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We study the real-time dynamics of a two-dimensional Anderson--Hubbard model using nonequilibrium self-consistent perturbation theory within the second-Born approximation. When compared with exact diagonalization performed on small…

Disordered Systems and Neural Networks · Physics 2016-03-11 Yevgeny Bar Lev , David R. Reichman

Using a general-order ab initio many-body Green's function method, we numerically illustrate several pathological behaviors of the Feynman-Dyson diagrammatic perturbation expansion of one-particle many-body Green's functions as electron…

Quantum Physics · Physics 2024-04-29 So Hirata , Ireneusz Grabowski , J. V. Ortiz , Rodney J. Bartlett

The explicit semiclassical treatment of logarithmic perturbation theory for the nonrelativistic bound states problem is developed. Based upon $\hbar$-expansions and suitable quantization conditions a new procedure for deriving perturbation…

Quantum Physics · Physics 2008-11-26 I. V. Dobrovolska , R. S. Tutik

Resonant tunnelling through an Anderson impurity is investigated by employing a new perturbation scheme at nonequilibrium. This new approach gives the correct weak and strong coupling limit in $U$ by introducing adjustable parameters in the…

Strongly Correlated Electrons · Physics 2009-10-31 Luis Craco , Kicheon Kang

In this paper we compare the construction of equilibrium states at finite temperature for self-interacting massive scalar quantum field theories on Minkowski spacetime proposed by Fredenhagen and Lindner with results obtained in ordinary…

Mathematical Physics · Physics 2020-02-19 João Braga de Góes Vasconcellos , Nicolò Drago , Nicola Pinamonti

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

A major challenge in the field of correlated electrons is the computation of dynamical correlation functions. For comparisons with experiment, one is interested in their real-frequency dependence. This is difficult to compute, as…

Strongly Correlated Electrons · Physics 2024-04-09 Anxiang Ge , Nepomuk Ritz , Elias Walter , Santiago Aguirre , Jan von Delft , Fabian B. Kugler

We extend the self-consistent Green's functions formalism to take into account three-body interactions. We analyze the perturbative expansion in terms of Feynman diagrams and define effective one- and two-body interactions, which allows for…

Nuclear Theory · Physics 2013-12-03 Arianna Carbone , Andrea Cipollone , Carlo Barbieri , Arnau Rios , Artur Polls

The scaling properties of the conductance of a Kondo impurity connected to two leads that are in or out of equilibrium has been extensively studied, both experimentally and theoretically. From these studies, a consensus has emerged…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Eran Sela , Justin Malecki

This paper is concerned with the out-of-equilibrium two-lead Kondo model, considered as a model of a quantum dot in the Kondo regime. We revisit the perturbative expansion of the dot's magnetization, and conclude that, even at order 0 in…

Strongly Correlated Electrons · Physics 2009-11-07 O. Parcollet , C. Hooley

We study the Gauged Thirring Model (also known as Kondo Model) in thermodynamic equilibrium using the Matsubara-Fradkin-Nakanishi formalism. In this formulation, both the temperature and the chemical potential are kept to be nonvanishing.…

High Energy Physics - Theory · Physics 2018-01-30 C. A. Bonin , B. M. Pimentel

The real part of the self-energy of interacting two-dimensional electrons has been calculated in the t-matrix approximation. It is shown that the forward scattering results in an anomalous term leading to the vanishing renormalization…

Strongly Correlated Electrons · Physics 2009-10-30 Ken Yokoyama , Hidetoshi Fukuyama

We generate the perturbative expansion of the single-particle Green's function and related self-energy for a half-filled single-band Hubbard model on a square lattice. We invoke algorithmic Matsubara integration to evaluate single-particle…

Strongly Correlated Electrons · Physics 2021-09-15 Bradley D. E. McNiven , G. Todd Andrews , James P. F. LeBlanc

In the framework of direct perturbation theory a fully self-consistent approximation beyond the well known NCA will be presented for the Anderson Model. The resummation of a class of skeleton diagrams up to infinite order in $V$ includes…

Condensed Matter · Physics 2009-10-22 F. B. Anders

We use the Kubo-Landauer formalism to compute the longitudinal (two-terminal) conductance of a two dimensional electron system placed in a strong perpendicular magnetic field, and subjected to periodic modulations and/or disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Chenggang Zhou , Mona Berciu

The onset of nonequilibrium in a driven Anderson-insulator is identified by monitoring the system with two-thermometers. Features of nonequilibrium appear at surprisingly weak drive intensity demonstrating, among other things, that…

Disordered Systems and Neural Networks · Physics 2024-01-31 Z. Ovadyahu

We consider a version of the symmetric Anderson impurity model (compactified) which has a non-Fermi liquid weak coupling regime. We find that in the Majorana fermion representation, perturbation theory can be conveniently developed in terms…

Condensed Matter · Physics 2009-10-28 Guang-Ming Zhang , A. C. Hewson

We apply the recently proposed quasi-classical approach for a second quantized many-electron Hamiltonian in Cartesian coordinates [J. Chem. Phys. 137, 154107 (2012)] to correlated nonequilibrium quantum transport. The approach provides…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Bin Li , Tal J. Levy , David W. H. Swenson , Eran Rabani , William H. Miller

A generalized Anderson model for a magnetic ion in a harmonic potential is formulated. The model is investigated by the numerical renormalization group(NRG) method. In addition to the conventional s-wave screening, the model exhibits phonon…

Strongly Correlated Electrons · Physics 2015-05-19 Satoshi Yashiki , Shunsuke Kirino , Kazuo Ueda

The method of many body Green's functions is used to derive algebraic expressions for the different elastic and thermodynamical quantities such as the free energy, internal energy, entropy, heat capacity, elastic constants (adiabatic and…

Other Condensed Matter · Physics 2016-07-12 Ville J. Härkönen