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Magnetic impurities embedded in a metal interact via an effective Ruderman-Kittel-Kasuya-Yosida (RKKY) coupling mediated by the conduction electrons, which is commonly assumed to be long ranged, with an algebraic decay in the inter-impurity…

Strongly Correlated Electrons · Physics 2015-03-05 Andrew Allerdt , C. A. Busser , G. B. Martins , A. E. Feiguin

The interplay between the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction and the Kondo effect is expected to provide the driving force for the emergence of many phenomena in strongly correlated electron materials. Two magnetic impurities…

We study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in various Kondo lattice systems. We argue that the weak Kondo-coupling expansion contains certain physics which is lost in the usual static approximation to the spin…

Strongly Correlated Electrons · Physics 2026-02-04 Siqi Shao , Yang Ge , Yashar Komijani

Resistivity minima are commonly seen in itinerant magnets and they are often attributed to the Kondo effect. However, recent experiments are revealing an increasing number of materials showing resistivity minima in the absence of…

Strongly Correlated Electrons · Physics 2020-05-29 Zhentao Wang , Cristian D. Batista

We address the physics of a regular arrangement of independent magnetic impurities embedded in a band of interacting electrons. We focus on the one-dimensional case that can be studied using bosonization and in which the electron bulk is…

Strongly Correlated Electrons · Physics 2025-12-24 Tomás Bortolin , C. J. Bolech , Nayana Shah , Aníbal Iucci

Two spatially separated magnetic impurities coupled to itinerant electrons give rise to a dynamically generated exchange (RKKY) inter-impurity interaction that competes with the individual Kondo screening of the impurities. It has been…

Strongly Correlated Electrons · Physics 2023-09-04 Pol Alonso-Cuevillas Ferrer , Oleg M. Yevtushenko , Andreas Weichselbaum

We investigate theoretically the transport properties of two independent artificial Kondo impurities. They are coupled together via a tunable Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction. For strong enough antiferromagnetic RKKY…

Strongly Correlated Electrons · Physics 2009-11-10 Pascal Simon , Rosa Lopez , Yuval Oreg

The cooperative behavior of quantum impurities on 2D materials, such as graphene and bilayer graphene, is characterized by a non-trivial competition between screening (Kondo effect), and Ruderman-Kittel-Kasuya-Yosida (RKKY) magnetism. In…

Strongly Correlated Electrons · Physics 2017-03-08 A. Allerdt , A. E. Feiguin , S. Das Sarma

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

In a Kondo lattice, the spin exchange coupling between a local spin and the conduction electrons acquires nonlocal contributions due to conduction electron scattering from surrounding local spins and the subsequent RKKY interaction. It…

Strongly Correlated Electrons · Physics 2017-03-16 Ammar Nejati , Katinka Ballmann , Johann Kroha

We study the Kondo chain in the regime of high spin concentration where the low energy physics is dominated by the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction. As has been recently shown (A. M. Tsvelik and O. M. Yevtushenko, Phys. Rev.…

Mesoscale and Nanoscale Physics · Physics 2016-06-23 D. Schimmel , A. M. Tsvelik , O. M. Yevtushenko

Quantum dots exhibit a variety of strongly correlated effects, e.g., when tuned to emulate localized magnetic impurities that form a Kondo singlet with their surrounding environment. Interestingly, in double-dots setups, the magnetic…

Strongly Correlated Electrons · Physics 2024-06-19 Lidia Stocker , Oded Zilberberg

We measure transport through gold grain quantum dots fabricated using electromigration, with magnetic impurities in the leads. A Kondo interaction is observed between dot and leads, but the presence of magnetic impurities results in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 H. B. Heersche , Z. de Groot , J. A. Folk , L. P. Kouwenhoven , H. S. J. van der Zant , A. A. Houck , J. Labaziewicz , I. L. Chuang

We study the tuning mechanisms of the Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interaction between two lateral quantum dots in the Kondo regime. At zero magnetic field we observe the expected splitting of the Kondo resonance and…

Strongly Correlated Electrons · Physics 2015-05-20 Daniel Tutuc , Bogdan Popescu , Dieter Schuh , Werner Wegscheider , Rolf J. Haug

Ballistic transport of helical edge modes in two-dimensional topological insulators is protected by time-reversal symmetry. Recently it was pointed out [1] that coupling of non-interacting helical electrons to an array of randomly…

Mesoscale and Nanoscale Physics · Physics 2015-12-31 O. M. Yevtushenko , A. Wugalter , V. I. Yudson , B. L. Altshuler

We investigate the equilibrium and real-time properties of the spin correlation function $\langle \vec{S}_1\vec{S}_2 \rangle$ in the two-impurity Kondo model for different distances $R$ between the two-impurity spins. It is shown that the…

Strongly Correlated Electrons · Physics 2018-08-21 Benedikt Lechtenberg , Frithjof B. Anders

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction of magnetic impurities in a superconductor exponentially decreases when the distance $r$ between them is larger than the superconductor's coherence length, because this interaction is…

Superconductivity · Physics 2018-09-10 A. G. Mal'shukov

Magnetic interactions between impurity spins play a crucial role in determining magnetic configurations in spintronic systems. Using a Green's function formalism, we investigate Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interactions…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Anirban Kundu

We consider the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities on the surface of a three-dimensional topological insulator with proximity induced superconductivity. A superconductor placed on the top of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Alexander A. Zyuzin , Daniel Loss

We study the RKKY interaction mediated by the helical edge states of a quantum spin Hall insulator in the presence of the Rashba spin-orbital coupling induced by an external electric field and the electron-electron interaction. We show that…

Mesoscale and Nanoscale Physics · Physics 2015-02-05 Yu-Wen Lee , Yu-Li Lee
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