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Pis'ma v Zh. Èksper. Teoret. Fiz., 2015, Volume 101, Issue 2, Pages 94–100 (Mi jetpl4527)  

This article is cited in 26 scientific papers (total in 26 papers)

CONDENSED MATTER

Boundary conditions and surface state spectra in topological insulators

V. V. Enaldieva, I. V. Zagorodneva, V. A. Volkovba

a Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: We study surface states spectra in 2D topological insulators (TIs) based on HgTe/(Hg,Cd)Te quantum wells and 3D Bi$_2$Se$_3$-type compounds by constructing a class of feasible time-reversal invariant boundary conditions (BCs) for an effective ${\mathbf k}{\mathbf p}$-Hamiltonian and a tight-binding model of the topological insulators. The BCs contain some phenomenological parameters which implicitly depend on both bulk Hamiltonian parameters and crystal potential behavior near the crystal surface. Space symmetry reduces the number of the boundary parameters to four real parameters in the 2D case and three in the 3D case. We found that the boundary parameters may strongly affect not only an energy spectrum but even the very existence of these states inside the bulk gap near the Brillouin zone center. Nevertheless, we reveal in frames of the tight-binding model that when surface states do not exist in the bulk gap in the Brillouin zone center they cross the gap in other points of the Brillouin zone in agreement with the bulk-boundary correspondence.

DOI: https://doi.org/10.7868/S0370274X15020058

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English version:
Journal of Experimental and Theoretical Physics Letters, 2015, 101:2, 89–96

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Received: 21.11.2014
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Citation: V. V. Enaldiev, I. V. Zagorodnev, V. A. Volkov, “Boundary conditions and surface state spectra in topological insulators”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:2 (2015), 94–100; JETP Letters, 101:2 (2015), 89–96

Citation in format AMSBIB
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\by V.~V.~Enaldiev, I.~V.~Zagorodnev, V.~A.~Volkov
\paper Boundary conditions and surface state spectra in topological
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\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2015
\vol 101
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\pages 94--100
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\crossref{https://doi.org/10.7868/S0370274X15020058}
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\jour JETP Letters
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\vol 101
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