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We have developed a self-consistent conserving pseudo particle approximation for the Anderson impurity model with finite Coulomb interaction, derivable from a Luttinger Ward functional. It contains an infinite series of skeleton diagrams…

Strongly Correlated Electrons · Physics 2020-04-20 K. Haule , S. Kirchner , J. Kroha , P. Wölfle

We use the Matsubara functional renormalization group (FRG) to describe electronic correlations within the single impurity Anderson model. In contrast to standard FRG calculations, we account for the frequency-dependence of the two-particle…

Strongly Correlated Electrons · Physics 2009-11-13 C. Karrasch , R. Hedden , R. Peters , Th. Pruschke , K. Schönhammer , V. Meden

Salmhofer [Commun. Math. Phys. 194, 249 (1998)] has recently developed a new renormalization group method for interacting Fermi systems, where the complete flow from the bare action of a microscopic model to the effective low-energy action,…

Strongly Correlated Electrons · Physics 2009-10-31 Christoph J. Halboth , Walter Metzner

We explore the predictions of the renormalized perturbation theory for an n-channel Anderson model, both with and without Hund's rule coupling, in the regime away from particle-hole symmetry. For the model with n=2 we deduce the…

Strongly Correlated Electrons · Physics 2015-05-19 Yunori Nishikawa , Daniel D. G. Crow , Alex C. Hewson

In a previous work (N. H. Tong, Phys. Rev. B 92, 165126 (2015)), an equation-of-motion based series expansion formalism was used to do the second-order strong-coupling expansion for the single-particle Green function of the Anderson…

Strongly Correlated Electrons · Physics 2022-02-09 Kou-Han Ma , Ning-Hua Tong

We introduce a method to obtain the specific heat of quantum impurity models via a direct calculation of the impurity internal energy requiring only the evaluation of local quantities within a single numerical renormalization group (NRG)…

Strongly Correlated Electrons · Physics 2012-08-29 L. Merker , T. A. Costi

Correlated electron physics is intrinsically a multiscale problem, since high-energy electronic states screen the interactions between the correlated electrons close to the Fermi level, thereby reducing the magnitude of the interaction…

Strongly Correlated Electrons · Physics 2025-11-06 Anton Pauli , Akshat Mishra , Malte Rösner , Erik G. C. P. van Loon

We present a novel technique for the calculation of dynamical correlation functions of quantum impurity systems in equilibrium with Wilson's numerical renormalization group. Our formulation is based on a complete basis set of the Wilson…

Strongly Correlated Electrons · Physics 2009-11-11 Robert Peters , Thomas Pruschke , Frithjof B. Anders

The symmetric Anderson impurity model, with a soft-gap hybridization vanishing at the Fermi level with power law r > 0, is studied via the numerical renormalization group (NRG). Detailed comparison is made with predictions arising from the…

Strongly Correlated Electrons · Physics 2009-10-31 Ralf Bulla , Matthew T Glossop , David E Logan , Thomas Pruschke

We present a technique for calculating non-equilibrium Green functions for impurity systems with local interactions. We use an analogy to the calculation of response functions in the x-ray problem.The initial state and the final state…

Strongly Correlated Electrons · Physics 2009-10-30 T. A. Costi

We apply a recently introduced hybridization-flow functional renormalization group scheme for Anderson-like impurity models as an impurity solver in a dynamical mean-field theory (DMFT) approach to lattice Hubbard models. We present how…

Strongly Correlated Electrons · Physics 2013-11-21 Michael Kinza , Carsten Honerkamp

The renormalization-group method is used to analyze the low-temperature behaviour of a two-dimentional, spin-$s$ quantum Heisenberg ferromagnet. A set of recursion equations is derived in an one-loop approximation. The low-temperature…

Condensed Matter · Physics 2009-10-28 Naoum Karchev

We analyze the one-dimensional extended Hubbard model with a single static impurity by using a computational technique based on the functional renormalization group. This extends previous work for spinless fermions to spin-1/2 fermions. The…

Strongly Correlated Electrons · Physics 2007-05-23 S. Andergassen , T. Enss , V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

A comparative study of the numerical renormalization group and non-crossing approximation results for the spectral functions of the $U=\infty$ Anderson impurity model is carried out. The non-crossing approximation is the simplest conserving…

Condensed Matter · Physics 2009-10-28 T. A. Costi , J. Kroha , P. Wolfle

Using the functional renormalization group (FRG) and the numerical renormalization group (NRG), we calculate the spectral function of the Anderson impurity model at zero and finite temperatures. In our FRG scheme spin fluctuations are…

Strongly Correlated Electrons · Physics 2010-08-31 Aldo Isidori , David Roosen , Lorenz Bartosch , Walter Hofstetter , Peter Kopietz

We apply the renormalized perturbation theory (RPT) to the symmetric Anderson impurity model. Within the RPT framework exact results for physical observables such as the spin and charge susceptibility can be obtained in terms of the…

Strongly Correlated Electrons · Physics 2015-06-19 Vassilis Pandis

We present the renormalization group analysis for the problem of a spin-S impurity in nearly ferromagnetic Fermi liquid. We evaluate the renormalization group function that governs the temperature behavior of the invariant charge to the…

Strongly Correlated Electrons · Physics 2007-05-23 I. S. Burmistrov

It has been recently suggested that when an Anderson impurity is immersed in the bulk of a topological insulator, a Kondo resonant peak will appear simultaneously with an in-gap bound-state when the band-dispersion has an…

Strongly Correlated Electrons · Physics 2014-01-07 Igor Kuzmenko , Yshai Avishai , Tai Kai Ng

We develop a perturbative renormalization-group method in real time to describe nonequilibrium properties of discrete quantum systems coupled linearly to an environment. We include energy broadening and dissipation and develop a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Herbert Schoeller , Jürgen König

We show that the RKKY interaction in the two-impurity Anderson model comprise two contributions: a ferromagnetic part stemming from the symmetrized hybridization functions and an anti-ferromagnetic part. We demonstrate that this…

Strongly Correlated Electrons · Physics 2018-09-26 Fabian Eickhoff , Benedikt Lechtenberg , Frithjof B. Anders