Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP

Abstract Degenerate points/lines in the band structures of crystals have become a staple of the growing number of topological materials. The bulk-boundary correspondence provides a relation between bulk topology and surface states. While line degeneracies of bulk excitations have been extensively ch...

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Autores principales:	Bo Peng, Shuichi Murakami, Bartomeu Monserrat, Tiantian Zhang
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Materials of engineering and construction. Mechanics of materials TA401-492 Computer software QA76.75-76.765
Acceso en línea:	https://doaj.org/article/67b0e4defc4041418ac0533f410c385d
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spelling	oai:doaj.org-article:67b0e4defc4041418ac0533f410c385d2021-12-05T12:10:16ZDegenerate topological line surface phonons in quasi-1D double helix crystal SnIP10.1038/s41524-021-00667-62057-3960https://doaj.org/article/67b0e4defc4041418ac0533f410c385d2021-12-01T00:00:00Zhttps://doi.org/10.1038/s41524-021-00667-6https://doaj.org/toc/2057-3960Abstract Degenerate points/lines in the band structures of crystals have become a staple of the growing number of topological materials. The bulk-boundary correspondence provides a relation between bulk topology and surface states. While line degeneracies of bulk excitations have been extensively characterised, line degeneracies of surface states are not well understood. We show that SnIP, a quasi-one-dimensional van der Waals material with a double helix crystal structure, exhibits topological nodal rings/lines in both the bulk phonon modes and their corresponding surface states. Using a combination of first-principles calculations, symmetry-based indicator theories and Zak phase analysis, we find that two neighbouring bulk nodal rings form doubly degenerate lines in their drumhead-like surface states, which are protected by the combination of time-reversal symmetry $${{{\mathcal{T}}}}$$ T and glide mirror symmetry $${\bar{M}}_{y}$$ M ¯ y . Our results indicate that surface degeneracies can be generically protected by symmetries such as $${{{\mathcal{T}}}}{\bar{M}}_{y}$$ T M ¯ y , and phonons provide an ideal platform to explore such degeneracies.Bo PengShuichi MurakamiBartomeu MonserratTiantian ZhangNature PortfolioarticleMaterials of engineering and construction. Mechanics of materialsTA401-492Computer softwareQA76.75-76.765ENnpj Computational Materials, Vol 7, Iss 1, Pp 1-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Materials of engineering and construction. Mechanics of materials TA401-492 Computer software QA76.75-76.765
spellingShingle	Materials of engineering and construction. Mechanics of materials TA401-492 Computer software QA76.75-76.765 Bo Peng Shuichi Murakami Bartomeu Monserrat Tiantian Zhang Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
description	Abstract Degenerate points/lines in the band structures of crystals have become a staple of the growing number of topological materials. The bulk-boundary correspondence provides a relation between bulk topology and surface states. While line degeneracies of bulk excitations have been extensively characterised, line degeneracies of surface states are not well understood. We show that SnIP, a quasi-one-dimensional van der Waals material with a double helix crystal structure, exhibits topological nodal rings/lines in both the bulk phonon modes and their corresponding surface states. Using a combination of first-principles calculations, symmetry-based indicator theories and Zak phase analysis, we find that two neighbouring bulk nodal rings form doubly degenerate lines in their drumhead-like surface states, which are protected by the combination of time-reversal symmetry $${{{\mathcal{T}}}}$$ T and glide mirror symmetry $${\bar{M}}_{y}$$ M ¯ y . Our results indicate that surface degeneracies can be generically protected by symmetries such as $${{{\mathcal{T}}}}{\bar{M}}_{y}$$ T M ¯ y , and phonons provide an ideal platform to explore such degeneracies.
format	article
author	Bo Peng Shuichi Murakami Bartomeu Monserrat Tiantian Zhang
author_facet	Bo Peng Shuichi Murakami Bartomeu Monserrat Tiantian Zhang
author_sort	Bo Peng
title	Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
title_short	Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
title_full	Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
title_fullStr	Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
title_full_unstemmed	Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
title_sort	degenerate topological line surface phonons in quasi-1d double helix crystal snip
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/67b0e4defc4041418ac0533f410c385d
work_keys_str_mv	AT bopeng degeneratetopologicallinesurfacephononsinquasi1ddoublehelixcrystalsnip AT shuichimurakami degeneratetopologicallinesurfacephononsinquasi1ddoublehelixcrystalsnip AT bartomeumonserrat degeneratetopologicallinesurfacephononsinquasi1ddoublehelixcrystalsnip AT tiantianzhang degeneratetopologicallinesurfacephononsinquasi1ddoublehelixcrystalsnip
_version_	1718372196632494080

Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP

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