Topological Superconductor to Anderson Localization Transition in One-Dimensional Incommensurate Lattices
Topological Superconductor to Anderson Localization Transition in One-Dimensional Incommensurate Lattices
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一维不通约晶格中的拓扑超导体到安德森局域化转变
DOI：
10.1103/physrevlett.110.176403
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发表时间：
2013-04-26
影响因子：
8.6
通讯作者：
Wang, Yupeng
中科院分区：
文献类型：
--
作者：
Cai, Xiaoming;Lang, Li-Jun;Wang, Yupeng
我们研究一维 p 波超导体在不相称势下无序和超导性的竞争。随着不可通约势强度的增加，系统经历从拓扑超导相到拓扑平凡局域相的转变。相边界是从各个方面通过数值和分析确定的，拓扑超导相的特征是在开放边界条件的系统中存在马约拉纳边缘费米子。我们还计算了体系统的拓扑 Z(2) 不变量，发现即使对于无序系统，它也可以用来区分不同的拓扑相。 DOI：10.1103/PhysRevLett.110.176403
We study the competition of disorder and superconductivity for a one-dimensional p-wave superconductor in incommensurate potentials. With the increase in the strength of the incommensurate potential, the system undergoes a transition from a topological superconducting phase to a topologically trivial localized phase. The phase boundary is determined both numerically and analytically from various aspects and the topological superconducting phase is characterized by the presence of Majorana edge fermions in the system with open boundary conditions. We also calculate the topological Z(2) invariant of the bulk system and find it can be used to distinguish the different topological phases even for a disordered system. DOI: 10.1103/PhysRevLett.110.176403