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Wormhole Effect in a Strong Topological Insulator · Around

2010

Wormhole Effect in a Strong Topological Insulator

Rosenberg, G., Guo, H. -M., Franz, M.

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An infinitely thin solenoid carrying magnetic flux Phi (a `Dirac string') inserted into an ordinary band insulator has no significant effect on the spectrum of electrons.

In a strong topological insulator, remarkably, such a solenoid carries protected gapless one-dimensional fermionic modes when Phi=hc/2e.
These modes are spin-filtered and represent a distinct bulk manifestation of the topologically non-trivial insulator.
We establish this `wormhole' effect by both general qualitative considerations and by numerical calculations within a minimal lattice model.

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G. Rosenberg and M. Franz, arXiv:1001.3179

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