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We consider a quantum impurity model in which a bosonic impurity level is coupled to a non-interacting bosonic bath, with the bosons at the impurity site subject to a local Coulomb repulsion U. Numerical renormalization group calculations…

Statistical Mechanics · Physics 2007-05-23 Hyun-Jung Lee , Ralf Bulla

We apply a two-particle semi-analytic approach to a single Anderson impurity attached to two biased metallic leads. The theory is based on reduced parquet equations justified in critical regions of singularities in the Bethe-Salpeter…

Strongly Correlated Electrons · Physics 2022-02-23 Jiawei Yan , Václav Janiš

We show how to resolve coherent low-energy features embedded in a broad high-energy background by use of a fully self-consistent calculation for composite particle operators. The method generalizes the formulation of Roth, which linearizes…

Strongly Correlated Electrons · Physics 2007-05-23 D. Villani , E. Lange , A. Avella , G. Kotliar

Exact critical exponents of the Green functions for pseudo-fermions and slave bosons in the SU($N$) Anderson model with $U\rightarrow\infty$ are obtained by using the Bethe ansatz solution and boundary conformal field theory. They are…

Condensed Matter · Physics 2009-10-28 S. Fujimoto , N. Kawakami , S. -K. Yang

We investigate the single-impurity Anderson model by means of the recently introduced modified perturbation theory. This approximation scheme yields reasonable results away from the symmetric case. The agreement with exactly known results…

Strongly Correlated Electrons · Physics 2009-10-31 D. Meyer , T. Wegner , M. Potthoff , W. Nolting

By using slave particle (slave boson and slave fermion) technique on the Bose-Hubbard model, we study the finite temperature properties of ultracold Bose gases in optical lattices. The phase diagrams at finite temperature are depicted by…

Statistical Mechanics · Physics 2009-11-11 Xiancong Lu , Jinbin Li , Yue Yu

The construction of good effective models is an essential part of understanding and simulating complex systems in many areas of science. It is a particular challenge for correlated many body quantum systems displaying emergent physics. We…

Strongly Correlated Electrons · Physics 2020-07-01 Jonas B. Rigo , Andrew K. Mitchell

A rational representation for the self--energy is explored to interpolate the solution of the Anderson impurity model in general orbitally degenerate case. Several constrains such as the Friedel's sum rule, positions of the Hubbard bands as…

Strongly Correlated Electrons · Physics 2009-11-10 S. Y. Savrasov , V. Oudovenko , K. Haule , D. Villani , G. Kotliar

We apply the method of infinitesimal unitary transformations recently introduced by Wegner to the Anderson single impurity model. It is demonstrated that this method provides a good approximation scheme for all values of the on-site…

Condensed Matter · Physics 2009-10-28 Stefan K. Kehrein , Andreas Mielke

The system of several (N) quantum dots coupled in parallel to the same single-mode conduction channel can be modelled as a single-channel N-impurity Anderson model. Using the generalized Schrieffer-Wolff transformation we show that near the…

Strongly Correlated Electrons · Physics 2007-06-13 R. Zitko , J. Bonca

We show that the functional renormalization group is a numerically cheap method to obtain the low-energy behavior of the Anderson impurity model describing a localized interacting electron coupled to a bath of conduction electrons. Our…

Strongly Correlated Electrons · Physics 2013-05-23 Simon Streib , Aldo Isidori , Peter Kopietz

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

In this Letter we study the periodic Anderson model, employing both the slave-boson and the X-boson approaches in the mean field approximation. We investigate the breakdown of the slave-boson at intermediate temperatures when the total…

Strongly Correlated Electrons · Physics 2020-10-02 Lizardo H. C. M. Nunes , M. S. Figueira , M. E. Foglio

Using an extended Anderson/Kondo impurity model to describe the magnetic moments around an impurity doped in high-$T_{\text{c}}$ d-wave cuprates and in the framework of the slave-boson meanfield approach, we study numerically the impurity…

Superconductivity · Physics 2009-11-07 Q. Han , Z. D. Wang , X. -G. Li , L. -Y. Zhang

The Kondo effects of an Anderson impurity embedded into a d-wave superconductor is studied. Within the slave-boson mean-field approach, the derived Bogoliubov-de Gennes equations are solved via exact diagonalization. We show that a critical…

Superconductivity · Physics 2009-10-31 Jian-Xin Zhu , C. S. Ting

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

Both the weakly coupled and strong coupling Anderson impurity problems are characterized by a Fermi-liquid theory with weakly interacting quasiparticles. In an Anderson box, mesoscopic fluctuations of the effective single particle…

Mesoscale and Nanoscale Physics · Physics 2012-05-07 Dong E. Liu , Sébastien Burdin , Harold U. Baranger , Denis Ullmo

In the $0+1$ dimensional imaginary-time path integral formulation of quantum impurity problems, the retarded action encodes the hybridization of the impurity with the bath. In this Article, we explore the computational power of representing…

Accurate and computationally efficient modeling of systems of interacting electrons is an outstanding problem in theoretical and computational materials science. For materials where strong electronic interactions are primarily of a…

Strongly Correlated Electrons · Physics 2021-05-19 Alexandru B. Georgescu , Minjung Kim , Sohrab Ismail-Beigi

We investigate quantum impurity problems, where a local magnetic moment is coupled to the spin density of a bosonic environment, leading to bosonic versions of the standard Kondo and Anderson impurity models. In a physical situation, these…

Strongly Correlated Electrons · Physics 2008-11-26 Serge Florens , Lars Fritz , Matthias Vojta