New classes of topological crystalline insulators having surface rotation anomaly

Fang, Chen; Fu, Liang

doi:10.1126/sciadv.aat2374

Title: New classes of topological crystalline insulators having surface rotation anomaly

Journal Article · Fri Dec 20 00:00:00 EST 2019 · Science Advances

DOI:https://doi.org/10.1126/sciadv.aat2374· OSTI ID:1625991

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Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); Songshan Lake Materials Lab., Dongguan (China);; Chinese Academy of Sciences (CAS), Beijing (China). Kavli Institute for Theoretical Sciences
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics

We discover new types of quantum anomalies in two-dimensional systems with time-reversal symmetry (T) and discrete rotation symmetry with order of n = 2, 4, and 6 (C_n). The new anomalous states have n flavors of massless Dirac fermions protected by T and C_n, whereas any two-dimensional lattices having the two symmetries must have a multiple of 4, 8, and 12 Dirac cones for n = 2, 4, and 6, respectively. We show that these anomalous states are physically realized on the surface of new classes of topological crystalline insulators, normal to the rotation axis. Moreover, these topological crystalline insulators support n gapless one-dimensional helical mode on the otherwise fully gapped side surface, connecting the anomalous two-dimensional states on the top and bottom surfaces. The presence of these helical modes enables a new quantum device made from a topological crystalline insulator nanorod, a “helical nanorod,” which has a quantized longitudinal conductance of ne²/h.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Key Research and Development Program of China; NSFC

Grant/Contract Number:: SC0010526; 2016YFA0302400; 11674370

OSTI ID:: 1625991

Journal Information:: Science Advances, Vol. 5, Issue 12; ISSN 2375-2548

Publisher:: AAASCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 82 works

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