标题： 费波那契超导体中的约瑟夫森效应 显示英文标题

标题： The Josephson effect in Fibonacci superconductors

摘要： 我们理论研究了两个近邻的斐波那契准晶体之间的约瑟夫森效应。 在超导基底上，化学势的准周期调制会诱导出拓扑能隙和能量高于超导能隙的边缘态。 我们发现这些边缘态发展出超导关联，这显著影响约瑟夫森电流，我们将它们称为斐波那契-安德烈夫束缚态。 值得注意的是，这些边缘态的贡献可以通过斐波那契序列排列，即相位角来控制，并且在短结中可以主导约瑟夫森效应，超过传统的亚能隙安德烈夫束缚态。 准周期系统中约瑟夫森效应与非平凡边缘态之间的相互作用为探索准晶体中的奇异超导现象提供了新的机会。 显示英文摘要

摘要： We theoretically investigate the Josephson effect between two proximized Fibonacci quasicrystals. A quasiperiodic modulation of the chemical potential on a superconducting substrate induces topological gaps and edge modes with energies above the superconducting gap. We reveal that these edge modes develop superconducting correlations which significantly impact the Josephson current, and we term them Fibonacci-Andreev bound states. Notably, the contribution from these edge modes can be controlled by the Fibonacci sequence arrangement, known as phason angle, and can dominate the Josephson effect over the conventional subgap Andreev bound states in short junctions. The interplay between the Josephson effect and nontrivial edge modes in quasiperiodic systems presents new opportunities for exploring exotic superconducting phenomena in quasicrystals.