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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

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

The interaction between two impurity spins provides vital information about the host system and has been suggested to form a building block in quantum computation and spintronic devices. We here determine this Ruderman-Kittel-Kasuya-Yosida…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Morten Amundsen , Arne Brataas , Jacob Linder

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

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 Ruderman--Kittel--Kasuya--Yosida (RKKY) interaction governs the coupling between localized spins and is strongly affected by the environment in which these spins reside. In superconductors, this interaction becomes long-ranged and…

Superconductivity · Physics 2024-05-15 Jabir Ali Ouassou , Takehito Yokoyama , Jacob Linder

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

Indirect exchange interaction between magnetic impurities in one dimensional systems is a matter of long discussions since Kittel has established that in the asymptotic limit it decays as the inverse of distance x between the impurities. In…

Mesoscale and Nanoscale Physics · Physics 2019-03-29 Joelson F. Silva , E. Vernek

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

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

In order to study the interplay between Kondo and Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, we calculate the spin-spin correlation functions between two Kondo impurities coupled to different sites of a half-filled open Hubbard…

Strongly Correlated Electrons · Physics 2013-02-28 A. C. Tiegel , P. E. Dargel , K. A. Hallberg , H. Frahm , T. Pruschke

We theoretically study the impacts of linear spin-orbit coupling (SOC) on the Ruderman-Kittel-Kasuya-Yosida interaction between magnetic impurities in two kinds of three-dimensional noncentrosymmetric systems. It has been found that linear…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Shi-Xiong Wang , Hao-Ran Chang , Jianhui Zhou

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

We present a theory for the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction mediated by a two-dimensional (2D) electron system subjected to periodic driving. This is demonstrated for a heterostructure consisting of two ferromagnets…

Mesoscale and Nanoscale Physics · Physics 2024-09-02 Mahmoud M. Asmar , Wang-Kong Tse

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

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 discuss the effects of magnetic impurities on d-wave superconductors. We calculate the electron mediated RKKY interaction between the impurity spins in a d-wave superconductor and find that it decays as $r^{-3}$ at large distances. We…

Superconductivity · Physics 2007-05-23 Patrik Henelius , A. V. Balatsky , J. R. Schrieffer

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

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…

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
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