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Based on the non-crossing approximation, we calculate both the linear and nonlinear conductance within the two-lead two-channel single-impurity Anderson model where the conduction electron density of states vanishes in a power-law fashion $…

Strongly Correlated Electrons · Physics 2013-02-20 Tsung-Han Lee , Kenneth Yi-Jieh Zhang , Chung-Hou Chung , Stefan Kirchner

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

The diagramatic Monte Carlo method has so far been primarily used in connection with the weak coupling expansion. Here we show that the strong coupling expansion offers a significant advantage: it can be efficiently implemented on both the…

Strongly Correlated Electrons · Physics 2023-11-17 Kristjan Haule

We provide an exact description of out-of-equilibrium fixed points in quantum impurity systems, that is able to treat time-dependent forcing. Building on this, we then show that analytical out-of-equilibrium results, that exactly treat…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Loïc Freton , Edouard Boulat

We reinvestigate the large degeneracy solution of the multichannel Kondo problem, and show how in the universal regime the complicated integral equations simplifying the problem can be mapped onto a first order differential equation. This…

Strongly Correlated Electrons · Physics 2009-11-10 Serge Florens

We study triangular clusters of three spin-1/2 Kondo or Anderson impurities that are coupled to two conduction leads. In the case of Kondo impurities, the model takes the form of an antiferromagnetic Heisenberg ring with Kondo-like exchange…

Mesoscale and Nanoscale Physics · Physics 2009-03-06 Rok Zitko Janez Bonca

The Kondo effect is an archetypical phenomenon in the physics of strongly correlated electron systems. Recent attention has focused on the application of Kondo physics to quantum information science by exploiting overscreened Kondo…

Strongly Correlated Electrons · Physics 2022-11-11 Elio J. König , Alexei M. Tsvelik

We solve the two-impurity two-channel Kondo model using a combination of conformal invariance and bosonisation techniques. The odd-even symmetric case is analysed in detail. The RKKY interaction turns out to be exactly marginal, resulting…

Condensed Matter · Physics 2009-10-22 A. Georges , A. Sengupta

We present a Fermi liquid approach to superconducting Kondo problems applicable when the Kondo temperature is large compared to the superconducting gap. To illustrate the theory, we study the current-phase relation and the Andreev level…

Mesoscale and Nanoscale Physics · Physics 2018-11-20 A. Zazunov , S. Plugge , R. Egger

Quantum impurity models are prevalent throughout many body physics, providing some prime examples of strongly correlated systems. Aside from being of great interest in themselves they can provide deep insight into the effects of strong…

Strongly Correlated Electrons · Physics 2020-01-08 Parameshwar R. Pasnoori , Colin Rylands , Natan Andrei

We propose an integrable Kondo problem in a one-dimensional (1D) $t-J$ model. With the open boundary condition of the wave functions at the impurity sites, the model can be exactly solved via Bethe ansatz for a class of $J_{R,L}$ (Kondo…

Strongly Correlated Electrons · Physics 2009-10-30 Yupeng Wang , Jianhui Dai , Zhanning Hu , Fu-Cho Pu

The Kondo effect, deriving from a local magnetic impurity mediating electron-electron interactions, constitutes a flourishing basis for understanding a large variety of intricate many-body problems. Its experimental implementation in…

Mesoscale and Nanoscale Physics · Physics 2023-11-29 C. Piquard , P. Glidic , C. Han , A. Aassime , A. Cavanna , U. Gennser , Y. Meir , E. Sela , A. Anthore , F. Pierre

We consider magnetic impurities coupled to a conduction sea via a fully isotropic ferromagnetic spin-exchange term, the strength of which depends on the conduction-electron modes involved in the scattering. In the single-impurity case we…

Strongly Correlated Electrons · Physics 2026-05-25 Ewan Scott , Yaqi Chen , Michael Turaev , Tarkan Yzeiri , Chris Hooley , Krzysztof P. Wójcik , Michał P. Kwasigroch

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

The Anderson impurity model is a paradigmatic example in the study of strongly correlated quantum systems and describes an interacting quantum dot coupled to electronic leads. In this work, we characterize the emergence of the Kondo effect…

Strongly Correlated Electrons · Physics 2024-03-05 Matteo M. Wauters , Chia-Min Chung , Lorenzo Maffi , Michele Burrello

The numerical renormalization group is used to study quantum entanglement in the Kondo impurity model with a pseudogapped density of states $\rho(\varepsilon)\propto|\varepsilon|^r$ ($r>0$) that vanishes at the Fermi energy $\varepsilon=0$.…

Strongly Correlated Electrons · Physics 2018-10-10 Christopher Wagner , Tathagata Chowdhury , J. H. Pixley , Kevin Ingersent

Electron scattering off an Anderson impurity immersed in the bulk of a 3D topological insulator is studied in the strong coupling regime, where the temperature $T$ is lower than the Kondo temperature $T_K$. The system displays either a…

Strongly Correlated Electrons · Physics 2016-03-04 Igor Kuzmenko , Tetyana Kuzmenko , Yshai Avishai , Tai Kai Ng

We report on exact results for the low-temperature thermodynamics of a spin-$\frac{1}{2}$ magnetic impurity coupled to a one-dimensional interacting electron system. By using boundary conformal field theory, we show that there are only two…

Condensed Matter · Physics 2009-10-28 Per Frojdh , Henrik Johannesson

The Fermi liquid paradigm for metals has contributed enormously to our understanding of condensed matter systems. However a growing number of quantum critical systems have been shown to exhibit non Fermi liquid behavior. A full…

Strongly Correlated Electrons · Physics 2020-09-02 C. -Y. Lin , Y. -Y. Chang , C. Rylands , N. Andrei , C. -H. Chung

We revisit the physics of a Kondo impurity coupled to a fermionic host with a diverging power-law density of states near the Fermi level, $\rho(\omega) \sim |\omega|^r$, with exponent $-1<r<0$. Using the analytical understanding of several…

Strongly Correlated Electrons · Physics 2013-11-13 Andrew K. Mitchell , Matthias Vojta , Ralf Bulla , Lars Fritz