论文标题
基塔夫链中的拓扑阶段，并具有空间分离的配对过程
Topological phase in Kitaev chain with spatially separated pairing processes
论文作者
论文摘要
成对创造和歼灭过程之间的动态平衡对基塔伊夫模型中的拓扑超导至关重要。在这里，我们研究了创建和歼灭项的空间分离的效果，即对配对的来源和排水。在这方面，自然要考虑一个非热的哈密顿量，它可能具有复杂的能量分支。但是，仅考虑Bardeen-Cooper-Schrieffer对（BC）样对兴奋时，这种子空间中的频谱是完全真实的。特别是，从配对波函数中提取的ZAK相进行了量化，因此能够表征不同阶段的不同阶段，而不论时间逆转对称性的破坏。对于开放链系统，研究了相应的主要晶格。我们发现，尽管有复杂的模式，但所有边缘模式的能量为零，并遵守散装的对应关系。这导致了实际和复杂水平的Kramerlike变性，作为拓扑非平凡阶段的标志。
The dynamic balance between pair creation and annihilation processes takes a crucial role to the topological superconductivity in Kitaev model. Here we study the effect of spatial separation of creation and annihilation terms, i.e., sources and drains of pair are arranged alternatively. In this regard, a non-Hermitian Hamiltonian is naturally considered, which may possess complex energy branches. However, when the Bardeen-Cooper-Schrieffer pair (BCS)-like pair excitation is only considered, the spectrum in such a subspace is fully real. In particular, the Zak phases extracted from the pair wave function are quantized and therefore able to characterize the different phases regardless of the breaking of time reversal symmetry. For open chain system, the corresponding Majorana lattice is investigated. We find that although there are complex modes, all the edge modes have zero energy and obey the bulk-boundary correspondence. This results in the Kramerlike degeneracy of both the real and complex levels as a signature of the topologically non-trivial phase.
