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

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 potent...

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Veröffentlicht in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2019-04, Vol.92 (4), p.1-7, Article 88
Hauptverfasser: Shin, Jiseon, Jeon, Gun Sang
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Sprache:eng
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Zusammenfassung: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
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2019-90683-y