{"id":"https://openalex.org/W7214201854","doi":"https://doi.org/10.48550/arxiv.2609.28125","title":"Helical Anomaly from Concurrent $\\mathbb{Z}$ and $\\mathbb{Z}_2$ Topology in an Acoustic Semimetal","display_name":"Helical Anomaly from Concurrent $\\mathbb{Z}$ and $\\mathbb{Z}_2$ Topology in an Acoustic Semimetal","publication_year":2026,"publication_date":"2026-09-23","ids":{"openalex":"https://openalex.org/W7214201854","doi":"https://doi.org/10.48550/arxiv.2609.28125"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.28125","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28125","pdf_url":"https://arxiv.org/pdf/2609.28125","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.28125","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152767640","display_name":"Hou-Yin Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4391768004","display_name":"National Laboratory of Solid State Microstructures","ror":"https://ror.org/05ryc2b20","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391768004","https://openalex.org/I881766915"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Hou-Yin","raw_affiliation_strings":["National Laboratory of Solid State Microstructures & Department of Materials Science and Engineering , Nanjing University , Nanjing 210093 , China","School of physics , Nanjing University , Nanjing 210093 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Laboratory of Solid State Microstructures & Department of Materials Science and Engineering , Nanjing University , Nanjing 210093 , China","institution_ids":["https://openalex.org/I4391768004","https://openalex.org/I881766915"]},{"raw_affiliation_string":"School of physics , Nanjing University , Nanjing 210093 , China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059182189","display_name":"Hua\u2010Shan Lai","orcid":"https://orcid.org/0000-0002-9345-7901","observed_orcids":["https://orcid.org/0000-0002-9345-7901"]},"institutions":[{"id":"https://openalex.org/I4391768004","display_name":"National Laboratory of Solid State Microstructures","ror":"https://ror.org/05ryc2b20","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391768004","https://openalex.org/I881766915"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lai, Hua-Shan","raw_affiliation_strings":["National Laboratory of Solid State Microstructures & Department of Materials Science and Engineering , Nanjing University , Nanjing 210093 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Laboratory of Solid State Microstructures & Department of Materials Science and Engineering , Nanjing University , Nanjing 210093 , China","institution_ids":["https://openalex.org/I4391768004","https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5152689353","display_name":"Jian-Lan Xie","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4391768004","display_name":"National Laboratory of Solid State Microstructures","ror":"https://ror.org/05ryc2b20","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391768004","https://openalex.org/I881766915"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xie, Jian-Lan","raw_affiliation_strings":["National Laboratory of Solid State Microstructures & Department of Materials Science and Engineering , Nanjing University , Nanjing 210093 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Laboratory of Solid State Microstructures & Department of Materials Science and Engineering , Nanjing University , Nanjing 210093 , China","institution_ids":["https://openalex.org/I4391768004","https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5152655256","display_name":"Xiao-Chen Sun","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210140493","display_name":"Collaborative Innovation Center of Advanced Microstructures","ror":"https://ror.org/04ttadj76","country_code":"CN","type":"facility","lineage":["https://openalex.org/I126520041","https://openalex.org/I183067930","https://openalex.org/I19820366","https://openalex.org/I24943067","https://openalex.org/I2802624667","https://openalex.org/I4210140493","https://openalex.org/I76130692","https://openalex.org/I881766915"]},{"id":"https://openalex.org/I4391768004","display_name":"National Laboratory of Solid State Microstructures","ror":"https://ror.org/05ryc2b20","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391768004","https://openalex.org/I881766915"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sun, Xiao-Chen","raw_affiliation_strings":["Collaborative Innovation Center of Advanced Microstructures , Nanjing University , Nanjing 210093 , China","National Laboratory of Solid State Microstructures & Department of Materials Science and Engineering , Nanjing University , Nanjing 210093 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Collaborative Innovation Center of Advanced Microstructures , Nanjing University , Nanjing 210093 , China","institution_ids":["https://openalex.org/I4210140493","https://openalex.org/I881766915"]},{"raw_affiliation_string":"National Laboratory of Solid State Microstructures & Department of Materials Science and Engineering , Nanjing University , Nanjing 210093 , China","institution_ids":["https://openalex.org/I4391768004","https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5152663756","display_name":"Yan-Feng Chen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210140493","display_name":"Collaborative Innovation Center of Advanced Microstructures","ror":"https://ror.org/04ttadj76","country_code":"CN","type":"facility","lineage":["https://openalex.org/I126520041","https://openalex.org/I183067930","https://openalex.org/I19820366","https://openalex.org/I24943067","https://openalex.org/I2802624667","https://openalex.org/I4210140493","https://openalex.org/I76130692","https://openalex.org/I881766915"]},{"id":"https://openalex.org/I4391768004","display_name":"National Laboratory of Solid State Microstructures","ror":"https://ror.org/05ryc2b20","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391768004","https://openalex.org/I881766915"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen, Yan-Feng","raw_affiliation_strings":["Collaborative Innovation Center of Advanced Microstructures , Nanjing University , Nanjing 210093 , China","National Laboratory of Solid State Microstructures & Department of Materials Science and Engineering , Nanjing University , Nanjing 210093 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Collaborative Innovation Center of Advanced Microstructures , Nanjing University , Nanjing 210093 , China","institution_ids":["https://openalex.org/I4210140493","https://openalex.org/I881766915"]},{"raw_affiliation_string":"National Laboratory of Solid State Microstructures & Department of Materials Science and Engineering , Nanjing University , Nanjing 210093 , China","institution_ids":["https://openalex.org/I4391768004","https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5152769446","display_name":"Cheng He","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"He, Cheng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3102","display_name":"Acoustics and Ultrasonics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/z2-topological-invariant","display_name":"Z2 topological invariant","score":0.6899999976158142},{"id":"https://openalex.org/keywords/helical-edge-states","display_name":"helical edge states","score":0.8930000066757202},{"id":"https://openalex.org/keywords/pseudospin","display_name":"pseudospin","score":0.6840000152587891},{"id":"https://openalex.org/keywords/time-reversal-symmetry","display_name":"time-reversal symmetry","score":0.7519999742507935},{"id":"https://openalex.org/keywords/chiral-symmetry","display_name":"chiral symmetry","score":0.9629999995231628},{"id":"https://openalex.org/keywords/particle-hole-symmetry","display_name":"particle-hole symmetry","score":0.9760000109672546},{"id":"https://openalex.org/keywords/topological-transport","display_name":"topological transport","score":0.5630000233650208}],"concepts":[{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.7335000038146973},{"id":"https://openalex.org/C24057170","wikidata":"https://www.wikidata.org/wiki/Q2497305","display_name":"Gapless playback","level":2,"score":0.6047999858856201},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.578499972820282},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.573199987411499},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.557200014591217},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.542900025844574},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4505000114440918},{"id":"https://openalex.org/C128911142","wikidata":"https://www.wikidata.org/wiki/Q1488689","display_name":"Topological insulator","level":2,"score":0.39719998836517334},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C12997251","wikidata":"https://www.wikidata.org/wiki/Q567560","display_name":"Anomaly (physics)","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.27730000019073486},{"id":"https://openalex.org/C92542899","wikidata":"https://www.wikidata.org/wiki/Q7661340","display_name":"Symmetry protected