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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 the carrier-mediated exchange interaction, the so-called RKKY coupling, between two magnetic moments in graphene using exact diagonalization on the honeycomb lattice. By using the tight-binding nearest neighbor band structure of…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Annica M. Black-Schaffer

The growing interest in carbon-based spintronics has stimulated a number of recent theoretical studies on the RKKY interaction in graphene, based on which the energetically favourable alignment between magnetic moments embedded in this…

Mesoscale and Nanoscale Physics · Physics 2012-05-09 S. R. Power , F. S. M. Guimaraes , A. T. Costa , R. B. Muniz , M. S. Ferreira

We first present a simple proof that for any bipartite lattice at half filling the RKKY interaction is antiferromagnetic between impurities on opposite (i.e., A and B) sublattices and is ferromagnetic between impurities on the same…

Strongly Correlated Electrons · Physics 2007-11-26 Saeed Saremi

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

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

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 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 show that the carrier-mediated exchange interaction, the so-called RKKY coupling, between two magnetic impurity moments in graphene is significantly modified in the presence of electron-electron interactions. Using the mean-field…

Strongly Correlated Electrons · Physics 2013-05-29 Annica M. Black-Schaffer

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 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 show explicitly that two approaches to calculations of RKKY interaction between two magnetic impurities in graphene based on Green's functions: one using coordinate--imaginary time representation, and the other using momentum--frequency…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 E. Kogan

We consider RKKY interaction between two magnetic impurities in graphene. The consideration is based on the perturbation theory for the thermodynamic potential in the imaginary time representation. We analyze the symmetry of the RKKY…

Mesoscale and Nanoscale Physics · Physics 2017-12-29 E. Kogan

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

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 indirect exchange interaction is one of the key factors in determining the overall alignment of magnetic impurities embedded in metallic host materials. In this work we examine the range of this interaction in magnetically-doped…

Mesoscale and Nanoscale Physics · Physics 2013-08-30 J. M. Duffy , P. D. Gorman , S. R. Power , M. S. Ferreira

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…

In our previous work (E. Kogan, Phys. Rev. B 84, 115119 (2011)) we presented calculation of RKKY interaction between two magnetic impurities in graphene based on Matsubara Green's functions (MGF) in the coordinate -- imaginary time…

Mesoscale and Nanoscale Physics · Physics 2012-11-20 E. Kogan

In our previous work (E. Kogan, Phys. Rev. B {\bf 84}, 115119 (2011)) we calculated RKKY interaction between two magnetic impurities in pristine graphene using the Green's functions (GF) in the coordinate -- imaginary time representation.…

Mesoscale and Nanoscale Physics · Physics 2013-01-29 E. Kogan

The interaction energy for the indirect-exchange or Ruderman-Kittel-Kasuva-Yosida (RKKY) interaction between magnetic spins localized on lattice sites of the $\alpha$-${\cal T}_3$ model is calculated using linear response theory. In this…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Oleksiy Roslyak , Godfrey Gumbs , Antonios Balassis , Heba Elsayed
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