Non-Abelian band topology in noninteracting metals
Electron energy bands of crystalline solids generically exhibit degeneracies called band-structure nodes. Here, we introduce non-Abelian topological charges that characterize line nodes inside the momentum space of crystalline metals with space-time inversion (PT) symmetry and with weak spin-orbit c...
Gespeichert in:
| Veröffentlicht in: | Science (American Association for the Advancement of Science) 2019-09, Vol.365 (6459), p.1273-1277 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1277 |
|---|---|
| container_issue | 6459 |
| container_start_page | 1273 |
| container_title | Science (American Association for the Advancement of Science) |
| container_volume | 365 |
| creator | Wu, QuanSheng Soluyanov, Alexey A. Bzdušek, Tomáš |
| description | Electron energy bands of crystalline solids generically exhibit degeneracies called band-structure nodes. Here, we introduce non-Abelian topological charges that characterize line nodes inside the momentum space of crystalline metals with space-time inversion (PT) symmetry and with weak spin-orbit coupling.We show that these are quaternion charges, similar to those describing disclinations in biaxial nematics. Starting from two-band considerations, we develop the complete many-band description of nodes in the presence of PT and mirror symmetries, which allows us to investigate the topological stability of nodal chains in metals. The non-Abelian charges put strict constraints on the possible nodal-line configurations. Our analysis goes beyond the standard approach to band topology and implies the existence of one-dimensional topological phases not present in existing classifications. |
| doi_str_mv | 10.1126/science.aau8740 |
| format | Article |
| fullrecord | <record><control><sourceid>jstor_proqu</sourceid><recordid>TN_cdi_proquest_miscellaneous_2283112476</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>26803106</jstor_id><sourcerecordid>26803106</sourcerecordid><originalsourceid>FETCH-LOGICAL-c454t-f9b9e90c5d4457345f7b6f7289c8dd9dfc8f14efdd1ff4b40b1c40d7fe3bdfee3</originalsourceid><addsrcrecordid>eNpdkDtPwzAURi0EoqUwM4EisbCk9SuxPaKKl1TBAnPkZ5UqtYudDP33uGrowHSH79zvXh0AbhGcI4TrRdKt9drOpRw4o_AMTBEUVSkwJOdgCiGpSw5ZNQFXKW0gzJkgl2BCEK0Z4nwK8Efw5ZOyXSt9oaQ3RR92oQvrfdH6wgff-t5GqfvWr4ut7WWXrsGFy8PejHMGvl-ev5Zv5erz9X35tCo1rWhfOqGEFVBXhtKKEVo5pmrHMBeaGyOM09whap0xyDmqKFRIU2iYs0QZZy2Zgcdj7y6Gn8Gmvtm2Sduuk96GITUYc5IlUFZn9OEfuglD9Pm7A4VrznFFMrU4UjqGlKJ1zS62Wxn3DYLNQWcz6mxGnXnjfuwd1NaaE__nLwN3R2CT-hBPeb4ICYI1-QUbN3yA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2282688253</pqid></control><display><type>article</type><title>Non-Abelian band topology in noninteracting metals</title><source>American Association for the Advancement of Science</source><creator>Wu, QuanSheng ; Soluyanov, Alexey A. ; Bzdušek, Tomáš</creator><creatorcontrib>Wu, QuanSheng ; Soluyanov, Alexey A. ; Bzdušek, Tomáš</creatorcontrib><description>Electron energy bands of crystalline solids generically exhibit degeneracies called band-structure nodes. Here, we introduce non-Abelian topological charges that characterize line nodes inside the momentum space of crystalline metals with space-time inversion (PT) symmetry and with weak spin-orbit coupling.We show that these are quaternion charges, similar to those describing disclinations in biaxial nematics. Starting from two-band considerations, we develop the complete many-band description of nodes in the presence of PT and mirror symmetries, which allows us to investigate the topological stability of nodal chains in metals. The non-Abelian charges put strict constraints on the possible nodal-line configurations. Our analysis goes beyond the standard approach to band topology and implies the existence of one-dimensional topological phases not present in existing classifications.</description><identifier>ISSN: 0036-8075</identifier><identifier>EISSN: 1095-9203</identifier><identifier>DOI: 10.1126/science.aau8740</identifier><identifier>PMID: 31467188</identifier><language>eng</language><publisher>United States: American Association for the Advancement of Science</publisher><subject>Metals ; Topology</subject><ispartof>Science (American Association for the Advancement of Science), 2019-09, Vol.365 (6459), p.1273-1277</ispartof><rights>Copyright © 2019 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works.