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Thermodynamic properties are presented for four magnetic impurity models describing delocalized fermions scattering from a localized orbital at an energy-dependent rate $\Gamma(\epsilon)$ which vanishes precisely at the Fermi level,…

Strongly Correlated Electrons · Physics 2009-10-31 Carlos Gonzalez-Buxton , Kevin Ingersent

In recent work we have shown that the Fermi liquid aspects of the strong coupling fixed point of the s-d and Anderson models can brought out more clearly by interpreting the fixed point as a renormalized Anderson model, characterized by a…

Strongly Correlated Electrons · Physics 2009-11-10 A. C. Hewson

We apply the recently developed extremely correlated Fermi liquid theory to the Anderson impurity model, in the extreme correlation limit. We develop an expansion in a parameter \lambda, related to n_d, the average occupation of the…

Strongly Correlated Electrons · Physics 2026-01-14 B. Sriram Shastry , Edward Perepelitsky , Alex C. Hewson

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

The infinite-$U$ single impurity Anderson model for rare earth alloys is examined with a new set of self-consistent coupled integral equations, which can be embedded in the large $N$ expansion scheme ($N$ is the local spin degeneracy). The…

Condensed Matter · Physics 2009-10-28 F B Anders

We use the numerical renormalization group method to study the O(3)-symmetric version of the impurity Anderson model of Coleman and Schofield. This model is of general interest because it displays both Fermi liquid and non-Fermi liquid…

Strongly Correlated Electrons · Physics 2009-10-30 R. Bulla , A. C. Hewson

We determine the impurity-induced free energy and the impurity-induced zero-field susceptibility of the symmetric single-impurity Kondo model from weak-coupling perturbation theory up to third order in the Kondo coupling at low temperatures…

Strongly Correlated Electrons · Physics 2024-03-26 Kevin Bauerbach , Florian Gebhard

We present a general formalism that allows for the computation of large-order renormalized expansions in the spacetime representation, effectively doubling the numerically attainable perturbation order of renormalized Feynman diagrams. We…

Strongly Correlated Electrons · Physics 2020-11-12 Riccardo Rossi , Fedor Simkovic , Michel Ferrero

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is solved exactly by the nested Bethe ansatz…

Mathematical Physics · Physics 2025-09-10 Renjie Song , Mingchen Zheng , Junpeng Cao , Yupeng Wang

An Anderson impurity in a Hubbard model on chains with finite length is studied using the density-matrix renormalization group (DMRG) technique. In the first place, we analyzed how the reduction of electron density from half-filling to…

Strongly Correlated Electrons · Physics 2009-11-11 S. Costamagna , C. J. Gazza , M. E. Torio , J. A. Riera

The anomalous low energy behaviour observed in metals with strong electron correlation, such as in the heavy fermion materials, is believed to arise from the scattering of the itinerant electrons with low energy spin fluctuations. In…

Strongly Correlated Electrons · Physics 2015-03-17 Khan Edwards , Alex C Hewson

We extend the renormalized perturbation theory for the single impurity Anderson model to the n-channel model with a Hund's rule coupling, and show that the exact results for the spin, orbital and charge susceptibilities, as well as the…

Strongly Correlated Electrons · Physics 2010-05-28 Y Nishikawa , D J G Crow , A C Hewson

We calculate the renormalized parameters for the quasiparticles and their interactions for the Hubbard model in the paramagnetic phase as deduced from the low energy Fermi liquid fixed point using the results of a numerical renormalization…

Strongly Correlated Electrons · Physics 2016-12-07 A. C. Hewson

We present selected results from combined analytical and numerical studies of the Anderson-impurity model within the framework of infinite order perturbation theory with respect to the hybridization. Our approximation goes considerably…

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

We consider a symmetric Anderson impurity model, with a soft-gap hybridization vanishing at the Fermi level with a power law r > 0. Three facets of the problem are examined. First the non-interacting limit, which despite its simplicity…

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

We study spin-entanglement of the quasiparticles of the local Fermi liquid excited in nonlinear current through a quantum dot described by the Anderson impurity model with two degenerate orbitals coupled to each other via an exchange…

Mesoscale and Nanoscale Physics · Physics 2018-11-07 Rui Sakano , Akira Oguri , Yunori Nishikawa , Eisuke Abe

We extend the renormalized quasiparticle description of the symmetric Anderson model in a magnetic field $H$, developed in earlier work, to the non-symmetric model. The renormalized parameters are deduced from the low energy NRG fixed point…

Strongly Correlated Electrons · Physics 2009-11-13 J. Bauer , A. C. Hewson

A new type of perturbation expansion in the mixing $V$ of localized orbitals with a conduction-electron band in the $U\to\infty$ Anderson model is presented. It is built on Feynman diagrams obeying standard rules. The local correlations of…

Condensed Matter · Physics 2009-10-22 Jan Brinckmann

The single channel Anderson impurity model is a standard model for the description of magnetic impurities in metallic systems. Usually, the bandwidth represents the largest energy scale of the problem. In this paper, we analyze the limit of…

Strongly Correlated Electrons · Physics 2009-10-31 W. Hofstetter , S. Kehrein

We study the low-temperature properties of the generalized Anderson impurity model in which two localized configurations, one with two doublets and the other with a triplet, are mixed by two degenerate conduction channels. By using the…

Strongly Correlated Electrons · Physics 2019-09-04 G. G. Blesio , L. O. Manuel , A. A. Aligia , P. Roura-Bas