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Helical Luttinger Liquid in Topological Insulator Nanowires

Helical Luttinger Liquid in Topological Insulator Nanowires

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 …