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We analyze the screening of a magnetic quantum dot with spin 1/2 coupled to two helical liquids. Interestingly, we find two qualitatively different sets of Toulouse points, i.e., nontrivial parameters for which we can solve the two channel…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 Thore Posske , Chao-Xing Liu , Jan Carl Budich , Björn Trauzettel

Scanning tunneling miscoscopy is one of the most powerful spectroscopic tools for single-electron excitations. We show that the conductance fluctuations, or noise in the conductance, of a tunneling current into an interacting electron…

Strongly Correlated Electrons · Physics 2009-02-03 Kelly R. Patton , Hartmut Hafermann , Sergej Brener , Alexander I. Lichtenstein , Mikhail I. Katsnelson

Quantum entanglement between an impurity spin and electrons nearby is a key property of the single-channel Kondo effects. We show that the entanglement can be detected by measuring electron conductance through a double quantum dot in an…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Gwangsu Yoo , Seung-Sup B. Lee , H. -S. Sim

We consider the spatial spin correlations around a partially screened spin-1 magnetic moment in a metal exhibiting the underscreened Kondo effect. We find that the underscreening of the impurity spin results in spatial spin correlations…

Strongly Correlated Electrons · Physics 2009-04-03 L. Borda , M. Garst , J. Kroha

A recent experiment [Nature 579, 210--213 (2020)] probed the extent of the Kondo cloud in 1D by measuring the effect of electrostatic perturbations applied a distance $L$ away from the impurity on $T_K$. We study the Kondo cloud in a model…

Strongly Correlated Electrons · Physics 2021-06-22 Joseph Kleinhenz , Igor Krivenko , Guy Cohen , Emanuel Gull

A fundamental prediction of scaling theories of the Kondo effect is the screening of an impurity spin by a cloud of electrons spread out over a mesoscopic distance. This cloud has never been observed experimentally. Recently, aspects of the…

Strongly Correlated Electrons · Physics 2009-10-31 Ian Affleck , Pascal Simon

Using the natural orbitals renormalization group, we studied the problem of a localized spin- 1/2 impurity coupled to two helical liquids via the Kondo interaction in a quantum spin Hall insulator, based on the Kane-Mele model defined in a…

Strongly Correlated Electrons · Physics 2023-03-28 Ru Zheng , Rong-Qiang He , Zhong-Yi Lu

The Kondo effect, a hallmark of strong correlation physics, is characterized by the formation of an extended cloud of singlet states around magnetic impurities at low temperatures. While many implications of the Kondo cloud's existence have…

Mesoscale and Nanoscale Physics · Physics 2021-06-28 André Erpenbeck , Guy Cohen

We study the spatial distribution of the Kondo screening cloud. We find that in 3 D the spatial range of the cloud is limited to distances of the order of the Fermi wavelength due to angular dispersion effects. In lower dimensions this…

Mesoscale and Nanoscale Physics · Physics 2007-08-28 Jorge Simonin

The RKKY law and the Kondo screening cloud around a magnetic impurity are investigated for correlated electrons in 1D (Luttinger liquid). We find slow algebraic distance dependences, with a crossover between both types of behavior. Monte…

Condensed Matter · Physics 2009-10-28 Reinhold Egger , Herbert Schoeller

The screening of an impurity spin in the Kondo model occurs over a characteristic length scale $\xi_K$, that defines the size of the Kondo screening cloud or ``mist". The presence of such a length sc A consistent way to show the presence of…

Strongly Correlated Electrons · Physics 2024-01-30 Erik S. Sørensen

A magnetic moment in a metal or in a quantum dot is, at low temperatures, screened by the conduction electrons through the mechanism of the Kondo effect. This gives rise to spin-spin correlations between the magnetic moment and the…

Strongly Correlated Electrons · Physics 2009-11-24 Andreas Holzner , Ian P. McCulloch , Ulrich Schollwöck , Jan von Delft , Fabian Heidrich-Meisner

Quantitative analysis of quantum many-body systems, consisting of numerous itinerant electrons that interact with localized spins or electrons, is a long-standing issue. The Kondo cloud, a quantum many-body object of conduction electrons…

We study the two-channel Kondo problem in the context of two interacting helical liquids coupled to a spin-$\frac12$ magnetic impurity. We show that the interactions between the two helical liquids significantly affect the phase diagram and…

Strongly Correlated Electrons · Physics 2024-05-07 Sourav Biswas , Alessandro De Martino , Sumathi Rao , Arijit Kundu

We analyze the crossover from Kondo to weak-link regime by means of a model of tunable bond impurities in the middle of a spin-1/2 XXZ Heisenberg chain. We study the Kondo screening cloud and estimate the Kondo length by combining…

Strongly Correlated Electrons · Physics 2019-01-01 Domenico Giuliano , Davide Rossini , Andrea Trombettoni

We analyze the Kondo effect of a magnetic impurity attached to an ultrasmall metallic wire using the density matrix renormalization group. The spatial spin correlation function and the impurity spectral density are computed for system sizes…

Strongly Correlated Electrons · Physics 2007-05-23 T. Hand , J. Kroha , H. Monien

The edge states of the recently proposed quantum spin Hall systems constitute a new symmetry class of one-dimensional liquids dubbed the ``helical liquid'', where the spin orientation is determined by the direction of electron motion. We…

Other Condensed Matter · Physics 2007-05-23 Congjun Wu , B. Andrei Bernevig , Shou-Cheng Zhang

The Kondo effect emerges when a localized spin is screened by conduction electrons, giving rise to a strongly-correlated many-body ground state. In this work, we investigate this phenomenon in a GaAs/AlGaAs quantum dot, focusing on the…

Renormalization group theory of the Kondo effect predicts that an impurity spin is screened by a conduction electron spread over a large distance of order >.1 to 1 micron. This review has the following sections: 1. The Kondo effect and the…

Strongly Correlated Electrons · Physics 2007-05-23 Ian Affleck

We study how the formation of the Kondo compensation cloud influences the dynamical properties of a magnetic impurity that tunnels between two positions in a metal. The Kondo effect dynamically generates a strong tunneling…

Strongly Correlated Electrons · Physics 2007-05-23 L. Borda , G. Zarand
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