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In this paper, we propose a generic and systematic approach for study of the electronic structure for atoms or molecules. In particular, we address the issue of single particle states, or orbitals, which should be one of the most important…

Chemical Physics · Physics 2007-05-23 Liqiang Wei

In this work we calculate the exact Green's function for arbitrary rectangular potentials. Specifically we focus on Green's function for rectangular quantum wells enlarging the knowledge of exact solutions for Green's functions and also…

Quantum Physics · Physics 2014-04-21 Fabiano M. Andrade

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

Although maximum entropy method (maxEnt method) is currently the standard algorithm for extracting real frequency information from imaginary frequency Green function, still this method is beset with overfitting problem, which manifests…

Computational Physics · Physics 2018-11-06 Enzhi Li

We investigate spectral quantities of quantum graphs by expanding them as sums over pseudo orbits, sets of periodic orbits. Only a finite collection of pseudo orbits which are irreducible and where the total number of bonds is less than or…

Mathematical Physics · Physics 2015-06-05 Ram Band , Jonathan M. Harrison , Christopher H. Joyner

The uniform asymptotic approximation method provides a powerful, systematically-improved, and error-controlled approach to construct accurate analytical approximate solutions of mode functions of perturbations of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-08 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng

We bring forward a Green function approach for the prediction of Floquet topological phases in driven superconductor-semiconductor hybrids. Although it is common to treat the superconducting component as a mere Cooper-pair reservoir, it was…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Mohamed Assili , Panagiotis Kotetes

The results of part I (hep-ph/9612284) are used to obtain full asymptotic expansions of Feynman diagrams renormalized within the MS-scheme in the regimes when some of the masses and external momenta are large with respect to the others. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. B. Pivovarov , F. V. Tkachov

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

Boundary effects produced by a Chern-Simons (CS) extension to electrodynamics are analyzed exploiting the Green's function (GF) method. We consider the electromagnetic field coupled to a $\theta$-term in a way that has been proposed to…

Other Condensed Matter · Physics 2015-12-23 A. Martín-Ruiz , M. Cambiaso , L. F. Urrutia

Hedin's $GW$ approximation to the electronic self-energy has been impressively successful to calculate quasiparticle energies, such as ionization potentials, electron affinities, or electronic band structures. The success of this fairly…

Chemical Physics · Physics 2024-10-31 Arno Förster , Fabien Bruneval

We give details on how to calculate spectral functions and Green's functions for finite systems using the Chebyshev polynomial expansion method. We apply the method to a finite Anderson impurity system, and furthermore give details on how…

Strongly Correlated Electrons · Physics 2015-11-04 M. Hyrkäs , D. Karlsson , R. van Leeuwen

In this paper, the Green function theory of quantum many-particle systems recently presented is reworked within the framework of nonextensive statistical mechanics with a new normalized $q$-expectation values. This reformulation introduces…

Condensed Matter · Physics 2009-10-31 E. K. Lenzi , R. S. Mendes , A. K. Rajagopal

Here, we develop a gauge-independent Green function approach to characterize the Chern invariants of generic non-Hermitian systems. It is shown that analogous to the Hermitian case, the Chern number can be expressed as an integral of the…

Optics · Physics 2019-04-03 Mário G. Silveirinha

We calculate the quasiparticle effective mass for the electron gas in two and three dimensions in the metallic region. We employ the single particle scattering potential coming from the Sj\"{o}lander-Stott theory and enforce the Friedel sum…

Condensed Matter · Physics 2009-10-28 Andrey Krakovsky , J. K. Percus

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

We propose a method for estimating smooth real-frequency self-energy in the dynamical mean-field theory with the finite-temperature exact diagonalization (DMFT-ED). One of the benefits of DMFT-ED calculations is that one can obtain…

Strongly Correlated Electrons · Physics 2019-06-10 Yuki Nagai , Hiroshi Shinaoka

A completely antisymmetrized Green's function approach to the inclusive quasielastic $(e,e')$ scattering, including a realistic one-body density, is presented. The single particle Green's function is expanded in terms of the eigenfunctions…

Nuclear Theory · Physics 2009-11-10 F. Capuzzi , C. Giusti , F. D. Pacati , D. N. Kadrev

Determining the properties of molecules and materials is one of the premier applications of quantum computing. A major question in the field is: how might we use imperfect near-term quantum computers to solve problems of practical value? We…

Quantum Physics · Physics 2023-08-29 Phillip W. K. Jensen , Peter D. Johnson , Alexander A. Kunitsa

We present an approach for self-consistent calculations of the many-body Green function in transition metals. The distinguishing feature of our approach is the use of the one-site approximation and the self-consistent quasiparticle wave…

Strongly Correlated Electrons · Physics 2009-11-07 N. E. Zein , V. P. Antropov