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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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 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…

核理论 · 物理学 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…

核理论 · 物理学 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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 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…

强关联电子 · 物理学 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…

核理论 · 物理学 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…

强关联电子 · 物理学 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…

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…

计算物理 · 物理学 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…

材料科学 · 物理学 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…

数值分析 · 数学 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…

强关联电子 · 物理学 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…

量子气体 · 物理学 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…

核理论 · 物理学 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…

强关联电子 · 物理学 2024-05-15 Li Huang , Shuang Liang
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