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The Green's function coupled cluster (GFCC) method is a powerful many-body tool for computing the electronic structure of molecular and periodic systems, especially when electrons of the system are strongly correlated. However, for the GFCC…

Computational Physics · Physics 2019-04-18 Bo Peng , Roel Van Beeumen , David B. Williams-Young , Karol Kowalski , Chao Yang

Within the self-energy embedding theory (SEET) framework, we study coupled cluster Green's function (GFCC) method in two different contexts: as a method to treat either the system or environment present in the embedding construction. Our…

Chemical Physics · Physics 2022-07-05 Avijit Shee , Chia-Nan Yeh , Dominika Zgid

In this study, we have calculated single-electron energy spectra via the Green's function based on the coupled-cluster singles and doubles (GFCCSD) method for isolated atoms from H to Ne. In order to check the accuracy of the GFCCSD method,…

Materials Science · Physics 2018-07-26 Hirofumi Nishi , Taichi Kosugi , Yoritaka Furukawa , Yu-ichiro Matsushita

We present an efficient implementation of the Generalized Green's function Cluster Expansion (GGCE), which is a new method for computing the ground-state properties and dynamics of polarons (single electrons coupled to lattice vibrations)…

Computational Physics · Physics 2023-10-16 Matthew R. Carbone , Stepan Fomichev , Andrew J. Millis , Mona Berciu , David R. Reichman , John Sous

The cumulant expansion of the Green's function is a computationally efficient beyond-$GW$ approach renowned for its significant enhancement of satellite features in materials. In contrast to the ubiquitous $GW$ approximation of many-body…

Chemical Physics · Physics 2024-02-27 Pierre-François Loos , Antoine Marie , Abdallah Ammar

We demonstrate that the effective Hamiltonians obtained with the downfolding procedure based on double unitary coupled cluster (DUCC) ansatz can be used in the context of Greens function coupled cluster (GFCC) formalism to calculate…

Computational Physics · Physics 2020-12-02 Nicholas P Bauman , Bo Peng , Karol Kowalski

Embedding theories became important approaches used for accurate calculations of both molecules and solids. In these theories, a small chosen subset of orbitals is treated with an accurate method, called an impurity solver, capable of…

Chemical Physics · Physics 2023-03-20 Avijit Shee , Chia-Nan Yeh , Bo Peng , Karol Kowalski , Dominika Zgid

We discuss the analytic and diagrammatic structure of ionization potential (IP) and electron affinity (EA) equation-of-motion coupled-cluster (EOM-CC) theory, in order to put it on equal footing with the prevalent $GW$ approximation. The…

Chemical Physics · Physics 2019-04-16 Malte F. Lange , Timothy C. Berkelbach

We generalize the family of approximate momentum average methods to formulate a numerically exact, convergent hierarchy of equations whose solution provides an efficient algorithm to compute the Green's function of a particle dressed by…

Strongly Correlated Electrons · Physics 2021-08-05 Matthew R. Carbone , David R. Reichman , John Sous

We study the single-band Hubbard model under the action of an external magnetic field using the cumulant Green's functions method (CGFM). The starting point of the method is to diagonalize a cluster containing N correlated sites (seed) and…

Strongly Correlated Electrons · Physics 2023-04-12 Renan Lira , Peter Riseborough , Jereson Silva-Valencia , Marcos Figueira

In recent years, Green's function methods have garnered considerable interest due to their ability to target both charged and neutral excitations. Among them, the well-established $GW$ approximation provides accurate ionization potentials…

Chemical Physics · Physics 2023-08-31 Enzo Monino , Pierre-François Loos

Green's function methods within many-body perturbation theory provide a general framework for treating electronic correlations in excited states. Here we investigate the cumulant form of the one-electron Green's function based on the…

Chemical Physics · Physics 2021-04-23 F. D. Vila , J. J. Rehr , J. J. Kas , K. Kowalski , B. Peng

The cumulant expansion is a powerful approach for including correlation effects in electronic structure calculations beyond the GW approximation. However, current implementations are incomplete since they ignore terms that lead to partial…

Strongly Correlated Electrons · Physics 2014-02-04 J. J. Kas , J. J. Rehr , L. Reining

Coupled cluster Green's function (GFCC) calculation has drawn much attention in the recent years for targeting the molecular and material electronic structure problems from a many body perspective in a systematically improvable way.…

Chemical Physics · Physics 2021-04-23 Bo Peng , Ajay Panyala , Karol Kowalski , Sriram Krishnamoorthy

Coupled-cluster (CC) theory and Green's function many-body perturbation theory (MBPT) have long evolved as distinct yet complementary frameworks for describing electronic correlation. While CC methods employ exponential wavefunction…

Single-particle resonances are crucial for exotic nuclei near and beyond the drip lines. Since the majority of nuclei are deformed, the interplay between deformation and orbital structure near threshold becomes very important and can lead…

Nuclear Theory · Physics 2020-02-05 T. -T. Sun , L. Qian , C. Chen , P. Ring , Z. P. Li

We present a real-time second-order Green's function (GF) method for computing excited states in molecules and nanostructures, with a computational scaling of $O(N_{\rm e}^3$), where $N_{\rm e}$ is the number of electrons. The cubic scaling…

Chemical Physics · Physics 2024-01-29 Leopoldo Mejía , Jia Yin , David R. Reichman , Roi Baer , Chao Yang , Eran Rabani

Using the cluster expansions for n-point Green functions we derive a closed set of dynamical equations of motion for connected equal-time Green functions by neglecting all connected functions higher than $4^{th}$ order for the $\lambda…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. M. Haeuser , W. Cassing , A. Peter , M. H. Thoma

Tailored coupled cluster theory represents a computationally inexpensive way to describe static and dynamical electron correlation effects. In this work, we scrutinize the performance of various tailored coupled cluster methods externally…

Chemical Physics · Physics 2021-03-24 Aleksandra Leszczyk , Mihály Máté , Örs Legeza , Katharina Boguslawski

In the molecular quantum chemistry community, coupled-cluster (CC) methods are well-recognized for their systematic convergence and reliability. The extension of the theory to extended systems has been comparably recent, so that…

Chemical Physics · Physics 2024-10-31 Andreas Grüneis , Evgeny Moerman , Matthias Scheffler , Tonghao Shen , Igor Ying Zhang
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