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A generalized Anderson single-impurity model with off-site Coulomb interactions is derived from the extended three-band Hubbard model, originally proposed to describe the physics of the copper-oxides. Using the abelian bosonization…

Condensed Matter · Physics 2009-10-28 Guang-Ming Zhang , Zhao-Bin Su , Lu Yu

We consider the Kondo effect in Y-junctions of anisotropic XY models in an applied magnetic field along the critical lines characterized by a gapless excitation spectrum. We find that, while the boundary interaction Hamiltonian describing…

Strongly Correlated Electrons · Physics 2016-06-28 Domenico Giuliano , Pasquale Sodano , Arturo Tagliacozzo , Andrea Trombettoni

The impurity Green function and dynamical susceptibilties for the two-channel Anderson impurity model are calculated. An exact expression for the self-energy of the impurity Green function is derived. The imaginary part of the self-energy…

Strongly Correlated Electrons · Physics 2007-05-23 Frithjof B. Anders

Using detailed balance and scaling properties of integrals that appear in the Coulomb gas reformulation of quantum impurity problems, we establish exact relations between the nonequilibrium transfer rates of the boundary sine-Gordon and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Holger Baur , Andrea Fubini , Ulrich Weiss

We show that a junction of three off-critical quantum Ising chains can be regarded as a quantum spin chain realization of the two-channel spin-1/2 overscreened Kondo effect with two superconducting leads. We prove that, as long as the Kondo…

Strongly Correlated Electrons · Physics 2016-11-28 Domenico Giuliano , Gabriele Campagnano , Arturo Tagliacozzo

We consider a quantum dot with ${\cal K}{\geq} 2$ orbital levels occupied by two electrons connected to two electric terminals. The generic model is given by a multi-level Anderson Hamiltonian. The weak-coupling theory at the particle-hole…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 D. B. Karki , Christophe Mora , Jan von Delft , Mikhail N. Kiselev

We investigate a model of two Kondo impurities coupled via an Ising interaction. Exploiting the mapping to a generalized single-impurity Anderson model, we establish that the model has a singlet and a (pseudospin) doublet phase separated by…

Strongly Correlated Electrons · Physics 2007-05-23 Markus Garst , Stefan Kehrein , Thomas Pruschke , Achim Rosch , Matthias Vojta

The exact Green's functions of the periodic Anderson model for $U\to \infty $ are formally expressed within the cumulant expansion in terms of an effective cumulant. Here we resort to a calculation in which this quantity is approximated by…

Strongly Correlated Electrons · Physics 2009-10-31 M. E. Foglio , M. S. Figueira

In this report, we describe a recent development in a Fermi liquid theory for the Kondo effect in quantum dots under a finite bias voltage $V$. Applying the microscopic theory of Yamada and Yosida to a nonequilibrium steady state, we derive…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Akira Oguri

We study an extended SU(N) single-impurity Kondo model in which the impurity spin is described by a combination of Abrikosov fermions and Schwinger bosons. Our aim is to describe both the quasiparticle-like excitations and the locally…

Strongly Correlated Electrons · Physics 2013-05-29 Andres Jerez , Mireille Lavagna , Damien Bensimon

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

The variant of the single-impurity Kondo problem in which the conduction-band density of states has a power-law pseudogap at the Fermi energy is known to exhibit a zero-temperature phase transition at a finite exchange coupling. The…

Strongly Correlated Electrons · Physics 2007-05-23 Kevin Ingersent , Qimiao Si

The effective spin Hamiltonian of a triple quantum dot with odd electron occupation weakly connected in series with left ($l$) and right ($r$) metal leads is composed of two-channel exchange and co-tunneling terms. Renormalization group…

Strongly Correlated Electrons · Physics 2007-05-23 T. Kuzmenko , K. Kikoin , Y. Avishai

We calculate the exact Green function of a special model of N coupled Luttinger chains with arbitrary interchain hopping t_{perp}. The model is exactly solvable via bosonization if the interchain interaction does not fall off in the…

Strongly Correlated Electrons · Physics 2009-10-30 Lorenz Bartosch , Peter Kopietz

Using a path integral approach and bosonization, we calculate the low energy asymptotics of the one particle Green's function for a ``magnetically incoherent'' one dimensional strongly interacting electron gas at temperatures much greater…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Leon Balents

The thermodynamics of a lattice regularized asymmetric Anderson impurity in a correlated host is obtained by an exact solution. The crossover from the Anderson- to the Kondo-regime is studied, thus making contact with predictions by scaling…

Strongly Correlated Electrons · Physics 2009-11-11 Michael Bortz , Andreas Klümper , Christian Scheeren

The quantum criticality of the two-lead two-channel pseudogap Anderson model is studied. Based on the non-crossing approximation, we calculate both the linear and nonlinear conductance of the model at finite temperatures with a voltage bias…

Strongly Correlated Electrons · Physics 2016-05-04 Tsan-Pei Wu , Chung-Hou Chung

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

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

It has been claimed that an impurity hopping between two sites in a metal can lead to non--Fermi liquid behavior if the bias between the two sites is tuned to zero. Here it is shown that several extra tunnelling processes are allowed; those…

Condensed Matter · Physics 2009-10-28 Aris L. Moustakas , Daniel S. Fisher