topological order","level":4,"score":0.275299996137619},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.26759999990463257},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.2533999979496002}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.28125","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28125","pdf_url":"https://arxiv.org/pdf/2609.28125","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.28125","doi":"https://doi.org/10.48550/arxiv.2609.28125","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.28125","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.28125","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28125","pdf_url":"https://arxiv.org/pdf/2609.28125","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2238084467","display_name":null,"funder_award_id":"92463304","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3553775388","display_name":null,"funder_award_id":"92363001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5128122492","display_name":null,"funder_award_id":"BK 20233001","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G5818336671","display_name":null,"funder_award_id":"BK20233001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6282541687","display_name":null,"funder_award_id":"52027803","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8814391256","display_name":null,"funder_award_id":"92263207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214201854.pdf","grobid_xml":"https://content.openalex.org/works/W7214201854.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4403786533","https://openalex.org/W4226199020","https://openalex.org/W2701821400","https://openalex.org/W7131077526","https://openalex.org/W4367060832","https://openalex.org/W7214989940","https://openalex.org/W7116210886","https://openalex.org/W4406421615","https://openalex.org/W2797048639","https://openalex.org/W4396813579"],"abstract_inverted_index":{"Topological":[0],"classification":[1,43],"constitutes":[2],"a":[3,20,29,74,91,153,172,184,192],"cornerstone":[4],"of":[5,123,128,187],"modern":[6],"condensed-matter":[7],"physics.":[8],"Historically,":[9],"topological":[10,22,26,39,97,202],"systems":[11,162],"have":[12],"been":[13],"predominantly":[14],"characterized":[15],"by":[16,58,142,152],"invariants":[17,199],"confined":[18],"to":[19],"single":[21,75],"class,":[23],"such":[24,42,84],"as":[25,68,183],"insulators":[27],"with":[28,35,170],"$\\mathbb{Z}_2$":[30,88,154],"invariant":[31,146],"and":[32,53,87,120,132,147,190,197],"Weyl":[33],"semimetals":[34],"an":[36,143],"integer":[37,144],"($\\mathbb{Z}$)":[38],"charge.":[40],"While":[41],"frameworks":[44],"in":[45,50,90,176],"principle":[46],"permit":[47],"gapless":[48],"phases":[49],"which":[51],"bulk":[52,98,111,139,196],"boundary":[54,149,158,198],"degeneracies":[55,140,150],"are":[56],"protected":[57,141,151],"distinct":[59,106],"invariants,":[60,107],"this":[61],"regime":[62,194],"has":[63],"received":[64],"limited":[65],"focused":[66],"attention,":[67],"coordinating":[69],"the":[70,102],"requisite":[71],"symmetries":[72],"within":[73],"band":[76],"structure":[77],"is":[78],"highly":[79],"nontrivial.":[80],"Here,":[81],"we":[82],"realize":[83],"concurrent":[85,188],"$\\mathbb{Z}$":[86,145],"topology":[89,189],"two-dimensional":[92],"acoustic":[93],"semimetal,":[94],"revealing":[95],"pseudospin-selective":[96],"modes":[99],"arising":[100],"from":[101],"interplay":[103],"between":[104],"these":[105],"termed":[108],"helical":[109,164],"anomaly":[110],"states":[112,168],"(HABSs).":[113],"Our":[114,179],"lattice":[115],"design":[116],"exploits":[117],"layer,":[118],"sublattice,":[119],"gauge-staggered":[121],"degrees":[122],"freedom,":[124],"enabling":[125],"modular":[126],"control":[127],"effective":[129],"time-reversal,":[130],"chiral,":[131],"particle-hole":[133],"symmetries.":[134],"The":[135],"resulting":[136],"system":[137],"exhibits":[138],"Kramers-like":[148],"invariant,":[155],"forming":[156],"twisted":[157],"arcs.":[159],"Crucially,":[160],"finite-size":[161],"manifest":[163],"or":[165],"anti-helical":[166],"edge":[167],"coexisting":[169],"HABSs,":[171],"distinctive":[173],"signature":[174,186],"absent":[175],"single-invariant":[177],"topologies.":[178],"results":[180],"establish":[181],"HABSs":[182],"characteristic":[185],"demonstrate":[191],"new":[193],"where":[195],"jointly":[200],"govern":[201],"transport":[203],"beyond":[204],"conventional":[205],"single-class":[206],"frameworks.":[207]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-25T00:00:00"}