{"id":185,"date":"2014-06-08T07:39:13","date_gmt":"2014-06-08T05:39:13","guid":{"rendered":"http:\/\/phsites.technion.ac.il\/dtqm\/?p=185"},"modified":"2014-06-08T07:39:24","modified_gmt":"2014-06-08T05:39:24","slug":"maciej-koch-janusz-interacting-fractional-topological-insulators-via-z2-chiral-anomaly","status":"publish","type":"post","link":"https:\/\/phsites.technion.ac.il\/dtqm\/maciej-koch-janusz-interacting-fractional-topological-insulators-via-z2-chiral-anomaly\/","title":{"rendered":"Interacting and fractional topological insulators via the Z2 chiral anomaly"},"content":{"rendered":"

Maciej Koch-Janusz<\/h2>\n

Recently it was shown that the topological properties of\u00a0<\/span>2<\/span><\/span><\/span>D<\/i><\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a03<\/span><\/span><\/span>D<\/i><\/span><\/span><\/span><\/span><\/span>\u00a0topological insulators are captured by a\u00a0Z<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0chiral anomaly in the boundary field theory. It remained, however, unclear whether the anomaly survives electron-electron interactions. We show that this is indeed the case, thereby providing an alternative formalism for treating topological insulators in the interacting regime. We apply this formalism to fractional topological insulators (FTI) via projective\/parton constructions and use it to test the robustness of all fractional topological insulators which can be described in this way. The stability criterion we develop is easy to check and based on the pairswitching behaviour of the noninteracting partons. In particular, we find that FTIs based on bosonic Laughlin states and the\u00a0M<\/span><\/span><\/i><\/span>=<\/span><\/span><\/span>0<\/span><\/span>\u00a0bosonic Read-Rezayi states are fragile and may have a completely gapped and non-degenerate edge spectrum in each topological sector. In contrast, the\u00a0Z<\/span><\/span><\/span><\/i>k<\/span><\/span><\/span><\/i><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0Read-Rezayi states with\u00a0M<\/span><\/span><\/i><\/span>=<\/span><\/span><\/span>1<\/span><\/span>\u00a0and odd\u00a0k<\/span><\/span><\/i><\/span><\/span>\u00a0and the bosonic\u00a03<\/span><\/span><\/span>D<\/i><\/span><\/span><\/span><\/span><\/span>\u00a0topological insulator with a\u00a0\u03c0<\/span><\/span><\/i><\/span>\/<\/span><\/span><\/span><\/span>4<\/span><\/span><\/span>\u00a0fractional theta-term are topologically stable.<\/p>\n","protected":false},"excerpt":{"rendered":"

Maciej Koch-Janusz Recently it was shown that the topological properties of\u00a02D\u00a0and\u00a03D\u00a0topological insulators are captured by a\u00a0Z2\u00a0chiral anomaly in the boundary field theory. It remained, however, unclear whether the anomaly survives electron-electron interactions. We show that this is indeed the case, thereby providing an alternative formalism for treating topological insulators in the interacting regime. We apply …<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[1],"tags":[],"class_list":{"0":"post-185","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-uncategorized","7":"entry"},"yoast_head":"\nInteracting and fractional topological insulators via the Z2 chiral anomaly - Dynamics and Transport in Quantum Matter<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/phsites.technion.ac.il\/dtqm\/maciej-koch-janusz-interacting-fractional-topological-insulators-via-z2-chiral-anomaly\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Interacting and fractional topological insulators via the Z2 chiral anomaly - Dynamics and Transport in Quantum Matter\" \/>\n<meta property=\"og:description\" content=\"Maciej Koch-Janusz Recently it was shown that the topological properties of\u00a02D\u00a0and\u00a03D\u00a0topological insulators are captured by a\u00a0Z2\u00a0chiral anomaly in the boundary field theory. It remained, however, unclear whether the anomaly survives electron-electron interactions. We show that this is indeed the case, thereby providing an alternative formalism for treating topological insulators in the interacting regime. 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