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New classes of topological crystalline insulators having surface rotation anomaly
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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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American Association for the Advancement of Science
2019
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6924984/ https://www.ncbi.nlm.nih.gov/pubmed/31903416 http://dx.doi.org/10.1126/sciadv.aat2374 |
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author | Fang, Chen Fu, Liang |
author_facet | Fang, Chen Fu, Liang |
author_sort | Fang, Chen |
collection | PubMed |
description | 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 ne(2)/h. |
format | Online Article Text |
id | pubmed-6924984 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | American Association for the Advancement of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-69249842020-01-03 New classes of topological crystalline insulators having surface rotation anomaly Fang, Chen Fu, Liang Sci Adv Research Articles 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 ne(2)/h. American Association for the Advancement of Science 2019-12-20 /pmc/articles/PMC6924984/ /pubmed/31903416 http://dx.doi.org/10.1126/sciadv.aat2374 Text en Copyright © 2019 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC). http://creativecommons.org/licenses/by-nc/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution-NonCommercial license (http://creativecommons.org/licenses/by-nc/4.0/) , which permits use, distribution, and reproduction in any medium, so long as the resultant use is not for commercial advantage and provided the original work is properly cited. |
spellingShingle | Research Articles Fang, Chen Fu, Liang New classes of topological crystalline insulators having surface rotation anomaly |
title | New classes of topological crystalline insulators having surface rotation anomaly |
title_full | New classes of topological crystalline insulators having surface rotation anomaly |
title_fullStr | New classes of topological crystalline insulators having surface rotation anomaly |
title_full_unstemmed | New classes of topological crystalline insulators having surface rotation anomaly |
title_short | New classes of topological crystalline insulators having surface rotation anomaly |
title_sort | new classes of topological crystalline insulators having surface rotation anomaly |
topic | Research Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6924984/ https://www.ncbi.nlm.nih.gov/pubmed/31903416 http://dx.doi.org/10.1126/sciadv.aat2374 |
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