Helical edge modes preserved across transitions from topological insulators with indirect gaps to insulators or semimetals

Shijun Mao, Yoshio Kuramoto

研究成果: Article査読

6 被引用数 (Scopus)

抄録

Helical edge modes are characteristic of topological insulators in two dimensions. This paper demonstrates that helical edge modes remain across transitions to ordinary insulators or to semimetals under certain conditions. Straight and zigzag edges are considered in a tight-binding model on a square lattice. We focus on the case of an indirect gap in bulk topological insulators and obtain the spectrum of the edge modes on both sides of the transitions. For a straight edge, the helical edge mode in topological insulators with strong particle-hole asymmetry has a reentrant region in momentum space. Edge modes show up even in ordinary insulators but are absent in semimetals. In the zigzag edge, the helical edge mode survives in both semimetals and ordinary insulators. However, the edge modes are absent inside the energy gap of ordinary insulators. All results are obtained analytically.

本文言語English
論文番号085114
ジャーナルPhysical Review B - Condensed Matter and Materials Physics
83
8
DOI
出版ステータスPublished - 2011 2月 28
外部発表はい

ASJC Scopus subject areas

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学

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