تقرير
Topological p-wave Superconductors with Disorder and Interactions
| العنوان: | Topological p-wave Superconductors with Disorder and Interactions |
|---|---|
| المؤلفون: | Del Pozo, Frederick, Herviou, Loïc, Dmytruk, Olesia, Hur, Karyn Le |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Superconductivity, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Strongly Correlated Electrons, Quantum Physics |
| الوصف: | We present a comprehensive theoretical study of interacting and disordered topological phases of coupled Kitaev wires, which may support further realistic applications of Majorana fermions. We develop a variety of analytical, mathematical and numerical methods for one and two-coupled wires, associated with a topological marker accessible from real-space correlation functions on the wire(s). We verify the stability of the topological superconducting phase and quantify disorder effects close to the quantum phase transitions, e.g. through two-point correlation functions or using a renormalization group (RG) analysis of disorder. We show for the first time that the double critical Ising (DCI) phase -- a fractional Majorana liquid characterized by a pair of half central charges and topological numbers -- is stabilized by strong interactions against disorder which respects the inversion symmetry between the wires (ie. parity conservation on each wire). % This phase may be equally realized with two quantum Ising spin chains coupled through a spin interaction along $z$ direction. In the presence of an inter-wire hopping term, the DCI phase turns into a protected topological phase with a bulk gap. We study the localization physics developing along the critical line for weaker interactions. Comment: 21 pages, 19 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.02105 |
| رقم الأكسشن: | edsarx.2408.02105 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |