{"id":1239,"date":"2025-02-02T11:42:28","date_gmt":"2025-02-02T19:42:28","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/hades\/?p=1239"},"modified":"2025-05-04T19:35:35","modified_gmt":"2025-05-05T02:35:35","slug":"mathematics-of-magic-angles-in-moire-materials","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2025\/02\/02\/mathematics-of-magic-angles-in-moire-materials\/","title":{"rendered":"What are flat bands in 2D structures?"},"content":{"rendered":"<p>The HADES seminar on Tuesday, <strong>February 4<\/strong><strong>th<\/strong>, will be at <strong>3<\/strong><strong>:00pm<\/strong>\u00a0in\u00a0<strong>Room 740 (UNUSUAL TIME).<\/strong><\/p>\n<p><strong>Speaker: <\/strong>Mengxuan Yang<\/p>\n<p><strong>Abstract: <\/strong>Magic angles are a hot topic in condensed matter physics: when two sheets of graphene are twisted by those angles, the resulting material is superconducting. In 2011, Bistritzer and MacDonald proposed a model that is experimentally very accurate in predicting magic angles. In this talk, I will introduce some recent mathematical progress on the Bistritzer&#8211;MacDonald Hamiltonian, including the generic existence of Dirac cones and the mathematical characterization of magic angles. I will also discuss topological aspects of this model, as well as some new mathematical discoveries in twisted multilayer graphene.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, February 4th, will be at 3:00pm\u00a0in\u00a0Room 740 (UNUSUAL TIME). Speaker: Mengxuan Yang Abstract: Magic angles are a hot topic in condensed matter physics: when two sheets of graphene are twisted by those angles, the resulting material is superconducting. In 2011, Bistritzer and MacDonald proposed a model that is experimentally very [&hellip;]<\/p>\n","protected":false},"author":92,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22,1],"tags":[],"class_list":["post-1239","post","type-post","status-publish","format-standard","hentry","category-spring-2025","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1239","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/users\/92"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=1239"}],"version-history":[{"count":3,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1239\/revisions"}],"predecessor-version":[{"id":1244,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1239\/revisions\/1244"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=1239"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=1239"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=1239"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}