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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

We study spin configurations of classical magnetic impurities placed close to the edge of a two-dimensional topological superconductor both analytically and numerically. First, we demonstrate that the spin of a single magnetic impurity…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 Katharina Laubscher , Dmitry Miserev , Vardan Kaladzhyan , Daniel Loss , Jelena Klinovaja

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities, mediated by Dirac surface states on the surface of a topological insulator, leads to impurities ferromagnetic ordering. We present a self-consistent theory of…

Mesoscale and Nanoscale Physics · Physics 2014-03-28 D. K. Efimkin , V. Galitski

We study theoretically the RKKY interaction between magnetic impurities on the surface of three-dimensional topological insulators, mediated by the helical Dirac electrons. Exact analytical expression shows that the RKKY interaction…

Materials Science · Physics 2012-06-18 Jia-Ji Zhu , Dao-Xin Yao , Shou-Cheng Zhang , Kai Chang

It is generally believed that superconductivity only weakly affects the indirect exchange between magnetic impurities. If the distance r between impurities is smaller than than the superconducting coherence length (r < \xi), this exchange…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Norman Y. Yao , Leonid I. Glazman , Eugene A. Demler , Mikhail D. Lukin , Jay D. Sau

Using the multiband model we analyze the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between the magnetic impurities in layered ferropnictide superconductors. In the normal state the interaction is spin isotropic and is dominated by…

Strongly Correlated Electrons · Physics 2011-10-14 Alireza Akbari , Ilya Eremin , Peter Thalmeier

Of fundamental interest in the field of spintronics is the mechanism of indirect exchange coupling between magnetic impurities embedded in metallic hosts. A range of physical features, such as magnetotransport and overall magnetic moment…

Mesoscale and Nanoscale Physics · Physics 2015-01-22 Paul D. Gorman , John M. Duffy , Stephen R. Power , Mauro S. Ferreira

We theoretically study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities in both Dirac and Weyl semimetals (SMs). We find that the internode process, as well as the unique three-dimensional spin-momentum…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Hao-Ran Chang , Jianhui Zhou , Shi-Xiong Wang , Wen-Yu Shan , Di Xiao

We have systematically investigated the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two magnetic impurities in Weyl semimetals with arbitrary monopole charge $Q$. We find that the RKKY interaction becomes intrinsically…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Yong Sun , Anmin Wang

We calculated the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between the magnetic impurities mediated by electrons in nanoribbons. It was shown that the RKKY interaction is strongly dependent on the width of the nanoribbon and the…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 Shuo Mi , Shuo-Hong Yuan , Pin Lyu

We present a comprehensive theoretical analysis of magnetic heterostructures composed of ferromagnetic (FM) layers interfaced with three-dimensional topological insulators (TIs). Integrating out the topological surface states and computing…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Christian Svingen Johnsen , Asle Sudbø

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

We determine theoretically the interaction between two magnetic impurities embedded in a spin-split $s$-wave superconductor. The spin-splitting in the superconductor gives rise to two different interaction types between the impurity spins,…

Superconductivity · Physics 2022-02-07 Atousa Ghanbari , Jacob Linder

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 analyze the Ruderman-Kettel-Kasuya-Yosida(RKKY) interaction between magnetic impurities embedded in the helical metal on the surface of three-dimensional topological insulators. Apart from the conventional RKKY terms, the spin-momentum…

Materials Science · Physics 2015-05-18 Fei Ye , Guo-Hui Ding , Hui Zhai , Zhao-Bin Su

A form of an indirect Ruderman-Kittel-Kasuya-Yosida (RKKY)-like coupling between magnetic on-site impurities in armchair graphene nanoribbons is studied theoretically. The calculations are based on a tight-binding model for a finite…

Mesoscale and Nanoscale Physics · Physics 2013-04-05 Karol Szałowski

Ruderman-Kittel-Kasuya-Yosida (RKKY) is an essential long range magnetic interaction between magnetic impurities or magnetic layered structures, the magnitude of which oscillates with the distance ($\mathrm{R}$) between them. We have…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Anirban Kundu , M. B. A. Jalil

The indirect exchange interaction between magnetic impurities located in the bulk of a two-dimensional topological insulator decays exponentially with the distance. The indirect exchange interaction for magnetic impurities mediated by the…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 V. D. Kurilovich , P. D. Kurilovich , I. S. Burmistrov

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

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
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