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We study the competition between the RKKY quadratic and biquadratic spin-spin interactions of two magnetic impurities in twisted bilayer graphene away from the magic angle. We apply the Bistritzer-MacDonald model of two graphene layers…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 D. O. Oriekhov , T. T. Osterholt , R. A. Duine , V. P. Gusynin

We show how a spin interaction between electrons localized in neighboring quantum dots can be induced and controlled optically. The coupling is generated via virtual excitation of delocalized excitons and provides an efficient coherent…

Condensed Matter · Physics 2009-11-07 C. Piermarocchi , Pochung Chen , L. J. Sham , D. G. Steel

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 use first-principles Quantum Monte-Carlo simulations to study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between hydrogen adatoms attached to a graphene sheet. We find that the pairwise RKKY interactions at distances of a few…

Strongly Correlated Electrons · Physics 2017-10-11 Pavel Buividovich , Dominik Smith , Maksim Ulybyshev , Lorenz von Smekal

We consider spin effects related to the random spin-orbit interaction in graphene. Such a random interaction can result from the presence of ripples and/or other inhomogeneities at the graphene surface. We show that the random spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 V. K. Dugaev , E. Ya. Sherman , J. Barnas

A dilute distribution of magnetic impurities is assumed to be present in doped graphene. We calculate the interaction energy between two magnetic impurities which are coupled via the indirect-exchange or Ruderman-Kittel-Kasuva-Yosida (RKKY)…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Oleksiy Roslyak , Godfrey Gumbs , Danhong Huang

We investigate the interactions between two identical magnetic impurities substituted into a graphene superlattice. Using a first-principles approach, we calculate the electronic and magnetic properties for transition-metal substituted…

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

We study Rudermann-Kittel-Kasuya-Yosida (RKKY) interaction in carbon nanotubes (CNTs) and graphene nanoribbons in the presence of spin orbit interactions and magnetic fields. For this we evaluate the static spin susceptibility tensor in…

Mesoscale and Nanoscale Physics · Physics 2013-02-04 Jelena Klinovaja , Daniel Loss

We study RKKY interactions for magnetic impurities on graphene in situations where the electronic spectrum is in the form of Landau levels. Two such situations are considered: non-uniformly strained graphene, and graphene in a real magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Jinlyu Cao , H. A. Fertig , Shixiong Zhang

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 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

Exchange interactions with itinerant electrons are known to act as a relaxation mechanism for individual local spins. The same exchange interactions are also known to induce the so called RKKY indirect exchange interaction between two…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 F. Delgado , J. Fernández-Rossier

The indirect exchange interaction between magnetic impurities localized in a graphene plane is considered theoretically, with the influence of intrinsic spin-orbit interaction taken into account. Such an interaction gives rise to an energy…

Materials Science · Physics 2015-06-25 V. K. Dugaev , V. I. Litvinov , J. Barnas

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 investigate the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two spins located at two quantum dots embedded in an Aharonov-Bohm (AB) ring. In such a system the RKKY interaction, which oscillates as a function of the distance…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yasuhiro Utsumi , Jan Martinek , Patrick Bruno , Hiroshi Imamura

We propose an RKKY-type interaction that is mediated by a spin liquid. If a spin liquid ground state exists such an interaction could leave a fingerprint by ordering underlying localized moments such as nuclear spins. This interaction has a…

Mesoscale and Nanoscale Physics · Physics 2019-12-05 H. F. Legg , Bernd Braunecker

We consider a dilute fluorinated graphene nanoribbon as a spin-active element. The fluorine adatoms introduce a local spin-orbit Rashba interaction that induces spin-precession for electron passing by. In the absence of the external…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Bartlomiej Rzeszotarski , Alina Mrenca-Kolasinska , Bartlomiej Szafran

The RKKY interaction between two impurities on a curved surface is investigated. Practical curved sample parameters are considered for investigating curvatures, similar to those observed experimentally in available samples such as graphene.…

Mesoscale and Nanoscale Physics · Physics 2023-01-16 Behzad Shokri , Ali Eghbali , Arash Phirouznia

The indirect, charge-carrier mediated coupling between localized magnetic moments is studied for graphene nanoflakes of triangular shape and zig-zag edge. The characteristic feature of such nanoflakes is the presence of a shell of…

Mesoscale and Nanoscale Physics · Physics 2013-04-25 Karol Szałowski