论文标题
准分子诱导拓扑
Quasidisorder Induced Topology
论文作者
论文摘要
我们研究了准溶液和安德森障碍对具有施加外部磁场的二维拓扑超导体的影响。研究了$ p $ - 波超导体和非中心对称超导体，带有混合$ P $和$ S $ - 波配对和Rashba Spin-spin-Orbit耦合。我们表明，对于垂直磁场，准分子的引入导致新区域中拓扑阶段的出现，其特征在于Chern数的整数值。对于平行的磁场，我们识别出具有新的Majorana平面带外观和新的单向Majorana边缘状态的机制，这是Quasidisordor的引入。我们表明，Majoraana Flat乐队具有$π$的量化浆果阶段，并将其确定为拓扑不变。确定了两个拓扑转换，并获得了关键指数$ z $和$ν$的值。讨论了特征态的分形性质，即Anderson障碍和Aubry-André疾病。
We study the effects of quasidisorder and Anderson disorder on a two dimensional topological superconductor with an applied external magnetic field. The cases of a $p$-wave superconductor and a noncentrosymmetric superconductor with mixed $p$ and $s$-wave pairings and Rashba spin-orbit coupling are studied. We show that, for a perpendicular magnetic field, the introduction of quasidisorder leads to the appearance of topological phases in new regions, characterised by an integer value of the Chern number. For a parallel magnetic field, we identify regimes with the appearance of new Majorana flat bands and also new unidirectional Majorana edge states, as quasidisorder is introduced. We show that the Majorana flat bands have a quantized Berry phase of $π$ and identify it as a topological invariant. Two topological transitions are identified and the values of the critical exponents $z$ and $ν$ are obtained. The fractal nature of the eigenstates is discussed both for Anderson disorder and Aubry-André disorder.
