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Substrate effect on edge states of a quantum spin Hall insulator in Kane–Mele model

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  • Jiseon Shin

    (Ewha Womans University)

  • Gun Sang Jeon

    (Ewha Womans University)

Abstract

We investigate the topological phases and the edge states of a quantum spin Hall insulator of the Kane–Mele model placed on top of a two-dimensional normal insulator caused by the staggered lattice potential. We show that, in the parameter space of interlayer hopping and the staggered lattice potential, there occurs a topological phase transition between the two phases, topological and normal insulating phases. Effective Hamiltonian for the edge states is constructed and it is verified that it reproduces well the edge-state energy dispersion in the presence of small interlayer hopping. Finally, we estimate the edge-state width by fitting the probability densities numerically and discuss how the edge-state width changes near the phase boundary and in an asymptotic region. Graphical abstract

Suggested Citation

  • Jiseon Shin & Gun Sang Jeon, 2019. "Substrate effect on edge states of a quantum spin Hall insulator in Kane–Mele model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(4), pages 1-7, April.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:4:d:10.1140_epjb_e2019-90683-y
    DOI: 10.1140/epjb/e2019-90683-y
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    Solid State and Materials;

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