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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…

We study the RKKY interaction between two magnetic impurities located on the surface of a three-dimensional Dirac semimetal with two Dirac nodes in the band structure. By taking into account both bulk and surface contributions to the…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 V. Kaladzhyan , A. A. Zyuzin , P. Simon

We report measurements of the cyclotron mass in graphene for carrier concentrations n varying over three orders of magnitude. In contrast to the single-particle picture, the real spectrum of graphene is profoundly nonlinear so that the…

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

We theoretically investigate the effect of the non-magnetic and magnetic impurities to the 2D parabolic Dirac system. The induced charge density by the charged impuri- ty is obtained by the linear response theory within the random phase…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Chen-Huan Wu

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

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

Recently, it was predicted that an RKKY-type interaction between adatoms in graphene can drive an ordering transition to a state with broken sublattice symmetry (arXiv:1004.3678). In this state, due to Bragg scattering of electron waves on…

Mesoscale and Nanoscale Physics · Physics 2010-08-10 Dmitry Abanin , Leonid Levitov

In this work the Casimir{Polder interaction energy between a rubidium atom and a disordered graphene sheet is investigated beyond the Dirac cone approximation by means of accurate real-space calculations. As a model of defected graphene, we…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 T. P. Cysne , T. G. Rappoport , Aires Ferreira , J. V. Lopes , N. M. R. Peres

We investigate the problem of dynamical gap generation in suspended graphene by long-range Coulomb interactions at strong coupling with Dyson-Schwinger equations. Including renormalization effects on the Fermi velocity we obtain a critical…

Strongly Correlated Electrons · Physics 2013-02-12 C. Popovici , C. S. Fischer , L. von Smekal

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

The interplay between the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction and the Kondo effect is expected to provide the driving force for the emergence of many phenomena in strongly correlated electron materials. Two magnetic impurities…

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

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 study the Ruderman-Kittle-Kasuya-Yosida (RKKY) interaction in a monolayer MoS$_2$. We show that the rotation of the itinerant electron spin due to the spin-orbit coupling causes a twisted interaction between two magnetic adatoms which…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 F. Parhizgar , H. Rostami , Reza Asgari

We present a theoretical study of indirect exchange interaction between magnetic adatoms in graphene. The coupling between the adatoms to a graphene sheet is described in the framework of tunneling Hamiltonian. We account for the…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Igor Krainov , Igor Rozhansky , Nikita Averkiev , Erkki Lahderanta

We study the Floquet phase diagram of two-dimensional Dirac materials such as graphene and the one-dimensional (1D) spin-1/2 $XY$ model in a transverse field in the presence of periodic time-varying terms in their Hamiltonians in the low…

Mesoscale and Nanoscale Physics · Physics 2018-05-16 Bhaskar Mukherjee , Priyanka Mohan , Diptiman Sen , K. Sengupta

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

The interaction between two impurity spins provides vital information about the host system and has been suggested to form a building block in quantum computation and spintronic devices. We here determine this Ruderman-Kittel-Kasuya-Yosida…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Morten Amundsen , Arne Brataas , Jacob Linder

We study the stabilization of an isolated magnetic skyrmion in a magnetic monolayer on a nonmagnetic conducting substrate via the Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interaction. Two different types of the substrate are…

Strongly Correlated Electrons · Physics 2018-02-14 Alla V. Bezvershenko , Alexei K. Kolezhuk , Boris A. Ivanov