Blog
About

238
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Topological Insulators in Three Dimensions

      Preprint

      , ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          We study three dimensional generalizations of the quantum spin Hall (QSH) effect. Unlike two dimensions, where the QSH effect is distinguished by a single \(Z_2\) topological invariant, in three dimensions there are 4 invariants distinguishing 16 "topological insulator" phases. There are two general classes: weak (WTI) and strong (STI) topological insulators. The WTI states are equivalent to layered 2D QSH states, but are fragile because disorder continuously connects them to band insulators. The STI states are robust and have surface states that realize the 2+1 dimensional parity anomaly without fermion doubling, giving rise to a novel "topological metal" surface phase. We introduce a tight binding model which realizes both the WTI and STI phases, and we discuss the relevance of this model to real three dimensional materials, including bismuth.

          Related collections

          Author and article information

          Journal
          2006-07-26
          2007-07-11
          Article
          10.1103/PhysRevLett.98.106803
          cond-mat/0607699
          Custom metadata
          Phys. Rev. Lett. 98, 106803 (2007)
          4 Pages, 3 Figures; published version
          cond-mat.mes-hall

          Nanophysics

          Comments

          Comment on this article