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Effective Hamiltonian for surface states of topological insulator nanotubes. | LitMetric

Effective Hamiltonian for surface states of topological insulator nanotubes.

Sci Rep

Computational Nanoelectronics and Nanodevices Laboratory, National University of Singapore, Singapore, Singapore.

Published: April 2017

AI Article Synopsis

  • The study derives an effective Hamiltonian for hollow topological insulator (TI) nanotubes, revealing unique properties due to their finite width walls and curvature.
  • Unlike solid TI cylinders, these nanotubes have inner and outer surfaces whose states are coupled, creating distinct behaviors influenced by the nanotube's dimensions.
  • The research specifically focuses on BiSe nanotubes, calculating how varying inner and outer radii affect the spin-orbit interaction and the resulting eigenstates' characteristics.

Article Abstract

In this work we derive an effective Hamiltonian for the surface states of a hollow topological insulator (TI) nanotube with finite width walls. Unlike a solid TI cylinder, a TI nanotube possesses both an inner as well as outer surface on which the states localized at each surface are coupled together. The curvature along the circumference of the nanotube leads to a spatial variation of the spin orbit interaction field experienced by the charge carriers as well as an asymmetry between the inner and outer surfaces of the nanotube. Both of these features result in terms in the effective Hamiltonian for a TI nanotube absent in that of a flat TI thin film of the same thickness. We calculate the numerical values of the parameters for a BiSe nanotube as a function of the inner and outer radius, and show that the differing relative magnitudes between the parameters result in qualitatively differing behaviour for the eigenstates of tubes of different dimensions.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5377261PMC
http://dx.doi.org/10.1038/srep45350DOI Listing

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