Surface-edge state and half quantized Hall conductance in topological insulators

Details Surface-edge state and half quantized Hall conductance in topological insulators Surface-edge state and half quantized Hall conductance in topological insulators

2010-07-03

arxiv.org/abs/1007.0497v2

Phys. Rev. B 84, 085312 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.84.085312

We propose a surface-edge state theory for half quantized Hall conductance of surface states in topological insulators. The gap opening of a single Dirac cone for the surface states in a weak magnetic field is demonstrated. We find a new surface state resides on the surface edges and carries chiral edge current, resulting in a half-quantized Hall conductance in a four-terminal setup. We also give a physical interpretation of the half quantized conductance by showing that this state is the product of splitting of a boundary bound state of massive Dirac fermions which carries a conductance quantum.

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