</rights><rights>Copyright © 2019, American Association for the Advancement of Science</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c454t-f9b9e90c5d4457345f7b6f7289c8dd9dfc8f14efdd1ff4b40b1c40d7fe3bdfee3</citedby><cites>FETCH-LOGICAL-c454t-f9b9e90c5d4457345f7b6f7289c8dd9dfc8f14efdd1ff4b40b1c40d7fe3bdfee3</cites><orcidid>0000-0001-6904-5264 ; 0000-0003-3539-1024 ; 0000-0002-9154-4489</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,2882,2883,27923,27924</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/31467188$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Wu, QuanSheng</creatorcontrib><creatorcontrib>Soluyanov, Alexey A.</creatorcontrib><creatorcontrib>Bzdušek, Tomáš</creatorcontrib><title>Non-Abelian band topology in noninteracting metals</title><title>Science (American Association for the Advancement of Science)</title><addtitle>Science</addtitle><description>Electron energy bands of crystalline solids generically exhibit degeneracies called band-structure nodes. Here, we introduce non-Abelian topological charges that characterize line nodes inside the momentum space of crystalline metals with space-time inversion (PT) symmetry and with weak spin-orbit coupling.We show that these are quaternion charges, similar to those describing disclinations in biaxial nematics. Starting from two-band considerations, we develop the complete many-band description of nodes in the presence of PT and mirror symmetries, which allows us to investigate the topological stability of nodal chains in metals. The non-Abelian charges put strict constraints on the possible nodal-line configurations. Our analysis goes beyond the standard approach to band topology and implies the existence of one-dimensional topological phases not present in existing classifications.</description><subject>Metals</subject><subject>Topology</subject><issn>0036-8075</issn><issn>1095-9203</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNpdkDtPwzAURi0EoqUwM4EisbCk9SuxPaKKl1TBAnPkZ5UqtYudDP33uGrowHSH79zvXh0AbhGcI4TrRdKt9drOpRw4o_AMTBEUVSkwJOdgCiGpSw5ZNQFXKW0gzJkgl2BCEK0Z4nwK8Efw5ZOyXSt9oaQ3RR92oQvrfdH6wgff-t5GqfvWr4ut7WWXrsGFy8PejHMGvl-ev5Zv5erz9X35tCo1rWhfOqGEFVBXhtKKEVo5pmrHMBeaGyOM09whap0xyDmqKFRIU2iYs0QZZy2Zgcdj7y6Gn8Gmvtm2Sduuk96GITUYc5IlUFZn9OEfuglD9Pm7A4VrznFFMrU4UjqGlKJ1zS62Wxn3DYLNQWcz6mxGnXnjfuwd1NaaE__nLwN3R2CT-hBPeb4ICYI1-QUbN3yA</recordid><startdate>20190920</startdate><enddate>20190920</enddate><creator>Wu, QuanSheng</creator><creator>Soluyanov, Alexey A.</creator><creator>Bzdušek, Tomáš</creator><general>American Association for the Advancement of Science</general><general>The American Association for the Advancement of Science</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QF</scope><scope>7QG</scope><scope>7QL</scope><scope>7QP</scope><scope>7QQ</scope><scope>7QR</scope><scope>7SC</scope><scope>7SE</scope><scope>7SN</scope><scope>7SP</scope><scope>7SR</scope><scope>7SS</scope><scope>7T7</scope><scope>7TA</scope><scope>7TB</scope><scope>7TK</scope><scope>7TM</scope><scope>7U5</scope><scope>7U9</scope><scope>8BQ</scope><scope>8FD</scope><scope>C1K</scope><scope>F28</scope><scope>FR3</scope><scope>H8D</scope><scope>H8G</scope><scope>H94</scope><scope>JG9</scope><scope>JQ2</scope><scope>K9.</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M7N</scope><scope>P64</scope><scope>RC3</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0001-6904-5264</orcidid><orcidid>https://orcid.org/0000-0003-3539-1024</orcidid><orcidid>https://orcid.org/0000-0002-9154-4489</orcidid></search><sort><creationdate>20190920</creationdate><title>Non-Abelian band topology in noninteracting metals</title><author>Wu, QuanSheng ; Soluyanov, Alexey A. ; Bzdušek, Tomáš</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c454t-f9b9e90c5d4457345f7b6f7289c8dd9dfc8f14efdd1ff4b40b1c40d7fe3bdfee3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Metals</topic><topic>Topology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, QuanSheng</creatorcontrib><creatorcontrib>Soluyanov, Alexey A.