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Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems

Ganesh C. Paul, SK Firoz Islam, Paramita Dutta, and Arijit Saha
Phys. Rev. B 103, 115306 – Published 12 March 2021
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  • INTRODUCTION
  • MODEL AND ICM IN 2D GRAPHENE
  • ICM IN 3D WEYL SEMIMETAL
  • STABILITY OF ICM
  • SIGNATURES OF ICM IN RKKY EXCHANGE…
  • SUMMARY AND CONCLUSIONS
  • ACKNOWLEDGMENTS
    • References

    Abstract

    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 with oppositely signed inversion symmetry broken terms in graphene and Weyl semimetal. The DW is modeled by a smooth quantum well which hosts a number of discrete bound states including a pair of gapless, metallic modes with opposite chiralities. We find clear signatures of these interfacial chiral bound states in spin response (RKKY exchange interaction) which is robust to the deformation of the quantum well.

    • Figure
    • Figure
    • Figure
    • Received 3 November 2020
    • Accepted 25 February 2021

    DOI:https://doi.org/10.1103/PhysRevB.103.115306

    ©2021 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    DomainsMagnetic couplingRKKY interactionSurface & interfacial phenomenaSurface states
    1. Physical Systems
    GrapheneWeyl semimetal
    1. Techniques
    Green's function methods
    Condensed Matter, Materials & Applied Physics

    Authors & Affiliations

    Ganesh C. Paul1,2,*, SK Firoz Islam3,†, Paramita Dutta4,‡, and Arijit Saha1,2,§

    • 1Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India
    • 2Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400085, India
    • 3Department of Applied Physics, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland
    • 4Department of Physics and Astronomy, Uppsala University, Box 516, S-751 20 Uppsala, Sweden

    • *ganeshpaul@iopb.res.in
    • †firoz.seikh@aalto.fi
    • ‡paramita.dutta@physics.uu.se
    • §arijit@iopb.res.in

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    Issue

    Vol. 103, Iss. 11 — 15 March 2021

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    Images

    • Figure 1
      Figure 1

      (a) A schematic sketch of graphene, placed on the top of a hBN substrate, is depicted. The two magnetic impurities are placed on the DW which is denoted by the black solid line. (b) The smooth variation of the mass term, modeled by γ(x)=γtanh(x/L), is shown. (c) QW of width L and height U0, defined by the hyperbolic function, developed across the DW is symbolically illustrated.

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    • Figure 2
      Figure 2

      Jex is depicted as a function of μ for (a) graphene and (b) WSM with x=0 and y=10L. Here, μ and Jex are normalized by γ and γL2 (graphene) or βL2 (WSM), respectively.

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    • Figure 3
      Figure 3

      Jex is demonstrated, in the case of WSM, as a function of (a) x/L and (b) y/L for various values of βL at μ=0. The normalization of Jex is the same as in Fig. 2.

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