Wormhole Effect in a Strong Topological Insulator

Details Wormhole Effect in a Strong Topological Insulator Wormhole Effect in a Strong Topological Insulator

2010-02-16

arxiv.org/abs/1002.3155v1

Phys. Rev. B82: 041104,2010

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures. For related work and info visit http://www.physics.ubc.ca/~franz

Scientific paper

10.1103/PhysRevB.82.041104

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. We also discuss the possibility of experimental observation of a closely related effect in artificially engineered nanostructures.

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