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This article is cited in 38 scientific papers (total in 38 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.
Received: 21.11.2014
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
Linking options:
https://www.mathnet.ru/eng/jetpl4527 https://www.mathnet.ru/eng/jetpl/v101/i2/p94
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