Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
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一维缓慢变化的不通约势中拓扑态和迁移率边缘的命运
DOI：
10.1103/physrevb.96.174207
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发表时间：
2017
影响因子：
3.7
通讯作者：
Guo Hao
中科院分区：
文献类型：
--
作者：
Liu Tong;Yan Hai Yang;Guo Hao
研究了一维p波超导体在慢变无公度势和迁移率边作用下的无序和超导配对之间的相互作用。随着无公度势的振幅增加，系统可以经历从拓扑相到拓扑平凡局域相的转变。有趣的是，我们发现当不相称势的强度低于临界阈值时，谱中存在四个迁移率边，并且在某个区域出现了一个新的拓扑非平凡局域相。我们揭示了这种依赖于能量的金属-绝缘体转变，通过应用几个数值诊断技术，包括逆参与比，状态密度和李雅普诺夫指数。现在，在超冷原子系统中，背景势和p波超流体的精确控制已经可以实现，我们相信这些新的迁移率边可以在实验上观察到。
We investigate the interplay between disorder and superconducting pairing for a one-dimensional $p$-wave superconductor subject to slowly varying incommensurate potentials with mobility edges. With amplitude increments of the incommensurate potentials, the system can undergo a transition from a topological phase to a topologically trivial localized phase. Interestingly, we find that there are four mobility edges in the spectrum when the strength of the incommensurate potential is below a critical threshold, and a novel topologically nontrivial localized phase emerges in a certain region. We reveal this energy-dependent metal-insulator transition by applying several numerical diagnostic techniques, including the inverse participation ratio, the density of states and the Lyapunov exponent. Nowadays, precise control of the background potential and the $p$-wave superfluid can be realized in the ultracold atomic systems, we believe that these novel mobility edges can be observed experimentally.