Quasiperiodic Quadrupole Insulators

التفاصيل البيبلوغرافية
العنوان: Quasiperiodic Quadrupole Insulators
المؤلفون: Liquito, Raul, Gonçalves, Miguel, Castro, Eduardo V.
سنة النشر: 2024
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Disordered Systems and Neural Networks
الوصف: Higher-order topological insulators are an intriguing new family of topological states that host lower-dimensional boundary states. Concurrently, quasiperiodic systems have garnered significant interest due to their complex localization and topological properties. In this work we study the impact of quasiperiodic modulations on the paradigmatic Benalcazar-Bernevig-Hughes model, which hosts topological insulating phases with zero-energy corner modes. We find that the topological properties are not only robust to the quasiperiodic modulation, but can even be enriched. In particular, we unveil the first instance of a quasiperiodic induced second-order topological insulating phase. Furthermore, in contrast with disorder, we find that quasiperiodic modulations can induce multiple reentrant topological transitions, showing an intricate sequence of localization properties. Our results open a promising avenue for exploring the rich interplay between higher-order topology and quasiperiodicity.
Comment: 12 pages, 14 figures, typos corrected, references added
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.17602
رقم الأكسشن: edsarx.2406.17602
قاعدة البيانات: arXiv