Topological superconductors in one-dimensional mosaic lattices
Topological superconductors in one-dimensional mosaic lattices
复制标题
一维镶嵌晶格中的拓扑超导体
DOI：
10.1209/0295-5075/ac1879
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发表时间：
2020-12
期刊：
影响因子：
1.8
通讯作者：
L. You
中科院分区：
文献类型：
--
作者：
Q.B. Zeng;Rong Lü;L. You
我们研究了一维镶嵌晶格中的拓扑超导体，其在位势被调制为等间距的位置。当系统拓扑非平凡时，Majorana零模出现在一维晶格的两端。通过计算系统的能谱和拓扑不变量，发现在位势的镶嵌调制的间隔，无论是周期的、准周期的还是随机分布的，都能显著影响系统的拓扑性质.对于镶嵌势的偶数个区间，当在位势很大甚至无限强时，系统将处于拓扑超导相。然而，当间隔为奇数时，除了在公度晶格中的一些特殊情况外，系统经历拓扑相变，并且随着在位势变得比临界值更强而进入平凡相。这些结论得到了证明，并利用传递矩阵法解析确定了相边界。他们揭示了1D马赛克晶格中可以出现鲁棒的马约拉纳零模，与空间调制势的强度无关。
We study topological superconductors in a one-dimensional (1D) mosaic lattice whose on-site potentials are modulated for equally spaced sites. When the system is topologically nontrivial, Majorana zero modes appear at the two ends of the 1D lattice. By calculating energy spectra and topological invariant of the system, we find the interval of the mosaic modulation of the on-site potential, whether it is periodic, quasiperiodic, or randomly distributed, can influence the topological properties significantly. For an even interval of the mosaic potential, the system will exist in the topological superconducting phase for very large or even infinitely strong on-site potentials. When the interval is odd, however, the system undergoes a topological phase transition and enters into the trivial phase as the on-site potentials become stronger than a critical value, except for some special cases in the commensurate lattices. These conclusions are proven and the phase boundaries determined analytically by exploiting the method of transfer matrix. They reveal that robust Majorana zero modes can arise in 1D mosaic lattice independent of the strength of the spatially modulated potentials.