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The self-energy method for quantum impurity models expresses the correlation part of the self-energy in terms of the ratio of two Green's functions and allows for a more accurate calculation of equilibrium spectral functions than is…

Strongly Correlated Electrons · Physics 2021-11-24 H. T. M. Nghiem , T. A. Costi

A system of equations resulting from an approximation of the equation of motion of Green functions for correlated electron systems is usually solved using Matsubara technique. In this work we propose an alternative method which works…

Strongly Correlated Electrons · Physics 2007-05-23 M. Letz , F. Marsiglio

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

We present the fundamental techniques and working equations of many-body Green's function theory for calculating ground state properties and the spectral strength. Green's function methods closely relate to other polynomial scaling…

Nuclear Theory · Physics 2017-06-28 Carlo Barbieri , Arianna Carbone

The theory of Self-Consistent Green's Function (SCGF) is reformulated in an explicit Nambu-covariant fashion for applications to many-body systems at non-zero temperature in symmetry-broken phases. This is achieved by extending the…

Nuclear Theory · Physics 2025-07-09 M. Drissi , A. Rios , C. Barbieri

We introduce an improved approach for obtaining smooth finite-temperature spectral functions of quantum impurity models using the numerical renormalization group (NRG) technique. It is based on calculating first the Green's function on the…

Strongly Correlated Electrons · Physics 2013-07-10 Žiga Osolin , Rok Žitko

We present a new charge self-consistent scheme combining Density Functional and Dynamical Mean Field Theory, which uses Green's function of multiple scattering-type. In this implementation the many-body effects are incorporated into the…

Strongly Correlated Electrons · Physics 2017-10-11 A. Östlin , L. Vitos , L. Chioncel

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

A well-established method to deal with highly correlated systems is based on the expansion of the Green's function in terms of spectral moments. In the context of the Composite Operator Method one approximation is proposed: a set of n…

Strongly Correlated Electrons · Physics 2007-05-23 F. Mancini

The self-consistent theory of the correlation effects in Highly Correlated Systems(HCS) is presented. The novel Irreducible Green's Functions(IGF) method is discused in detail for the Hubbard model and random Hubbard model. The…

Strongly Correlated Electrons · Physics 2008-02-03 A. L. Kuzemsky

The properties of symmetric nuclear matter are investigated within the Green's functions approach. We have implemented an iterative procedure allowing for a self-consistent evaluation of the single-particle and two-particle propagators. The…

Nuclear Theory · Physics 2009-11-10 T. Frick , H. Müther

We present an algorithm for solving the self-consistency equations of the dynamical mean-field theory (DMFT) with high precision and efficiency at low temperatures. In each DMFT iteration, the impurity problem is mapped to an auxiliary…

Strongly Correlated Electrons · Physics 2013-06-11 D. Rost , F. Assaad , N. Blümer

The single particle Green's function provides valuable information on the momentum and energy-resolved spectral properties for a strongly correlated system. In large-scale numerical calculations using quantum Monte Carlo (QMC), dynamical…

Strongly Correlated Electrons · Physics 2024-10-01 Maksymilian Kliczkowski , Lauren Keyes , Sayantan Roy , Thereza Paiva , Mohit Randeria , Nandini Trivedi , Maciej M. Maska

Hybrid spectral-spatial representations are introduced to rapidly calculate periodic scalar and dyadic Green's functions of the Helmholtz equation for 2D and 3D configurations with a 1D (linear) periodicity. The presented schemes work…

Computational Physics · Physics 2015-05-13 Derek Van Orden , Vitaliy Lomakin

With the aim of identifying universal trends, we compare fully self-consistent electronic spectra and total energies obtained from the GW approximation with those from an extended GWGamma scheme that includes a nontrivial vertex function…

Materials Science · Physics 2007-05-23 Arno Schindlmayr , Thomas J. Pollehn , R. W. Godby

We present a novel spectral method for the Allen-Cahn equation on spheres, eliminating the reliance on conventional quadrature exactness conditions. By replacing these conditions with a restricted isometry relation derived from…

Numerical Analysis · Mathematics 2025-08-20 Hao-Ning Wu , Xiaoming Yuan

We develop a reliable parameter-free analytic continuation method for quantum many-body calculations. Our method is based on a kernel grid, a causal spline, a regularization using the second-derivative roughness penalty, and the L-curve…

Strongly Correlated Electrons · Physics 2023-01-03 Mancheon Han , Hyoung Joon Choi

We theoretically examine the finite-temperature spectral function of Fermi polarons in three dimensions, by using a self-consistent many-body $T$-matrix theory in real frequency. In comparison with the previous results from a…

Quantum Gases · Physics 2024-06-27 Hui Hu , Xia-Ji Liu

The electromagnetic interaction with quarks is investigated through a relativistic, electromagnetic gauge-invariant treatment. Gluon dressing of the quark-photon vertex and the quark self-energy functions is described by the inhomogeneous…

Nuclear Theory · Physics 2009-09-25 Michael R. Frank

In this paper, we propose a new analytic continuation method to extract real frequency spectral functions from imaginary frequency Green's functions of quantum many-body systems. This method is based on the pole representation of Matsubara…

Strongly Correlated Electrons · Physics 2024-05-15 Li Huang , Shuang Liang
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