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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

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

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 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 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 study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two contact magnetic impurities placed on bilayer graphene (BLG). We compute the interaction mediated by the carriers of the pristine and biased BLG as well as the…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 F. Parhizgar , M. Sherafati , Reza Asgari , S. Satpathy

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

Using the Green's function method, we study the effect of an impurity potential on the electronic structure of the honeycomb lattice in the one-band tight-binding model that contains both the nearest neighbor ($t$) and the second neighbor…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 Mohammad Sherafati , Sashi Satpathy

In this Ph.D. thesis a model for graphene in presence of quantized electromagnetic interactions is introduced. The zero and low temperature properties of the model are studied using rigorous renormalization group methods and lattice Ward…

Strongly Correlated Electrons · Physics 2011-05-09 Marcello Porta

We investigate the effect of vacancy defects on the electronic and magnetic properties of zigzag graphene nanoribbons (zGNRs) by making use of the Green's function formalism in combination with the tight-binding Hamiltonian. The evolution…

Mesoscale and Nanoscale Physics · Physics 2020-12-25 Moslem Zare , Reza Asgari

In our publication from 8 years ago (Phys. Rev. B {\bf 84}, 115119 (2011)) we calculated RKKY interaction between two magnetic impurities adsorbed on graphene at zero temperature. We show in this short paper that the approach based on…

Mesoscale and Nanoscale Physics · Physics 2019-04-02 E. Kogan

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

We present the results of analytical evaluation of the indirect RKKY interaction in a layered metal with nearly nested (almost squared) Fermi surface. The final expressions are obtained in closed form as a combination of Bessel functions.…

Strongly Correlated Electrons · Physics 2016-08-31 D. N. Aristov , S. V. Maleyev

We study the RKKY interaction of magnetic impurities in the $\alpha-\mathcal{T}_3$ model which hosts pseudospin-1 fermions with two dispersive and one flat bands. By using the effective low-energy Hamiltonian we calculate the RKKY coupling…

Strongly Correlated Electrons · Physics 2020-07-01 D. O. Oriekhov , V. P. Gusynin

Dirac electrons in clean graphene can mediate the interactions between two localized magnetic moments. The functional form of the RKKY interaction in pristine graphene is specified by two main features: (i) an atomic scale oscillatory part…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Alireza Habibi , S. A. Jafari

Carrier-mediated Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction plays an important role in itinerant magnetism. There have been intense interest on its general trend on bipartite lattice with particle-hole symmetry. In particular,…

Mesoscale and Nanoscale Physics · Physics 2014-11-25 Tsung-Cheng Lu , Hsiu-Hau Lin

The indirect RKKY interaction in iron pnictide and chalcogenide metals is calculated for a simplified four bands Fermi surface (FS) model. We investigate the specific multi-band features and show that distinct length scales of the RKKY…

Superconductivity · Physics 2013-03-26 Alireza Akbari , Peter Thalmeier , Ilya Eremin

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

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 study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in p-doped transition metal dichalcogenides such as MoS$_2$ and WS$_2$. We consider magnetic impurities hybridized to the Mo d-orbitals characteristic of the valence bands. Using…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 D. Mastrogiuseppe , N. Sandler , S. Ulloa