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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 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 calculate the indirect charge carrier mediated Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities for two selected graphene nanoflakes containing four hexagonal rings in their structure, differing by their…

Mesoscale and Nanoscale Physics · Physics 2011-11-15 Karol Szałowski

Using Hubbard-Stratonovich transformation and drone-fermion representations for spin-1/2 and for spin-3/2, which is presented for the first time, we make a path-integral formulation of the Kondo lattice model. In the case of weak coupling…

Strongly Correlated Electrons · Physics 2016-08-31 Sze-Shiang Feng , Mogus Mochena

In this paper, we revisit the effect of flat bands on the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction by using a coordinate transformation that detangles flat-band states from dispersive ones. Under this transformation, original…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Yue-De Luo , Min-Fong Yang

Motivated by the recent upsurge in research of three-dimensional topological semimetals (SMs), we theoretically study the RKKY interaction between magnetic impurities in node-line SMs with and without the chirality and obtain the analytical…

Strongly Correlated Electrons · Physics 2022-03-22 Zhong-Yi Wang , Da-Yong Liu , Liang-Jian Zou

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 address the problem of free fermions interacting with frozen gauge fields. In particular, we consider a tight-binding model of fermions on the square lattice in which (i) flux 0 or $\pi$ is threaded through each plaquette and (ii) each…

Strongly Correlated Electrons · Physics 2019-05-23 Huu T. Do , Khagendra Adhikari , K. S. D. Beach

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 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 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 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

Using the multiband model we analyze the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between the magnetic impurities in layered ferropnictide superconductors. In the normal state the interaction is spin isotropic and is dominated by…

Strongly Correlated Electrons · Physics 2011-10-14 Alireza Akbari , Ilya Eremin , Peter Thalmeier

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

We derive a generalization of the RKKY interaction to semiconductors using perturbation theory on a non-degenerated two-impurity Anderson model. In metals the interaction is mediated by excitations of free carriers over the Fermi-energy. In…

Strongly Correlated Electrons · Physics 2016-08-31 S. Schwieger , W. Nolting

We investigate the effective couplings induced between localized impurities on the surface of a Weyl semimetal (WSM) nanowire within the framework of Ruderman--Kittel--Kasuya--Yosida (RKKY) theory. The itinerant electrons from the chiral…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 Rohit Mukherjee , Asutosh Dubey

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 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

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 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
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