The surface states of topological insulators - Dirac fermion in curved two dimensional spaces

Details The surface states of topological insulators - Dirac fermion in curved two dimensional spaces The surface states of topological insulators - Dirac fermion in curved two dimensional spaces

2009-08-18

arxiv.org/abs/0908.2490v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

PRL accepted version, new information on thickness dependence added

Scientific paper

The surface of a topological insulator is a closed two dimensional manifold. The surface states are described by the Dirac Hamiltonian in curved two dimensional spaces. For a slab-like sample with a magnetic field perpendicular to its top and bottom surfaces, there are chiral states delocalized on the four side faces. These "chiral sheets" carry both charge and spin currents. In strong magnetic fields the quantized charge Hall effect ($\s_{xy}=(2n+1)e^2/h$) will coexist with spin Hall effect.

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