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Two-particle Green's functions and the vertex functions play a critical role in theoretical frameworks for describing strongly correlated electron systems. However, numerical calculations at two-particle level often suffer from large…

Strongly Correlated Electrons · Physics 2018-05-16 Hiroshi Shinaoka , Junya Otsuki , Kristjan Haule , Markus Wallerberger , Emanuel Gull , Kazuyoshi Yoshimi , Masayuki Ohzeki

Several studies have so far investigated transport properties of strongly correlated systems. Interesting features of these materials are the lack of resistivity saturation well beyond the Mott-Ioffe-Regel limit and the scaling of the…

Strongly Correlated Electrons · Physics 2009-11-11 F. Rizzo , E. Cappelluti , L. Pietronero

The description of the dynamics of correlated electrons in quantum impurity models is typically described within the nonequilibrium Green function formalism combined with a suitable approximation. One common approach is based on the…

Strongly Correlated Electrons · Physics 2013-06-26 Tal J. Levy , Eran Rabani

On the basis of the tight-binding formalism and Green function technique we obtain all the Green functions matrix elements for a biased chain with a linear variation of the electron on-site energy. Their dependence on the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-11-18 Lyuba Malysheva

In general, in gauge field theories, physical observables are represented by gauge-invariant composite operators, such as the electromagnetic current. As we recently demonstrated in the context of the $U\left(1\right)$ and…

High Energy Physics - Theory · Physics 2025-03-19 Giovani Peruzzo

We consider the cumulant expansion of the PAM employing the hybridization as perturbation (Phys. Rev. B 50, 17933 (1994)), and we obtain formally exact one-electron Green's functions (GF). These GF contain effective cumulants that are as…

Strongly Correlated Electrons · Physics 2010-07-13 M. E. Foglio , T. Lobo , M. S. Figueira

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

Sub-wavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed…

Quantum Gases · Physics 2024-12-16 Simon Panyella Pedersen , Georg M. Bruun , Thomas Pohl

The $\beta\gamma$ system is generalized by complex(rational) powers of the fields, which leads to a corresponding extension on the Fock space. Two different approaches to compute the Green functions of the physical operators are proposed.…

High Energy Physics - Theory · Physics 2015-06-26 Oleg Andreev

The method of generating functional is generalized to the case of strongly correlated systems, and applied to the Hubbard model. For the electronic Green's function constructed for Hubbard operators, an equation using variational…

Strongly Correlated Electrons · Physics 2007-05-23 Yu. A. Izyumov , N. I. Chaschin , D. S. Alexeev , F. Mancini

A new scheme has been proposed to solve the B.E. condenstates in terms of Green's function approach. It has been shown that the radial wave function of two interacting atoms, moving in a common harmonic oscillator potential modified by an…

Quantum Physics · Physics 2007-05-23 Mahendra Sinha Roy

The interaction of electrons with quantized phonons and photons underlies the ultrafast dynamics of systems ranging from molecules to solids, and it gives rise to a plethora of physical phenomena experimentally accessible using…

Strongly Correlated Electrons · Physics 2021-07-21 Daniel Karlsson , Robert van Leeuwen , Yaroslav Pavlyukh , Enrico Perfetto , Gianluca Stefanucci

The Green's function method is recognized to be a very powerful tool for modelling quantum transport in nanoscale electronic devices. As atomistic calculations are generally expensive, numerical methods and related algorithms have been…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Viet-Hung Nguyen , Jean-Christophe Charlier

Transport properties of strongly correlated quantum systems are of central interest in condensed matter, ultracold atoms and in dense plasmas. There, the proper treatment of strong correlations poses a great challenge to theory. Here, we…

Strongly Correlated Electrons · Physics 2015-03-06 M. Bonitz , N. Schluenzen , S. Hermanns

A model is proposed to study the hybrid exciton in a quantum dot-dendrimer systems. The semiconductor organic hybrid exciton is studied using a "real space" Green's function method and a diagrammatic technique. The energy of the hybrid…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Nguyen Que Huong , Joseph L. Birman

By introducing multipe-site correlation functions, we propose a hierarchical Green function approach, and apply it to study the characteristic properties of a 2D square lattice Hubbard model by solving the equation of motions of a…

Strongly Correlated Electrons · Physics 2018-09-26 Yu-Liang Liu

Here we review the many aspects and distinct phenomena associated to quantum dynamics on general graph structures. For so, we discuss such class of systems under the energy domain Green's function ($G$) framework. This approach is…

Quantum Physics · Physics 2016-08-22 Fabiano M. Andrade , A. G. M. Schmidt , E. Vicentini , B. K. Cheng , M. G. E. da Luz

Energy functionals of the Green's function can simultaneously provide spectral and thermodynamic properties of interacting electrons' systems. Though powerful in principle, these formulations need to deal with dynamical…

Materials Science · Physics 2024-05-28 Tommaso Chiarotti , Andrea Ferretti , Nicola Marzari

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

Many-body functionals of the Green's function can provide fundamental advances in electronic-structure calculations, due to their ability to accurately predict both spectral and thermodynamic properties, such as angle-resolved photoemission…

Strongly Correlated Electrons · Physics 2025-08-26 Tommaso Chiarotti , Matteo Quinzi , Andrea Pintus , Mario Caserta , Andrea Ferretti , Nicola Marzari