Nodal phases in non-Hermitian wallpaper crystals
Symmetry and non-Hermiticity play pivotal roles in photonic lattices. While symmetries, such as parity-time ( P T) symmetry, have attracted ample attention, more intricate crystalline symmetries have been neglected in comparison. Here, we investigate the impact of the 17 wallpaper space groups of tw...
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| Veröffentlicht in: | Applied physics letters 2024-01, Vol.124 (5) |
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| creator | König, J. Lukas K. Herber, Felix Bergholtz, Emil J. |
| description | Symmetry and non-Hermiticity play pivotal roles in photonic lattices. While symmetries, such as parity-time (
P
T) symmetry, have attracted ample attention, more intricate crystalline symmetries have been neglected in comparison. Here, we investigate the impact of the 17 wallpaper space groups of two-dimensional crystals on non-Hermitian band structures. We show that the non-trivial space group representations enforce degeneracies at high symmetry points and dictate their dispersion away from these points. In combination with either
T or
P
T, the symmorphic p4 mm symmetry and the non-symmorphic p2mg, p2gg, and p4gm symmetries protect exceptional chains intersecting at the pertinent high symmetry points. |
| doi_str_mv | 10.1063/5.0185359 |
| format | Article |
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P
T) symmetry, have attracted ample attention, more intricate crystalline symmetries have been neglected in comparison. Here, we investigate the impact of the 17 wallpaper space groups of two-dimensional crystals on non-Hermitian band structures. We show that the non-trivial space group representations enforce degeneracies at high symmetry points and dictate their dispersion away from these points. In combination with either
T or
P
T, the symmorphic p4 mm symmetry and the non-symmorphic p2mg, p2gg, and p4gm symmetries protect exceptional chains intersecting at the pertinent high symmetry points.</description><identifier>ISSN: 0003-6951</identifier><identifier>ISSN: 1077-3118</identifier><identifier>EISSN: 1077-3118</identifier><identifier>DOI: 10.1063/5.0185359</identifier><identifier>CODEN: APPLAB</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Crystal lattices ; fysik ; lattice model ; non-hermitian ; photonic crystal ; Photonic crystals ; Physics ; Symmetry ; Wallpaper</subject><ispartof>Applied physics letters, 2024-01, Vol.124 (5)</ispartof><rights>Author(s)</rights><rights>2024 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c324t-1b988e4fa253c1309a305a93ae938aeeb3c007603e08122865aa39402ba4a7103</cites><orcidid>0009-0008-1038-0410 ; 0000-0002-9739-2930 ; 0000-0002-1784-4619</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/apl/article-lookup/doi/10.1063/5.0185359$$EHTML$$P50$$Gscitation$$Hfree_for_read</linktohtml><link.rule.ids>230,314,552,780,784,794,885,4510,27923,27924,76155</link.rule.ids><backlink>$$Uhttps://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-226398$$DView record from Swedish Publication Index$$Hfree_for_read</backlink></links><search><creatorcontrib>König, J. Lukas K.</creatorcontrib><creatorcontrib>Herber, Felix</creatorcontrib><creatorcontrib>Bergholtz, Emil J.</creatorcontrib><title>Nodal phases in non-Hermitian wallpaper crystals</title><title>Applied physics letters</title><description>Symmetry and non-Hermiticity play pivotal roles in photonic lattices. While symmetries, such as parity-time (
P
T) symmetry, have attracted ample attention, more intricate crystalline symmetries have been neglected in comparison. Here, we investigate the impact of the 17 wallpaper space groups of two-dimensional crystals on non-Hermitian band structures. We show that the non-trivial space group representations enforce degeneracies at high symmetry points and dictate their dispersion away from these points. In combination with either
T or
P
