准周期晶格调制量子线/超导体系统中的重入拓扑跃迁
Reentrant topological transitions in a quantum wire/superconductor system with quasiperiodic lattice modulation
摘要：
研究了在磁场作用下，对具有强自旋-轨道相互作用的一维量子线施加准周期晶格调制，在超导体附近出现具有末端Majorana费米子的拓扑超导相的条件.通过密度矩阵重整化群分析，我们发现在填充因子的有限范围内实现了具有Majorana端模的多个拓扑相，并随着化学势的变化呈现出一系列的重入跃迁.这些相位的位置反映了非相互作用情况下的能带结构，表现出明显的自相似结构。本文还讨论了在现场相互作用或谐波陷阱势的存在下TS的稳定性。
英文摘要：
We study the condition for a topological superconductor (TS) phase with end Majorana fermions to appear when a quasiperiodic lattice modulation is applied to a one-dimensional quantum wire with strong spin-orbit interaction situated under a magnetic field and in proximity to a superconductor. By density-matrix renormalization group analysis, we find that multiple topological phases with Majorana end modes are realized in finite ranges of the filling factor, showing a sequence of reentrant transitions as the chemical potential is tuned. The locations of these phases reflect the structure of bands in the non-interacting case, which exhibits a distinct self-similar structure. The stability of the TS in the presence of an on-site interaction or a harmonic trap potential is also discussed.
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