Phys. Rev. Lett. 103, 196804 (2009) [4 pages]Surface States of Topological Insulators: The Dirac Fermion in Curved Two-Dimensional SpacesReceived 29 August 2009; published 5 November 2009 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 slablike 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 [σxy=(2n+1)e2/h] will coexist with spin Hall effect. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.196804
DOI:
10.1103/PhysRevLett.103.196804
PACS:
73.43.−f, 72.25.Hg, 73.20.−r, 85.75.−d
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