T, the symmorphic p4 mm symmetry and the non-symmorphic p2mg, p2gg, and p4gm symmetries protect exceptional chains intersecting at the pertinent high symmetry points.</description><subject>Crystal lattices</subject><subject>fysik</subject><subject>lattice model</subject><subject>non-hermitian</subject><subject>photonic crystal</subject><subject>Photonic crystals</subject><subject>Physics</subject><subject>Symmetry</subject><subject>Wallpaper</subject><issn>0003-6951</issn><issn>1077-3118</issn><issn>1077-3118</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>D8T</sourceid><recordid>eNp90MFLwzAUBvAgCs7pwf-g4Emx8yWvaZPj2NQJQy_qNbzWTDO6piYtY_-9lQ2Pnj4e_Pj4eIxdcphwyPFOToAriVIfsRGHokiRc3XMRgCAaa4lP2VnMa6HUwrEEYNn_0F10n5RtDFxTdL4Jl3YsHGdoybZUl231NqQVGEXO6rjOTtZDWEvDjlmbw_3r7NFunx5fJpNl2mFIutSXmqlbLYiIbHiCJoQJGkkq1GRtSVWAEUOaEFxIVQuiVBnIErKqOCAY3a7741b2_alaYPbUNgZT87M3fvU-PBpYm-EyFGrgV_teRv8d29jZ9a-D82w0AgtuFAZgB7U9V5VwccY7OqvloP5_Z-R5vC_wd4cBlSuo8755h_8Ax8hbQ0</recordid><startdate>20240129</startdate><enddate>20240129</enddate><creator>König, J. Lukas K.</creator><creator>Herber, Felix</creator><creator>Bergholtz, Emil J.</creator><general>American Institute of Physics</general><scope>AJDQP</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>ABAVF</scope><scope>ADTPV</scope><scope>AOWAS</scope><scope>D8T</scope><scope>DG7</scope><scope>ZZAVC</scope><orcidid>https://orcid.org/0009-0008-1038-0410</orcidid><orcidid>https://orcid.org/0000-0002-9739-2930</orcidid><orcidid>https://orcid.org/0000-0002-1784-4619</orcidid></search><sort><creationdate>20240129</creationdate><title>Nodal phases in non-Hermitian wallpaper crystals</title><author>König, J. Lukas K. ; Herber, Felix ; Bergholtz, Emil J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c324t-1b988e4fa253c1309a305a93ae938aeeb3c007603e08122865aa39402ba4a7103</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Crystal lattices</topic><topic>fysik</topic><topic>lattice model</topic><topic>non-hermitian</topic><topic>photonic crystal</topic><topic>Photonic crystals</topic><topic>Physics</topic><topic>Symmetry</topic><topic>Wallpaper</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>König, J. Lukas K.</creatorcontrib><creatorcontrib>Herber, Felix</creatorcontrib><creatorcontrib>Bergholtz, Emil J.</creatorcontrib><collection>AIP Open Access Journals</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>SWEPUB Stockholms universitet full text</collection><collection>SwePub</collection><collection>SwePub Articles</collection><collection>SWEPUB Freely available online</collection><collection>SWEPUB Stockholms universitet</collection><collection>SwePub Articles full text</collection><jtitle>Applied physics letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>König, J. Lukas K.</au><au>Herber, Felix</au><au>Bergholtz, Emil J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nodal phases in non-Hermitian wallpaper crystals</atitle><jtitle>Applied physics letters</jtitle><date>2024-01-29</date><risdate>2024</risdate><volume>124</volume><issue>5</issue><issn>0003-6951</issn><issn>1077-3118</issn><eissn>1077-3118</eissn><coden>APPLAB</coden><abstract>Symmetry and non-Hermiticity play pivotal roles in photonic lattices. While symmetries, such as parity-time (
P
T) symmetry, have attracted ample attention, more intricate crystalline symmetries have been neglected in comparison. Here, we investigate the impact of the 17 wallpaper space groups of two-dimensional crystals on non-Hermitian band structures. We show that the non-trivial space group representations enforce degeneracies at high symmetry points and dictate their dispersion away from these points. In combination with either
T or
P
T, the symmorphic p4 mm symmetry and the non-symmorphic p2mg, p2gg, and p4gm symmetries protect exceptional chains intersecting at the pertinent high symmetry points.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0185359</doi><tpages>6</tpages><orcidid>https://orcid.org/0009-0008-1038-0410</orcidid><orcidid>https://orcid.org/0000-0002-9739-2930</orcidid><orcidid>https://orcid.org/0000-0002-1784-4619</orcidid><oa>free_for_read</oa></addata></record> |
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| source | AIP Journals Complete; SWEPUB Freely available online |
| subjects | Crystal lattices fysik lattice model non-hermitian photonic crystal Photonic crystals Physics Symmetry Wallpaper |
| title | Nodal phases in non-Hermitian wallpaper crystals |
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