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

被引:30
作者
Fang, Chen [1 ,2 ]
Gilbert, Matthew J. [3 ,4 ]
Xu, Su-Yang [2 ]
Bernevig, B. Andrei [2 ]
Hasan, M. Zahid [2 ]
机构
[1] Univ Illinois, Dept Phys, Urbana, IL 61801 USA
[2] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
[3] Univ Illinois, Dept Elect & Comp Engn, Urbana, IL 61801 USA
[4] Univ Illinois, Micro & Nanotechnol Lab, Urbana, IL 61801 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevB.88.125141
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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) rho(q,omega), while the position of high-intensity peaks generically depends on the geometric features of the iso-energy contour at energy omega, 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-xSnx Te and predict all vanishing peaks in rho(q,omega). The model-independent analysis is supported by numerical calculations using an effective four-band model derived from symmetry analysis.
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页数:8
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