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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

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

We study the RKKY interaction mediated by the helical edge states of a quantum spin Hall insulator in the presence of the Rashba spin-orbital coupling induced by an external electric field and the electron-electron interaction. We show that…

Mesoscale and Nanoscale Physics · Physics 2015-02-05 Yu-Wen Lee , Yu-Li Lee

We theoretically explore the RKKY interaction mediated by spin-3/2 quasiparticles in half-Heusler topological semimetals in quasi-two-dimensional geometries. We find that while the Kohn-Luttinger terms gives rise to generalized Heisenberg…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Reza G. Mohammadi , Ali G. Moghaddam

We theoretically study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities in both Dirac and Weyl semimetals (SMs). We find that the internode process, as well as the unique three-dimensional spin-momentum…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Hao-Ran Chang , Jianhui Zhou , Shi-Xiong Wang , Wen-Yu Shan , Di Xiao

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

We consider Mn-doped bulk zinc-blende semiconductors described by the 4 $ \times$ 4 Luttinger Hamiltonian. In these semiconductors, Mn atom acts as an acceptor providing the system a mobile hole, and also acts like a magnetic impurity of…

Mesoscale and Nanoscale Physics · Physics 2019-06-24 Sonu Verma , Arijit Kundu , Tarun Kanti Ghosh

We investigate theoretically indirect exchange interaction between magnetic impurities mediated by one-dimensional gapped helical states. Such states, containing massive Dirac fermions, may be realized on the edge of a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-01-28 Zahra Karimi , Mir Vahid Hosseini , Jamal Davoodi

We analyze the Ruderman-Kettel-Kasuya-Yosida(RKKY) interaction between magnetic impurities embedded in the helical metal on the surface of three-dimensional topological insulators. Apart from the conventional RKKY terms, the spin-momentum…

Materials Science · Physics 2015-05-18 Fei Ye , Guo-Hui Ding , Hui Zhai , Zhao-Bin Su

We have investigated magnetic interactions between transition metal ions in bismuthene topological insulator with protected edge states. We find that these topological states have a crucial role on the magnetic interactions in 2D…

Materials Science · Physics 2023-03-23 Emmanuel V. C. Lopes , E. Vernek , Tome M. Schmidt

The nontrivial spin texture on the (001) surface of topological crystalline insulator SnTe hosts exotic scientific importance and spintronic applications. Here, we study the effects of weak Floquet optical driving on the…

Strongly Correlated Electrons · Physics 2023-03-07 Mohsen Yarmohammadi , Marin Bukov , Michael H. Kolodrubetz

We propose a new correlated topological state which we call a higher-order topological Mott insulator (HOTMI). This state exhibits a striking bulk-boundary correspondence due to electron correlations. Namely, the topological properties in…

Strongly Correlated Electrons · Physics 2019-11-13 Koji Kudo , Tsuneya Yoshida , Yasuhiro Hatsugai

Higher order topological insulators (HOTIs) are a novel form of insulating quantum matter, which are characterized by having gapped boundaries that are separated by gapless corner or hinge states. Recently, it has been proposed that the…

Strongly Correlated Electrons · Physics 2021-08-25 Julian May-Mann , Taylor L. Hughes

The indirect exchange interaction between magnetic impurities located in the bulk of a two-dimensional topological insulator decays exponentially with the distance. The indirect exchange interaction for magnetic impurities mediated by the…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 V. D. Kurilovich , P. D. Kurilovich , I. S. Burmistrov

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

We theoretically study the impacts of linear spin-orbit coupling (SOC) on the Ruderman-Kittel-Kasuya-Yosida interaction between magnetic impurities in two kinds of three-dimensional noncentrosymmetric systems. It has been found that linear…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Shi-Xiong Wang , Hao-Ran Chang , Jianhui Zhou

Recently, the Floquet ${\rm Na_3Bi}$-type material has been proposed as an ideal platform for realizing various phases, i.e., the spin-degenerate Dirac semimetal (DSM) can be turned into the Weyl semimetal (WSM), and even to the Weyl…

Mesoscale and Nanoscale Physics · Physics 2024-01-08 Hou-Jian Duan , Shi-Ming Cai , Xing Wei , Yong-Chi Chen , Yong-Jia Wu , Ming-Xun Deng , Ruiqiang Wang , Mou Yang

We derive compact analytical expressions for the coupled spin-charge susceptibility of a clean helical metal at the surface of a three dimensional topological insulator (TI). These expressions lead to unconventional non-collinear RKKY…

Strongly Correlated Electrons · Physics 2015-05-18 Ion Garate , M. Franz

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

Light drives offer a potential tool for the dynamical control of magnetic interactions in matter. We theoretically investigate the indirect exchange coupling between two parallel chains of magnetic impurities on the surface of a topological…

Mesoscale and Nanoscale Physics · Physics 2024-07-22 Modi Ke , Mahmoud M. Asmar , Wang-Kong Tse
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