二维Ammann-Beenker准晶中的无序诱导手征和螺旋Majorana边模
Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal
摘要：
近年来，准晶系统中拓扑相的无序效应的研究受到了广泛的关注。在这项工作中，通过数值计算的（自旋）Bott指数和热导，我们揭示了无序的影响，在一个二维Ammann-Beenker平铺准晶晶格中的D类手性拓扑超导体和DIII类时间反转不变的拓扑超导体。我们证明，无论是拓扑保护的手性和螺旋马约拉纳边缘模式是强大的对弱无序的准晶晶格。更吸引人的是发现无序诱导的拓扑非平凡的阶段，表现出手性和螺旋马约拉纳边缘模式的D类和DIII拓扑超导体系统，分别。我们的研究结果为准晶系统中无序诱导的Majorana边模的研究打开了大门。
英文摘要：
Recent research on disorder effects in topological phases in quasicrystalline systems has received much attention. In this work, by numerically computing the (spin) Bott index and the thermal conductance, we reveal the effects of disorder on a class D chiral topological superconductor and a class DIII time-reversal-invariant topological superconductor in a two-dimensional Ammann-Beenker tiling quasicrystalline lattice. We demonstrate that both the topologically protected chiral and helical Majorana edge modes are robust against weak disorder in the quasicrystalline lattice. More fascinating is the discovery of disorder-induced topologically nontrivial phases exhibiting chiral and helical Majorana edge modes in class D and DIII topological superconductor systems, respectively. Our findings open the door for the research on disorder-induced Majorana edge modes in quasicrystalline systems.
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