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

Jiseon Shin and Gun Sang Jeon ()
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Jiseon Shin: Ewha Womans University
Gun Sang Jeon: Ewha Womans University

The European Physical Journal B: Condensed Matter and Complex Systems, 2019, vol. 92, issue 4, 1-7

Abstract: 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

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1140/epjb/e2019-90683-y

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