{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/strong-and-fragile-topological-dirac","title":"Strong and Fragile Topological Dirac Semimetals with Higher-Order Fermi Arcs","arxiv_id":"1908.00016","date":"2019-07-31","proceeding":null,"authors":["Benjamin J. Wieder","Zhijun Wang","Jennifer Cano","Xi Dai","Leslie M. Schoop","Barry Bradlyn","B. Andrei Bernevig"],"abstract":"Dirac and Weyl semimetals both exhibit arc-like surface states. However, whereas the surface Fermi arcs in Weyl semimetals are topological consequences of the Weyl points themselves, the surface Fermi arcs in Dirac semimetals are not directly related to the bulk Dirac points, raising the question of whether there exists a topological bulk-boundary correspondence for Dirac semimetals. In this work, we discover that strong and fragile topological Dirac semimetals exhibit 1D higher-order hinge Fermi arcs (HOFAs) as universal, direct consequences of their bulk 3D Dirac points. To predict HOFAs coexisting with topological surface states in solid-state Dirac semimetals, we introduce and layer a spinful model of an $s-d$-hybridized quadrupole insulator (QI). We develop a rigorous nested Jackiw-Rebbi formulation of QIs and HOFA states. Employing $ab\\ initio$ calculations, we demonstrate HOFAs in both the room- ($\\alpha$) and intermediate-temperature ($\\alpha''$) phases of Cd$_{3}$As$_2$, KMgBi, and rutile-structure ($\\beta'$-) PtO$_2$.","url_abs":"https://arxiv.org/abs/1908.00016v3","url_pdf":"https://arxiv.org/pdf/1908.00016v3.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"strong-and-fragile-topological-dirac","repo_url":"https://github.com/kuansenlin/nested_and_spin_resolved_wilson_loop","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}