Band inversion at critical magnetic fields in a silicene quantum dot

Abstract

We have found out that the band inversion in a silicene quantum dot (QD), in perpendicular magnetic $B$ and electric ${\Delta }_z$ fields, drastically depends on the strength of the magnetic field. We study the energy spectrum of the silicene QD where the electric field provides a tunable band gap $\Delta$. Boundary conditions introduce chirality, so that negative and positive angular momentum $m$ zero Landau level (ZLL) edge states show a quite different behavior regarding the band-inversion mechanism underlying the topological insulator transition. We show that, whereas some ZLLs suffer band inversion at $\Delta =0$ for any $B>0$, other ZLLs only suffer band inversion above critical values of the magnetic field at nonzero values of the gap.

arXiv comment4 pages, 5 figures

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Cited by in corpus (7)

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• Electrostatic quantum dots in silicene
• Spin and valley manipulation in single and double electrostatic silicene quantum dots
• Electrical control of a confined electron spin in a silicene quantum dot
• Hilbert space structure of the low energy sector of U(N) quantum Hall ferromagnets and their classical limit
• Faraday rotation and transmittance as markers of topological phase transitions in 2D materials
• Quantum revivals in HgTe/CdTe quantum wells and topological phase transitions