Journal
PHYSICAL REVIEW B
Volume 81, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.81.115407
Keywords
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Funding
- Research Grant Council of Hong Kong [HKU 7037/08P, HKU 10/CRF/08]
- DoE
- NSF
- Welch foundation [F-1255]
- Texas Advanced Research Program
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [0906025] Funding Source: National Science Foundation
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We study transport and optical properties of the surface states, which lie in the bulk energy gap of a thin-film topological insulator. When the film thickness is comparable with the surface-state decay length into the bulk, the tunneling between the top and bottom surfaces opens an energy gap and form two degenerate massive Dirac hyperbolas. Spin-dependent physics emerges in the surface bands, which are vastly different from the bulk behavior. These include the surface spin Hall effects, spin-dependent orbital magnetic moment, and spin-dependent optical transition selection rule, which allows optical spin injection. We show a topological quantum phase transition where the Chern number of the surface bands changes when varying the thickness of the thin film.
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