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Here, we define \u201ctheoretically twistable materials\u201d as single- or multilayer structures that allow for the construction of simple continuum models of their moir\u00e9 structures. Our high-throughput algorithm systematically searches for theoretically twistable semimetals and insulators based on the Topological 2D Materials Database\n                    <jats:italic toggle=\"yes\"\/>\n                    (2D-TQCDB). By analyzing key electronic properties, we identify thousands of candidate materials, propose representative twistable materials, and provide examples of crystal growth and exfoliation for several of them. Our results provide a resource for future experimental and theoretical studies of moir\u00e9 systems.\n                  <\/jats:p>","DOI":"10.1126\/science.adu1550","type":"journal-article","created":{"date-parts":[[2026,9,24]],"date-time":"2026-09-24T18:00:41Z","timestamp":1790272841000},"update-policy":"https:\/\/doi.org\/10.34133\/aaas_crossmark","source":"Crossref","is-referenced-by-count":0,"title":["2D theoretically twistable material database"],"prefix":"10.1126","volume":"393","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1543-0284","authenticated-orcid":true,"given":"Yi","family":"Jiang","sequence":"first","affiliation":[{"name":"Donostia International Physics Center (DIPC), San Sebasti\u00e1n, Spain."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0226-0028","authenticated-orcid":true,"given":"Urko","family":"Petralanda","sequence":"additional","affiliation":[{"name":"Department of Physics, University of the Basque Country 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