Effective Hamiltonian for surface states of topological insulator nanotubes.

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 Bi2Se3 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.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Siu ZB,Tan SG,Jalil MB

doi

10.1038/srep45350

subject

Has Abstract

pub_date

2017-04-03 00:00:00

pages

45350

issn

2045-2322

pii

srep45350

journal_volume

7

pub_type

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