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It is well known that the ground states of a Fermi liquid with and without a single Kondo impurity have an overlap which decays as a power law of the system size, expressing the Anderson orthogonality catastrophe. Ground states with two…

Strongly Correlated Electrons · Physics 2015-03-02 Sergei L. Lukyanov , Hubert Saleur , Jesper L. Jacobsen , Romain Vasseur

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 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 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

A spin-1/2 magnetic impurity coupled to a one-dimensional correlated electron system have been studied by applying the density renormalization group method. The Kondo temperature is substantially enhanced by strong repulsive interactions in…

Strongly Correlated Electrons · Physics 2009-10-30 Xiaoqun Wang

A characteristic feature of the BCS theory of superconductivity is the quantum-mechanical coherence of particle and hole states. Direct observation of particle-hole coherence in unusual superconducting materials is a strong indication of…

Superconductivity · Physics 2010-11-16 D. Rainer , H. Burkhardt , M. Fogelstrom , J. A. Sauls

We present a general model of disorder in Kondo alloys that, under certain conditions, leads to non-Fermi liquid behavior. The central underlying idea is the presence of a distribution of local Kondo temperature scales. If this distribution…

Strongly Correlated Electrons · Physics 2008-02-03 E. Miranda , V. Dobrosavljevic , G. Kotliar

Behavior of Andreev gap states in a quantum dot with Coulomb repulsion symmetrically attached to superconducting leads is studied via the perturbation expansion in the interaction strength. We find the exact asymptotic form of the…

Mesoscale and Nanoscale Physics · Physics 2017-01-17 V. Janiš , V. Pokorný , M. Žonda

The low-temperature behavior of the asymmetric single-impurity Anderson model is studied by diagrammatic methods resulting in analytically controllable approximations. We first discuss the ways one can simplify parquet equations in critical…

Strongly Correlated Electrons · Physics 2008-09-16 V Janis , P. Augustinsky

We present an analytic universal impurity solver for strongly correlated electrons. We extend the many-body perturbation expansion via suitable two-particle renormalizations from the Fermi-liquid regime to the critical region of the…

Strongly Correlated Electrons · Physics 2008-09-16 V. Janis , P. Augustinsky

We study superconductivity in a two-dimensional, disordered marginal Fermi liquid. At the semiclassical level, the transition temperature $T_c$ is strongly suppressed because marginal Fermi liquid effects destroy well-defined…

Superconductivity · Physics 2023-12-07 Tsz Chun Wu , Patrick A. Lee , Matthew S. Foster

We study the interplay between the spin-liquid and Kondo physics, as related to the non-magnetic part of the phase diagram of heavy fermion materials. Within the unrestricted mean-field treatment of the infinite-$U$ 2D Anderson-Heisenberg…

Strongly Correlated Electrons · Physics 2009-11-13 Jian-Xin Zhu , I. Martin , A. R. Bishop

We consider the universal scaling behaviour of the Kondo resonance in the strong coupling limit of the symmetric Anderson impurity model, using a recently developed local moment approach. The resultant scaling spectrum is obtained in closed…

Strongly Correlated Electrons · Physics 2009-11-07 Nigel L Dickens , David E Logan

The Kondo effect has been playing an important role in strongly correlated electon systems. The important point is that the magnetic impurity in metals is a typical example of the Fermi liquid. In the system the local spin is conserved in…

Strongly Correlated Electrons · Physics 2009-11-10 Hiroshi Kontani , Kosaku Yamada

The single impurity Kondo problem in the one-dimensional $\delta$-potential Fermi gas is exactly solved for two sets of special coupling constants via Bethe ansatz. It is found that ferromagnetic Kondo screening does occur in one case which…

Condensed Matter · Physics 2009-10-28 Yupeng Wang , Johannes Voit

We extend the Fermi liquid theory of Nozi\`eres by introducing the next-to-leading order corrections to the Fermi liquid fixed point. For a general SU(N) Kondo impurity away from half-filling, this extension is necessary to compute…

Strongly Correlated Electrons · Physics 2009-09-23 Christophe Mora

The (111) surface of Cu, Ag and Au is characterized by a band of surface Shockley states, with constant density of states beginning slightly below the Fermi energy. These states as well as bulk states hybridize with magnetic impurities…

Strongly Correlated Electrons · Physics 2017-02-01 J. Fernández , A. A. Aligia , P. Roura-Bas , J. A. Andrade

The topological properties of a multiband topological superconductor in two dimensions are studied, when the latter is obtained by introducing electron pairing in an otherwise topological insulator. The type of pairing, doping and Fermi…

Superconductivity · Physics 2015-05-20 Ana C. Silva , Miguel A. N. Araújo , Pedro D. Sacramento

It is shown that the large-N approach yields two energy scales for the Kondo lattice model. The single-impurity Kondo temperature, $T_K$, signals the onset of local singlet formation, while Fermi liquid coherence sets in only below a lower…

Strongly Correlated Electrons · Physics 2009-10-31 S. Burdin , A. Georges , D. R. Grempel

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