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We address the phenomenon of critical Kondo destruction in pseudogap Bose-Fermi Anderson and Kondo quantum impurity models. These models describe a localized level coupled both to a fermionic bath having a density of states that vanishes…

Strongly Correlated Electrons · Physics 2013-12-31 J. H. Pixley , Stefan Kirchner , Kevin Ingersent , Qimiao Si

The recently developed energy-scale-dependent Composite Operator Method is applied to the single-impurity Anderson model. A fully self-consistent solution is given and analyzed. At very low temperatures, the density of states presents, on…

Strongly Correlated Electrons · Physics 2007-05-23 Adolfo Avella , Ferdinando Mancini , Roland Hayn

Double quantum dots offer unique possibilities for the study of many-body correlations. A system containing one Kondo dot and one effectively noninteracting dot maps onto a single-impurity Anderson model with a structured (nonconstant)…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 Luis Dias da Silva , Nancy Sandler , Kevin Ingersent , Sergio Ulloa

The Anderson impurity model for finite values of the Coulomb repulsion $U$ is studied using a slave boson representation for the empty and doubly occupied $f$-level. In order to avoid well known problems with a naive mean field theory for…

Condensed Matter · Physics 2009-10-22 J. Holm , R. Kree , K. Schönhammer

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 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

The applicability of bosonization and the Anderson-Yuval (AY) approach at strong coupling is investigated by considering two generic impurity models: the multichannel interacting resonant-level and the anisotropic Kondo models. The two…

Strongly Correlated Electrons · Physics 2008-11-06 L. Borda , A. Schiller , A. Zawadowski

Quantum impurity models are the prototypical examples of quantum many-body dynamics which manifests in their spectral and transport properties. Single channel Anderson(and Kondo model) leads to the Fermi liquid ground state in the strong…

Strongly Correlated Electrons · Physics 2017-11-30 Rukhsan Ul Haq , Anirban Sharma

The spin-fermion model has long been used to describe the quantum-critical behavior of 2d electron systems near an antiferromagnetic (AFM) instability. Recently, the standard procedure to integrate out the fermions to obtain an effective…

Strongly Correlated Electrons · Physics 2008-02-21 Tilman Enss , Sergio Caprara , Claudio Castellani , Carlo Di Castro , Marco Grilli

In this paper we introduce a solvable two-orbital/band model with infinite-range Hatsugai-Kohmoto interaction, which serves as a modified periodic Anderson model. Its solvability results from strict locality in momentum space, and is valid…

Strongly Correlated Electrons · Physics 2022-10-12 Yin Zhong

In his renormalization paper of the Kondo effect Wilson replaced the full band of s-electrons by a small number of ''Wilson states''. He started from a rather artificial symmetric band with constant density of states and constant…

Strongly Correlated Electrons · Physics 2007-08-27 Gerd Bergmann

We investigate the Fermi polaron problem in a spin-1/2 Fermi gas in an optical lattice for the limit of both strong repulsive contact interactions and one dimension. In this limit, a polaronic-like behaviour is not expected, and the physics…

Quantum Gases · Physics 2017-07-11 C. W. Duncan , F. F. Bellotti , P. Öhberg , N. T. Zinner , M. Valiente

The double series approximation method of Bonnor is a means for examining the gravitational radiation from an axisymmetric isolated source that undergoes a finite period of oscillation. It involves an expansion of the metric as a double…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. S. Piper

Criticality in models of correlated electrons emerges in proximity of a low-temperature singularity in a two-particle Green function. Such singularities are generally related to a symmetry breaking of the one-particle self-energy. A…

Strongly Correlated Electrons · Physics 2017-01-17 Václav Janiš , Anna Kauch , Vladislav Pokorný

We apply the functional renormalization group method to the calculation of dynamical properties of zero-dimensional interacting quantum systems. As case studies we discuss the anharmonic oscillator and the single impurity Anderson model. We…

Strongly Correlated Electrons · Physics 2009-11-10 R. Hedden , V. Meden , Th. Pruschke , K. Schoenhammer

Central to condensed matter physics are quantum impurity models, which describe how a local degree of freedom interacts with a continuum. Surprisingly, these models are often universal in that they can quantitatively describe many outwardly…

Mesoscale and Nanoscale Physics · Physics 2014-03-04 A. J. Keller , S. Amasha , I. Weymann , C. P. Moca , I. G. Rau , J. A. Katine , Hadas Shtrikman , G. Zaránd , D. Goldhaber-Gordon

The self-energy method for quantum impurity models expresses the correlation part of the self-energy in terms of the ratio of two Green's functions and allows for a more accurate calculation of equilibrium spectral functions than is…

Strongly Correlated Electrons · Physics 2021-11-24 H. T. M. Nghiem , T. A. Costi

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

Based on the Green's function (GF) equation-of-motion formalism, we develop a method to expand the double time Green's function into Taylor series of the parameter $\lambda$ in the Hamiltonian $H=H_0 + \lambda H_1$. Here $H_0$ is the…

Strongly Correlated Electrons · Physics 2015-11-04 Ning-Hua Tong

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
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