Helical Luttinger liquid in topological insulator nanowires |
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Authors: | Egger R Zazunov A Yeyati A Levy |
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Institution: | Institut für Theoretische Physik, Heinrich-Heine-Universit?t, D-40225 Düsseldorf, Germany. |
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Abstract: | 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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