus specifically on…

强关联电子 · 物理学 2026-01-23 Christopher J. N. Coveney , David P. Tew

Nuclear structure theory has recently gone through a major renewal with the development of ab initio techniques that can be applied to a large number of atomic nuclei, well beyond the light sector that had been traditionally targeted in the…

核理论 · 物理学 2020-10-09 Vittorio Somà

We propose a nonlocal theory of single-particle excitations. It is based on an off-diagonal effective medium and the projection operator method for treating the retarded Green function. The theory determines the nonlocal effective medium…

强关联电子 · 物理学 2015-05-14 Y. Kakehashi , T. Nakamura , P. Fulde

We introduce a spectral embedding algorithm for finding proximal relationships between nodes in signed graphs, where edges can take either positive or negative weights. Adopting a physical perspective, we construct a Hamiltonian which is…

物理与社会 · 物理学 2023-02-15 Shazia'Ayn Babul , Renaud Lambiotte

Quantum embedding based on the (one-electron reduced) density matrix is revisited by means of the unitary Householder transformation. While being exact and equivalent to (but formally simpler than) density matrix embedding theory (DMET) in…

强关联电子 · 物理学 2021-07-12 Sajanthan Sekaran , Masahisa Tsuchiizu , Matthieu Saubanère , Emmanuel Fromager

We present an embedding scheme for periodic systems that facilitates the treatment of the physically important part (here the unit cell) with advanced electronic-structure methods, that are computationally too expensive for periodic…

材料科学 · 物理学 2016-04-08 Wael Chibani , Xinguo Ren , Matthias Scheffler , Patrick Rinke