</creatorcontrib><creatorcontrib>Bzdušek, Tomáš</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>Aluminium Industry Abstracts</collection><collection>Animal Behavior Abstracts</collection><collection>Bacteriology Abstracts (Microbiology B)</collection><collection>Calcium & Calcified Tissue Abstracts</collection><collection>Ceramic Abstracts</collection><collection>Chemoreception Abstracts</collection><collection>Computer and Information Systems Abstracts</collection><collection>Corrosion Abstracts</collection><collection>Ecology Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Engineered Materials Abstracts</collection><collection>Entomology Abstracts (Full archive)</collection><collection>Industrial and Applied Microbiology Abstracts (Microbiology A)</collection><collection>Materials Business File</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Neurosciences Abstracts</collection><collection>Nucleic Acids Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Virology and AIDS Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Copper Technical Reference Library</collection><collection>AIDS and Cancer Research Abstracts</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Health & Medical Complete (Alumni)</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Algology Mycology and Protozoology Abstracts (Microbiology C)</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>Genetics Abstracts</collection><collection>MEDLINE - Academic</collection><jtitle>Science (American Association for the Advancement of Science)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, QuanSheng</au><au>Soluyanov, Alexey A.</au><au>Bzdušek, Tomáš</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Non-Abelian band topology in noninteracting metals</atitle><jtitle>Science (American Association for the Advancement of Science)</jtitle><addtitle>Science</addtitle><date>2019-09-20</date><risdate>2019</risdate><volume>365</volume><issue>6459</issue><spage>1273</spage><epage>1277</epage><pages>1273-1277</pages><issn>0036-8075</issn><eissn>1095-9203</eissn><abstract>Electron energy bands of crystalline solids generically exhibit degeneracies called band-structure nodes. Here, we introduce non-Abelian topological charges that characterize line nodes inside the momentum space of crystalline metals with space-time inversion (PT) symmetry and with weak spin-orbit coupling.We show that these are quaternion charges, similar to those describing disclinations in biaxial nematics. Starting from two-band considerations, we develop the complete many-band description of nodes in the presence of PT and mirror symmetries, which allows us to investigate the topological stability of nodal chains in metals. The non-Abelian charges put strict constraints on the possible nodal-line configurations. Our analysis goes beyond the standard approach to band topology and implies the existence of one-dimensional topological phases not present in existing classifications.</abstract><cop>United States</cop><pub>American Association for the Advancement of Science</pub><pmid>31467188</pmid><doi>10.1126/science.aau8740</doi><tpages>5</tpages><orcidid>https://orcid.org/0000-0001-6904-5264</orcidid><orcidid>https://orcid.org/0000-0003-3539-1024</orcidid><orcidid>https://orcid.org/0000-0002-9154-4489</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0036-8075 |
| ispartof | Science (American Association for the Advancement of Science), 2019-09, Vol.365 (6459), p.1273-1277 |
| issn | 0036-8075 1095-9203 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_2283112476 |
| source | American Association for the Advancement of Science |
| subjects | Metals Topology |
| title | Non-Abelian band topology in noninteracting metals |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-11T21%3A28%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Non-Abelian%20band%20topology%20in%20noninteracting%20metals&rft.jtitle=Science%20(American%20Association%20for%20the%20Advancement%20of%20Science)&rft.au=Wu,%20QuanSheng&rft.date=2019-09-20&rft.volume=365&rft.issue=6459&rft.spage=1273&rft.epage=1277&rft.pages=1273-1277&rft.issn=0036-8075&rft.eissn=1095-9203&rft_id=info:doi/10.1126/science.aau8740&rft_dat=%3Cjstor_proqu%3E26803106%3C/jstor_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2282688253&rft_id=info:pmid/31467188&rft_jstor_id=26803106&rfr_iscdi=true |