Helical Luttinger liquid in topological insulator nanowires

Details Helical Luttinger liquid in topological insulator nanowires Helical Luttinger liquid in topological insulator nanowires

2010-06-23

arxiv.org/abs/1006.4496v1

Phys. Rev. Lett. 105, 136403 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 3 figures

Scientific paper

We derive and analyze the effective low-energy theory for interacting electrons in a cylindrical nanowire made of a strong topological insulator. Three different approaches provide a consistent picture for the band structure, where surface states forming inside the bulk gap correspond to one-dimensional bands indexed by total angular momentum. When a half-integer magnetic flux pierces the nanowire, we find a strongly correlated helical Luttinger liquid topologically protected against weak disorder. We describe how transport experiments can detect this state.

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