Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene

التفاصيل البيبلوغرافية
العنوان: Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene
المؤلفون: Zhang, Xinghai, Wilson, Justin H., Foster, Matthew S.
سنة النشر: 2024
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Superconductivity
الوصف: Moir\'e materials can exhibit electronic topological features yet are inherently quasiperiodic. Nonetheless, the localizing tendency of quasiperiodicity can be prevented by topology. We consider a quasiperiodic variant of the chiral Bistritzer-MacDonald model for twisted bilayer graphene with two incommensurate moir\'e potentials. We observe "filaments" linking magic angles with enhanced density of states and fractal wave functions that evade localization; states away from the filaments mimic fractal surface states of dirty topological superconductors. We demonstrate that topological quasiperiodicity can broadly enhance superconductivity without magic-angle fine-tuning.
Comment: 6 + 21 pages, 5 + 7 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.06676
رقم الأكسشن: edsarx.2406.06676
قاعدة البيانات: arXiv