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The single impurity Kondo model at zero temperature in a magnetic field is solved by a semi-analytical approach based on the flow equation method. The resulting problem is shown to be equivalent to a resonant level model with a non-constant…

Strongly Correlated Electrons · Physics 2009-11-07 C. Slezak , S. Kehrein , Th. Pruschke , M. Jarrell

We discuss the realization of the quantum-critical non-Fermi liquid state, originally discovered within the two-impurity Kondo model, in double quantum-dot systems. Contrary to the common belief, the corresponding fixed point is robust…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gergely Zarand , Chung-Hou Chung , Pascal Simon , Matthias Vojta

We theoretically investigate the non-equilibrium quantum phase transition in a generic setup: the pseudogap Kondo model where a quantum dot couples to two-left (L) and right (R)-voltage-biased fermionic leads with power-law density of…

Strongly Correlated Electrons · Physics 2015-05-28 Chung-Hou Chung , Kenneth Yi-Jie Zhang

The Kondo effect in a one-dimensional spin-1/2 XXZ model in the gapless XY regime (-1<Delta<=1) is studied both analytically and numerically. In our model an impurity spin (S=1/2) is coupled to a single spin in the XXZ spin chain.…

Strongly Correlated Electrons · Physics 2009-10-31 A. Furusaki , T. Hikihara

Low temperature zero-bias conductance through two side-coupled quantum dots is investigated using Wilson's numerical renormalization group technique. A low-temperature phase diagram is computed. Near the particle-hole symmetric point…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 J. Bonca , R. Zitko

The Kato-Bloch perturbation formalism is used to present a density-matrix renormalization-group (DMRG) method for strongly anisotropic two-dimensional systems. This method is used to study Heisenberg chains weakly coupled by the transverse…

Strongly Correlated Electrons · Physics 2009-11-10 S. Moukouri

Nanoelectronic quantum dot devices exploiting the charge-Kondo paradigm have been established as versatile and accurate analog quantum simulators of fundamental quantum impurity models. In particular, hybrid metal-semiconductor dots…

Strongly Correlated Electrons · Physics 2022-09-07 Emma L. Minarelli , Jonas B. Rigo , Andrew K. Mitchell

We study transport through a quantum dot coupled to normal and superconducting leads using the numerical renormalization group method. We show that the low-energy properties of the system are described by the local Fermi liquid theory…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yoichi Tanaka , Norio Kawakami , Akira Oguri

We reexamine basic aspects of a nonequilibrium steady state in the Kondo problem for a quantum dot under a bias voltage using a reduced density matrix, which is obtained in the Fock space by integrating out one of the two conduction…

Strongly Correlated Electrons · Physics 2015-06-25 Akira Oguri

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

On the basis of an idea of the electron-hole relation between $f^2$ and $f^4$ states in a $j$-$j$ coupling scheme, we point out a possibility that two-channel Kondo phenomena can be observed even in cubic transuranium compounds including Np…

Strongly Correlated Electrons · Physics 2020-09-16 Dai Matsui , Takashi Hotta

We describe a formulation to deduce the phase shifts, which determine the ground-state properties of interacting quantum-dot systems with the inversion symmetry, from the fixed-point eigenvalues of the numerical renormalization group (NRG).…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 A. Oguri , Y. Nisikawa , A. C. Hewson

We present exact results on the non-equilibrium current fluctuations for 2 quantum dots in series throughout a crossover from non-Fermi liquid to Fermi liquid behavior described by the 2 impurity Kondo model. The result corresponds to…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Eran Sela , Ian Affleck

The two-channel Kondo impurity model realizes a local non-Fermi liquid state with finite residual entropy. The competition between the two channels drives the system to an impurity quantum critical point. We show that the…

Strongly Correlated Electrons · Physics 2017-10-16 Balázs Dóra , Miklós Antal Werner , Catalin Pascu Moca

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

We show that a double quantum-dot system made of diluted magnetic semiconductor behaves unlike usual molecules. In a semiconductor double quantum dot or in a diatomic molecule, the ground state of a single carrier is described by a…

Other Condensed Matter · Physics 2009-11-11 Wei Zhang , Tianming Dong , Alexander O. Govorov

We predict a new type of the negative-$U$ Anderson impurity formed in a triple quantum dot. The two dots of the system behave as a negative-$U$ impurity preferring zero or double electron occupancy rather than single occupancy, and the…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 Gwangsu Yoo , Jinhong Park , S. -S. B. Lee , H. -S. Sim

Many-body correlations and macroscopic quantum behaviors are fascinating condensed matter problems. A powerful test-bed for the many-body concepts and methods is the Kondo model which entails the coupling of a quantum impurity to a…

Mesoscale and Nanoscale Physics · Physics 2016-02-08 Z. Iftikhar , S. Jezouin , A. Anthore , U. Gennser , F. D. Parmentier , A. Cavanna , F. Pierre

The quantum mechanical ground state of a 2D $N$-electron system in a confining potential $V(x)=Kv(x)$ ($K$ is a coupling constant) and a homogeneous magnetic field $B$ is studied in the high density limit $N\to\infty$, $K\to \infty$ with…

Condensed Matter · Physics 2009-10-28 E. H. Lieb , J. P. Solovej , J. Yngvason

An Anderson model for a magnetic impurity in a two-dimensional electron gas with bulk Rashba spin-orbit interaction is solved using the numerical renormalization group under two different experimental scenarios. For a fixed Fermi energy,…

Strongly Correlated Electrons · Physics 2016-03-02 Arturo Wong , Sergio E. Ulloa , Nancy Sandler , Kevin Ingersent
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