Low-velocity anisotropic Dirac fermions on the side surface of topological insulators

Details Low-velocity anisotropic Dirac fermions on the side surface of topological insulators Low-velocity anisotropic Dirac fermions on the side surface of topological insulators

2010-12-31

arxiv.org/abs/1101.0210v3

Phys. Rev. B 84, 195425 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 columns, 4 figures

Scientific paper

We report anisotropic Dirac-cone surface bands on a side-surface geometry of the topological insulator Bi$_2$Se$_3$ revealed by first-principles density-functional calculations. We find that the electron velocity in the side-surface Dirac cone is anisotropically reduced from that in the (111)-surface Dirac cone, and the velocity is not in parallel with the wave vector {\bf k} except for {\bf k} in high-symmetry directions. The size of the electron spin depends on the direction of {\bf k} due to anisotropic variation of the noncollinearity of the electron state. Low-energy effective Hamiltonian is proposed for side-surface Dirac fermions, and its implications are presented including refractive transport phenomena occurring at the edges of tological insulators where different surfaces meet.

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