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: [Figure not available: see fulltext.].
Original language | English |
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Article number | 88 |
Journal | European Physical Journal B |
Volume | 92 |
Issue number | 4 |
DOIs | |
State | Published - 1 Apr 2019 |
Bibliographical note
Funding Information:This work was supported by the National Research Foundation of Korea through Grant No. NRF-2018R1D1A1B07048749.
Publisher Copyright:
© 2019, EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- Solid State and Materials