Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
| cam.issuedOnline | 2021-12-03 | |
| dc.contributor.author | Peng, B | |
| dc.contributor.author | Murakami, S | |
| dc.contributor.author | Monserrat, B | |
| dc.contributor.author | Zhang, T | |
| dc.contributor.orcid | Peng, B [0000-0001-6406-663X] | |
| dc.contributor.orcid | Murakami, S [0000-0002-2033-9402] | |
| dc.contributor.orcid | Zhang, T [0000-0002-2010-6721] | |
| dc.date.accessioned | 2021-12-22T15:06:24Z | |
| dc.date.available | 2021-12-22T15:06:24Z | |
| dc.date.issued | 2021 | |
| dc.date.submitted | 2021-06-01 | |
| dc.date.updated | 2021-12-22T15:06:23Z | |
| dc.description.abstract | <jats:title>Abstract</jats:title><jats:p>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 <jats:inline-formula><jats:alternatives><jats:tex-math>$${{{\mathcal{T}}}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>T</mml:mi> </mml:math></jats:alternatives></jats:inline-formula> and glide mirror symmetry <jats:inline-formula><jats:alternatives><jats:tex-math>$${\bar{M}}_{y}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mrow> <mml:mover> <mml:mrow> <mml:mi>M</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> <mml:mrow> <mml:mi>y</mml:mi> </mml:mrow> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula>. Our results indicate that surface degeneracies can be generically protected by symmetries such as <jats:inline-formula><jats:alternatives><jats:tex-math>$${{{\mathcal{T}}}}{\bar{M}}_{y}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>T</mml:mi> <mml:msub> <mml:mrow> <mml:mover> <mml:mrow> <mml:mi>M</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> <mml:mrow> <mml:mi>y</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>, and phonons provide an ideal platform to explore such degeneracies.</jats:p> | |
| dc.identifier.doi | 10.17863/CAM.79149 | |
| dc.identifier.eissn | 2057-3960 | |
| dc.identifier.issn | 2057-3960 | |
| dc.identifier.other | s41524-021-00667-6 | |
| dc.identifier.other | 667 | |
| dc.identifier.uri | https://www.repository.cam.ac.uk/handle/1810/331699 | |
| dc.language | en | |
| dc.publisher | Springer Science and Business Media LLC | |
| dc.publisher.url | http://dx.doi.org/10.1038/s41524-021-00667-6 | |
| dc.subject | 51 Physical Sciences | |
| dc.subject | 5104 Condensed Matter Physics | |
| dc.title | Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP | |
| dc.type | Article | |
| dcterms.dateAccepted | 2021-11-06 | |
| prism.issueIdentifier | 1 | |
| prism.publicationName | npj Computational Materials | |
| prism.volume | 7 | |
| pubs.funder-project-id | Engineering and Physical Sciences Research Council (EP/P020259/1) | |
| rioxxterms.licenseref.uri | http://creativecommons.org/licenses/by/4.0/ | |
| rioxxterms.version | VoR | |
| rioxxterms.versionofrecord | 10.1038/s41524-021-00667-6 |
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