Quantitative mappings between symmetry and topology in solids

The defining quantities of topological materials—the topological invariants—are often difficult to calculate. Here, Song et al. report a simplified method to calculate both the symmetry data and the topological invariants for arbitrary gapped band structure with time-reversal symmetry.

Bibliographic Details
Main Authors: Zhida Song, Tiantian Zhang, Zhong Fang, Chen Fang
Format: Article
Language:English
Published: Nature Publishing Group 2018-08-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-018-06010-w
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spelling doaj-0e6f5e0a6ef247048d2183295b0569932021-05-11T10:31:56ZengNature Publishing GroupNature Communications2041-17232018-08-01911710.1038/s41467-018-06010-wQuantitative mappings between symmetry and topology in solidsZhida Song0Tiantian Zhang1Zhong Fang2Chen Fang3Beijing National Research Center for Condensed Matter Physics, and Institute of Physics, Chinese Academy of SciencesBeijing National Research Center for Condensed Matter Physics, and Institute of Physics, Chinese Academy of SciencesBeijing National Research Center for Condensed Matter Physics, and Institute of Physics, Chinese Academy of SciencesBeijing National Research Center for Condensed Matter Physics, and Institute of Physics, Chinese Academy of SciencesThe defining quantities of topological materials—the topological invariants—are often difficult to calculate. Here, Song et al. report a simplified method to calculate both the symmetry data and the topological invariants for arbitrary gapped band structure with time-reversal symmetry.https://doi.org/10.1038/s41467-018-06010-w
collection DOAJ
language English
format Article
sources DOAJ
author Zhida Song
Tiantian Zhang
Zhong Fang
Chen Fang
spellingShingle Zhida Song
Tiantian Zhang
Zhong Fang
Chen Fang
Quantitative mappings between symmetry and topology in solids
Nature Communications
author_facet Zhida Song
Tiantian Zhang
Zhong Fang
Chen Fang
author_sort Zhida Song
title Quantitative mappings between symmetry and topology in solids
title_short Quantitative mappings between symmetry and topology in solids
title_full Quantitative mappings between symmetry and topology in solids
title_fullStr Quantitative mappings between symmetry and topology in solids
title_full_unstemmed Quantitative mappings between symmetry and topology in solids
title_sort quantitative mappings between symmetry and topology in solids
publisher Nature Publishing Group
series Nature Communications
issn 2041-1723
publishDate 2018-08-01
description The defining quantities of topological materials—the topological invariants—are often difficult to calculate. Here, Song et al. report a simplified method to calculate both the symmetry data and the topological invariants for arbitrary gapped band structure with time-reversal symmetry.
url https://doi.org/10.1038/s41467-018-06010-w
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AT tiantianzhang quantitativemappingsbetweensymmetryandtopologyinsolids
AT zhongfang quantitativemappingsbetweensymmetryandtopologyinsolids
AT chenfang quantitativemappingsbetweensymmetryandtopologyinsolids
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