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We present a theory for the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction mediated by a two-dimensional (2D) electron system subjected to periodic driving. This is demonstrated for a heterostructure consisting of two ferromagnets…

Mesoscale and Nanoscale Physics · Physics 2024-09-02 Mahmoud M. Asmar , Wang-Kong Tse

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 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

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 theoretically study the effect of impurity resonances on the indirect exchange interaction between magnetic impurities in the surface states of a three-dimensional topological insulator. The interaction is composed of an isotropic…

Mesoscale and Nanoscale Physics · Physics 2018-05-16 Mahroo Shiranzaei , Jonas Fransson , Hosein Cheraghchi , Fariborz Parhizgar

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 consider the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities on the surface of a three-dimensional topological insulator with proximity induced superconductivity. A superconductor placed on the top of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Alexander A. Zyuzin , Daniel Loss

Floquet topological insulators are topological phases of matter generated by the application of time-periodic perturbations on otherwise conventional insulators. We demonstrate that spatial variations in the time-periodic potential lead to…

Strongly Correlated Electrons · Physics 2013-04-02 Yaniv Tenenbaum Katan , Daniel Podolsky

Higher-order topological insulators have attracted significant interest in both static single-particle and many-body lattice systems. While periodically driven (Floquet) higher-order topological phases have been explored at the…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Chun-Ping Su , Zhao-Fan Cai , Tao Liu

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

Indirect exchange interaction between magnetic impurities in one dimensional systems is a matter of long discussions since Kittel has established that in the asymptotic limit it decays as the inverse of distance x between the impurities. In…

Mesoscale and Nanoscale Physics · Physics 2019-03-29 Joelson F. Silva , E. Vernek

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities, mediated by Dirac surface states on the surface of a topological insulator, leads to impurities ferromagnetic ordering. We present a self-consistent theory of…

Mesoscale and Nanoscale Physics · Physics 2014-03-28 D. K. Efimkin , V. Galitski

Dynamic manipulation of magnetism in topological materials is demonstrated here via a Floquet engineering approach using circularly polarized light. Increasing the strength of the laser field, besides the expected topological phase…

Mesoscale and Nanoscale Physics · Physics 2021-06-15 Xiaoyu Liu , Peizhe Tang , Hannes Hübener , Umberto De Giovannini , Wenhui Duan , Angel Rubio

We show that periodically time-modulating the Dzyaloshinskii-Moriya interaction (DMI) in a two-dimensional magnon insulator may induce a topological phase transition that results in the presence of robust edge modes. To this end, we study a…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Ivan Martinez-Berumen , T. Pereg-Barnea , W. A. Coish

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 periodic drive could alter the effective exchange interactions in magnetic materials. Here, we explore how exchange pathways affect the effective interactions of periodically driven magnetic materials. Aiming to apply Floquet engineering…

Strongly Correlated Electrons · Physics 2020-09-03 Swati Chaudhary , Alon Ron , David Hsieh , Gil Refael

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

This paper analyzes Floquet topological insulators resulting from the time-harmonic irradiation of electromagnetic waves on two dimensional materials such as graphene. We analyze the bulk and edge topologies of approximations to the…

Mathematical Physics · Physics 2021-01-19 Guillaume Bal , Daniel Massatt

We develop a theory of topological transitions in a Floquet topological insulator, using graphene irradiated by circularly polarized light as a concrete realization. We demonstrate that a hallmark signature of such transitions in a static…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 Arijit Kundu , H. A. Fertig , Babak Seradjeh

We study the Ruderman-Kittel-Kasuya-Yosida interaction between two magnetic impurities connected to the edges of zigzag-terminated MoS$_{2}$ flakes. When the impurities lie on the edges of the flake, the effective exchange interaction…

Mesoscale and Nanoscale Physics · Physics 2018-01-08 Oscar Ávalos-Ovando , Diego Mastrogiuseppe , Sergio E. Ulloa
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