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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

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two magnetic $s$-$d$ spin impurities across a tunneling junction is studied when the system is driven out of equilibrium through biasing the junction. The nonequilibrium situation…

Condensed Matter · Physics 2009-10-28 N. F. Schwabe , Ned S. Wingreen , R. J. Elliott

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

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

Carrier-mediated exchange coupling, known as Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, plays a fundamental role in itinerant ferromagnetism and has great application potentials in spintronics. A recent theorem based on the…

Strongly Correlated Electrons · Physics 2015-05-13 J. E. Bunder , Hsiu-Hau Lin

Magnetically-doped graphene systems are potential candidates for application in future spintronic devices. A key step is to understand the pairwise interactions between magnetic impurities embedded in graphene that are mediated by the…

Mesoscale and Nanoscale Physics · Physics 2013-02-04 Stephen R. Power , Mauro S. Ferreira

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 demonstrate that the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in graphene can be strongly modified by a time-periodic driving field even in the weak drive regime. This effect is due to the opening of a dynamical band gap at the…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Modi Ke , Mahmoud M. Asmar , Wang-Kong Tse

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

The growing interest in carbon-based spintronics has stimulated a number of recent theoretical studies on the RKKY interaction in graphene, with the aim of determining the most energetically favourable alignments between embedded magnetic…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 P. D. Gorman , J. M. Duffy , M. S. Ferreira , S. R. Power

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 study the non-interacting two-impurity Anderson model on a lattice using the Green function equation-of-motion method. A case of particular interest is the RKKY limit that is characterized by a small hybridization between impurities and…

Strongly Correlated Electrons · Physics 2017-10-11 Zakaria M. M. Mahmoud , Jörg Bünemann , Florian Gebhard

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 study the RKKY interaction between two magnetic impurities located on same layer (intralayer case) or on different layers (interlayer case) in undoped bilayer graphene in the four-bands model, by directly calculating the Green functions…

Strongly Correlated Electrons · Physics 2015-09-10 Yawar Mohammadi , Rostam Moradian

We obtain an analytical expression for the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction $J$ in electron or hole doped graphene for linear Dirac bands. The results agree very well with the numerical calculations for the full…

Mesoscale and Nanoscale Physics · Physics 2011-09-13 M. Sherafati , S. Satpathy

A discussion on the interaction between skyrmions in a bi-layer system connected by a non-magnetic metal is presented. From considering a free charge carrier model, we have shown that the Ruderman-Kittel-Kasuya-Yosida (RKKY ) inter- action…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 R. Cacilhas , S. Vojkovic , V. L. Carvalho-Santos , E. B. Carvalho , A. R. Pereira , D. Altbir , Á. S. Núñez

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 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 present the effective low-energy theory for interacting 1D quantum wires subject to Rashba spin-orbit coupling. Under a one-loop renormalization group scheme including all allowed interaction processes for not too weak Rashba coupling,…

Mesoscale and Nanoscale Physics · Physics 2009-06-03 Andreas Schulz , Alessandro De Martino , Philip Ingenhoven , Reinhold Egger

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