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

Jiseon Shin; Gun Sang Jeon

doi:10.1140/epjb/e2019-90683-y

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

Jiseon Shin, Gun Sang Jeon

Department of Physics

Research output: Contribution to journal › Article › peer-review

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
Article number	88
Journal	European Physical Journal B
Volume	92
Issue number	4
DOIs	https://doi.org/10.1140/epjb/e2019-90683-y
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

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10.1140/epjb/e2019-90683-y

Cite this

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

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.].",

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AU - Shin, Jiseon

AU - Jeon, Gun Sang

N1 - 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.

PY - 2019/4/1

Y1 - 2019/4/1

N2 - 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.].

AB - 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.].

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

Abstract

Bibliographical note

Keywords

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