{"id":859,"date":"2024-03-03T11:03:17","date_gmt":"2024-03-03T19:03:17","guid":{"rendered":"\/wp\/hades\/?p=859"},"modified":"2024-03-03T11:03:17","modified_gmt":"2024-03-03T19:03:17","slug":"semiclassical-analysis-of-twisted-tmds-exponentially-flat-and-trivial-bands","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2024\/03\/03\/semiclassical-analysis-of-twisted-tmds-exponentially-flat-and-trivial-bands\/","title":{"rendered":"Semiclassical analysis of twisted TMDs: exponentially flat and trivial bands"},"content":{"rendered":"\n\t\t\t\t\n<p> The HADES seminar on Tuesday, <strong>March 5th<\/strong>, will be at <strong>3:30pm<\/strong>\u00a0in\u00a0<strong>Room 939.<\/strong><\/p>\n\n\n\n<p><strong>Speaker: <\/strong><a href=\"https:\/\/sites.google.com\/view\/mxyang\">Mengxuan Yang<\/a><\/p>\n\n\n\n<p><strong>Abstract: <\/strong> Recent experiments discovered fractional Chern insulator states at zero magnetic field in twisted bilayer $\\text{MoTe}_2$ and $\\text{WSe}_2$, which are different types of twisted transition metal dichalcogenides (TMDs). In this talk, using Floquet theory, harmonic oscillators and construction of quasi-modes, I will present some simple mathematical results of band properties of TMDs when the twisting angles are small, including: absence of flat bands, trivial topology of lower bands and exponential flatness of lower bands. This is a joint work with Simon Becker. <\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, March 5th, will be at 3:30pm\u00a0in\u00a0Room 939. Speaker: Mengxuan Yang Abstract: Recent experiments discovered fractional Chern insulator states at zero magnetic field in twisted bilayer $\\text{MoTe}_2$ and $\\text{WSe}_2$, which are different types of twisted transition metal dichalcogenides (TMDs). In this talk, using Floquet theory, harmonic oscillators and construction of quasi-modes, [&hellip;]<\/p>\n","protected":false},"author":87,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-859","post","type-post","status-publish","format-standard","hentry","category-spring-2024"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/859","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\/87"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=859"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/859\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=859"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=859"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=859"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}