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

Abstract

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 (Cn). The new anomalous states have n flavors of massless Dirac fermions protected by T and Cn, 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.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. 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
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Key Research and Development Program of China; NSFC
OSTI Identifier:
1625991
Grant/Contract Number:  
SC0010526; 2016YFA0302400; 11674370
Resource Type:
Accepted Manuscript
Journal Name:
Science Advances
Additional Journal Information:
Journal Volume: 5; Journal Issue: 12; Journal ID: ISSN 2375-2548
Publisher:
AAAS
Country of Publication:
United States
Language:
English
Subject:
Science & Technology - Other Topics

Citation Formats

Fang, Chen, and Fu, Liang. New classes of topological crystalline insulators having surface rotation anomaly. United States: N. p., 2019. Web. https://doi.org/10.1126/sciadv.aat2374.
Fang, Chen, & Fu, Liang. New classes of topological crystalline insulators having surface rotation anomaly. United States. https://doi.org/10.1126/sciadv.aat2374
Fang, Chen, and Fu, Liang. Fri . "New classes of topological crystalline insulators having surface rotation anomaly". United States. https://doi.org/10.1126/sciadv.aat2374. https://www.osti.gov/servlets/purl/1625991.
@article{osti_1625991,
title = {New classes of topological crystalline insulators having surface rotation anomaly},
author = {Fang, Chen and Fu, Liang},
abstractNote = {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 (Cn). The new anomalous states have n flavors of massless Dirac fermions protected by T and Cn, 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.},
doi = {10.1126/sciadv.aat2374},
journal = {Science Advances},
number = 12,
volume = 5,
place = {United States},
year = {2019},
month = {12}
}

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Cited by: 11 works
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    Works referencing / citing this record:

    Strong and fragile topological Dirac semimetals with higher-order Fermi arcs
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    Appearance of hinge states in second-order topological insulators via the cutting procedure
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    Bulk-edge and bulk-hinge correspondence in inversion-symmetric insulators
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