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Magnetic impurities in real materials can mask the intrinsic spin-dependent properties of hosts. They interact indirectly through the Ruderman-Kittel-Kasuya-Yosida (RKKY) mechanism, which limits the use of isolated impurity spins in…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Mohsen Yarmohammadi , Pei-Hao Fu , James K. Freericks

We present a comprehensive theoretical analysis of magnetic heterostructures composed of ferromagnetic (FM) layers interfaced with three-dimensional topological insulators (TIs). Integrating out the topological surface states and computing…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Christian Svingen Johnsen , Asle Sudbø

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 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 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

We study the Ruderman-Kittle-Kasuya-Yosida (RKKY) interaction in the presence of spin polarized two dimensional Dirac fermions. We show that a spin polarization along the z-axis mediates an anisotropic interaction which corresponds to a XXZ…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 F. Parhizgar , Reza Asgari , S. H. Abedinpour , M. Zareyan

MN4-embedded graphene (MN4-G) layers, incorporating transition metal elements (M), represent a class of experimentally accessible two-dimensional materials with significant potential for stable nanoscale magnetization. In these systems,…

Materials Science · Physics 2025-03-04 Mahnaz Rezaei , Jahanfar Abouie , Fariba Nazari

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction has been extensively explored in isotropic Dirac systems with linear dispersion, which typically follows an exponent decaying rate with the impurity distance $R$, i.e., $J\propto 1/R^d$…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Hou-Jian Duan , Yan-Yan Yang , Shi-Han Zheng , Chang-Yong Zhu , Ming-Xun Deng , Ruiqiang Wang , Mou Yang

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two magnetic $s$-$d$ spin impurities across a tunneling junction is studied when the system is driven out of equilibrium through biasing the junction. The nonequilibrium situation…

Condensed Matter · Physics 2009-10-28 N. F. Schwabe , Ned S. Wingreen , R. J. Elliott

Indirect exchange coupling in magnetic multilayers, also known as the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, is known to be highly effective in controlling the interlayer alignment of the magnetization. This coupling is typically…

It is generally believed that superconductivity only weakly affects the indirect exchange between magnetic impurities. If the distance r between impurities is smaller than than the superconducting coherence length (r < \xi), this exchange…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Norman Y. Yao , Leonid I. Glazman , Eugene A. Demler , Mikhail D. Lukin , Jay D. Sau

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

We study theoretically the RKKY interaction between magnetic impurities on the surface of three-dimensional topological insulators, mediated by the helical Dirac electrons. Exact analytical expression shows that the RKKY interaction…

Materials Science · Physics 2012-06-18 Jia-Ji Zhu , Dao-Xin Yao , Shou-Cheng Zhang , Kai Chang

The competition between the Kondo screening and indirect magnetic exchange in systems with two magnetic impurities coupled to a conventional s-wave superconductor gives rise to a nontrivial ground-state phase diagram. Here, we utilize the…

Strongly Correlated Electrons · Physics 2024-08-13 Cassian Plorin , Michael Potthoff

We study the interaction between two magnetic adatom impurities in graphene using the Anderson model. The two-impurity Anderson Hamiltonian is solved numerically by using the quantum Monte Carlo technique. We find that the inter-impurity…

Mesoscale and Nanoscale Physics · Physics 2015-03-11 A. D. Guclu , Nejat Bulut

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 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

Materials with a large magnetocaloric response are highly desirable for magnetic cooling applications. It is suggested that a strong spin-lattice coupling tends to generate a large magnetocaloric effect, but no microscopic mechanism has…

Materials Science · Physics 2024-03-06 Lokanath Patra , Bolin Liao

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 theoretically investigate the features of Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interaction between two magnetic impurities, mediated by the interfacial bound states inside a domain wall (DW). The latter separates the two regions…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Ganesh C. Paul , SK Firoz Islam , Paramita Dutta , Arijit Saha