Ken-Ichiro Imura, Yositake Takane
The metallic surface state of a topological insulator (TI) is not only topologically protected, but exhibits an active property on curved surfaces. For an electron in the surface state of a spherical or a cylindrical TI (TI nanoparticle or nanowire) a pseudo-magnetic monopole or a fictitious solenoid is effectively induced, encoding the geometry of the system. This active property associated with spin-to-surface locking is mathematically formulated as spin connection, generating typically a Berry phase pi. Here, we point out and demonstrate that the noninvasiveness of the surface state stems indeed from this Berry phase pi, the active nature of the surface state.
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http://arxiv.org/abs/1211.2088
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