Theory of quasiparticle interference in mirror-symmetric two-dimensional systems and its application to surface states of topological crystalline insulators

Chen Fang, Matthew J. Gilbert, Su Yang Xu, B. Andrei Bernevig, M. Zahid Hasan

Research output: Contribution to journalArticle

29 Scopus citations

Abstract

We study symmetry-protected features in the quasiparticle interference (QPI) pattern of two-dimensional (2D) systems with mirror symmetries and time-reversal symmetry, around a single static point impurity. We show that, in the Fourier-transformed local density of states (FT-LDOS) ρ(q,ω), while the position of high-intensity peaks generically depends on the geometric features of the iso-energy contour at energy ω, the absence of certain peaks is guaranteed by the opposite mirror eigenvalues of the two Bloch states that are (i) on the mirror-symmetric lines in the Brillouin zone (BZ) and (ii) separated by scattering vector q. We apply the general result to the QPI on the 001 surface of the topological crystalline insulator Pb1-xSn xTe and predict all vanishing peaks in ρ(q,ω). The model-independent analysis is supported by numerical calculations using an effective four-band model derived from symmetry analysis.

Original languageEnglish (US)
Article number125141
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume88
Issue number12
DOIs
StatePublished - Sep 30 2013

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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