I have been reading in many publications that metallic SWCNTs exposed to a parallel magnetic field provide a paramagnetic susceptibility owing to the Aharnov-Bohm effect. However, I can find little information on why this effect causes such a response, beyond this statement.

From what I can understand (my background is chemistry/engineering), a metallic SWCNT (larger enough not to induce metallisation owing to curvature effects) is a zero-point semi-metal, much like graphene where linear dispersion bands meet at the K-point in Brillion space. When magnetic flux penetrates the SWCNT along the central axis the electrons experience a phase change. I am really struggling to understand how this results in a paramagnetic response, especially when the Aharnov-Bohm effect causes a periodic band gap resulting in a reduction in metalicity.

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