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:
-
[1];
[2]
- 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
- 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. doi: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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Fig. 1: The schematics of the gapless states in two dimensions that have rotation and time-reversal symmetries. There are (A) two, (B) four, and (C) six Dirac cones, related to each other by two-, four-, and sixfold rotation symmetries, respectively, in the first Brillouin zone. The contours are the boundariesmore »
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Strong and fragile topological Dirac semimetals with higher-order Fermi arcs
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