Collective modes of a helical liquid

Details Collective modes of a helical liquid Collective modes of a helical liquid

2009-09-14

arxiv.org/abs/0909.2477v2

Phys. Rev. Lett. 104, 116401 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 Pages, 2 Figures

Scientific paper

10.1103/PhysRevLett.104.116401

We study low energy collective modes and transport properties of the "helical metal" on the surface of a topological insulator. At low energies, electrical transport and spin dynamics at the surface are exactly related by an operator identity equating the electric current to the in-plane components of the spin degrees of freedom. From this relation it follows that an undamped spin wave always accompanies the sound mode in the helical metal -- thus it is possible to `hear' the sound of spins. In the presence of long range Coulomb interactions, the surface plasmon mode is also coupled to the spin wave, giving rise to a hybridized "spin-plasmon" mode. We make quantitative predictions for the spin-plasmon in ${\rm Bi}_2{\rm Se}_3$, and discuss its detection in a spin-grating experiment.

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