Topological superconductivity in Fibonacci quasicrystals

التفاصيل البيبلوغرافية
العنوان: Topological superconductivity in Fibonacci quasicrystals
المؤلفون: Kobiałka, Aksel, Awoga, Oladunjoye A., Leijnse, Martin, Domański, Tadeusz, Holmvall, Patric, Black-Schaffer, Annica M.
سنة النشر: 2024
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Superconductivity
الوصف: We investigate the properties of a Fibonacci quasicrystal (QC) arrangement of a one-dimensional topological superconductor, such as a magnetic atom chain deposited on a superconducting surface. We uncover a general mutually exclusive competition between the QC properties and the topological superconducting phase with Majorana bound states (MBS): there are no MBS inside the QC gaps and the MBS never behaves as QC subgap states, and likewise, no critical, or winding, QC subgap states exist inside the topological superconducting gaps. Surprisingly, despite this competition, we find that the QC is still highly beneficial for realizing topological superconductivity with MBS. It both leads to additional large nontrivial regions with MBS in parameter space, that are topologically trivial in crystalline systems, and increases the topological gap protecting the MBS. We also find that shorter approximants of the Fibonacci QC display the largest benefits. As a consequence, our results promote QCs, and especially their short approximants, as an appealing platform for improved experimental possibilities to realize MBS as well as generally highlights the fundamental interplay between different topologies.
Comment: 20 pages, 11 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.12178
رقم الأكسشن: edsarx.2405.12178
قاعدة البيانات: arXiv