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We investigate the effects of nonmagnetic disorder on the Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction in graphene by studying numerically the Anderson model with on-site and hopping disorder on a honeycomb lattice at half filling. We…

Mesoscale and Nanoscale Physics · Physics 2012-03-27 Hyunyong Lee , Junghoon Kim , E. R. Mucciolo , Georges Bouzerar , S. Kettemann

We study theoretically the statistical properties of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between localized magnetic moments in a disordered two-dimensional electron gas with both Rashba and Dresselhaus spin-orbit couplings.…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Stefano Chesi , Daniel Loss

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 Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction has been extensively explored in isotropic Dirac systems with linear dispersion, which typically follows an exponent decaying rate with the impurity distance $R$, i.e., $J\propto 1/R^d$…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Hou-Jian Duan , Yan-Yan Yang , Shi-Han Zheng , Chang-Yong Zhu , Ming-Xun Deng , Ruiqiang Wang , Mou Yang

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

The RKKY interaction between substitutional Mn local moments in GaAs is both spin-direction-dependent and spatially anisotropic. In this Letter we address the strength of these anisotropies using a semi-phenomenological tight-binding model…

Materials Science · Physics 2009-11-10 C. Timm , A. H. MacDonald

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

We report the dependence of Ruderman-Kittel-Kasuya-Yoshida\,(RKKY) interaction on nonmagmetic disorder and gate voltage in grapheme. First the semiclassical method is employed to reserve the expression for RKKY interaction in clean…

Mesoscale and Nanoscale Physics · Physics 2012-11-28 Hyunyong Lee , E. R. Mucciolo , Georges Bouzerar , S. Kettemann

We show that there are diversified Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions between magnetic impurities, mediated by itinerant electrons, in a centrosymmetric crystal respecting a nonsymmorphic space group. We take the $P4/nmm$…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Zhongyi Zhang , Shengshan Qin , Chen Fang , Jiangping Hu , Fu-chun Zhang

We study the indirect exchange interaction between two localized magnetic moments, known as Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, in a one-dimensional spin-polarized electron gas. We find explicit expressions for each term of…

Strongly Correlated Electrons · Physics 2016-10-04 M. M. Valizadeh

We show that the paradigmatic Ruderman-Kittel-Kasuya-Yosida (RKKY) description of two local magnetic moments coupled to propagating electrons breaks down in helical Luttinger Liquids when the electron interaction is stronger than some…

Strongly Correlated Electrons · Physics 2018-04-10 Oleg M. Yevtushenko , Vladimir I. Yudson

The two dimensionality plus the linear band structure of graphene leads to new behavior of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, which is the interaction between two magnetic moments mediated by the electrons of the host…

Mesoscale and Nanoscale Physics · Physics 2012-08-13 M. Sherafati , S. Satpathy

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 investigate the long-range behavior and size dependence of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in hexagonal and triangular graphene nanoflakes with zigzag and arm-chair edges. We employ the tight-binding model with exact…

Mesoscale and Nanoscale Physics · Physics 2023-12-12 Ahmet Utku Canbolat , Ozgur Cakir

This paper is an attempt to modify the classic Ruderman-Kittel-Kasuya-Yosida (RKKY) model to allow the analysis of the magnetic resonance measurements. In our calculations, we follow the treatment of the original authors of the RKKY model…

Materials Science · Physics 2011-11-07 A. Werpachowska , Z. Wilamowski

Noncentrosymmetric magnetic Weyl semimetals provide a platform for investigating the interplay among magnetism, inversion symmetry breaking, and topologically nontrivial Weyl fermions. The Weyl-mediated Ruderman-Kittel-Kasuya-Yosida (RKKY)…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 Mengyao Zhou , Hao-Ran Chang , Lijun Yang , Long Liang

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 study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two classical magnetic impurities in one-dimensional lattice models with flat bands. As two representative examples, we pick the stub lattice and the diamond lattice at…

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
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