标题： 一维Kitaev链中具有交错$p$-波超导配对的马约拉纳边缘模式 显示英文标题

标题： Majorana edge modes in one-dimensional Kitaev chain with staggered $p$-wave superconducting pairing

摘要： 我们引入了一种新的类型的一维Kitaev链，具有交错的$p$波超导配对。 通过调节$p$波配对和系统的化学势，我们在该模型中发现了三个物理区域。 在拓扑非平凡相中，有两个马约拉纳零模局域在晶格的两端，这些模式由非零拓扑不变量表征和保护。 更有趣的是，我们还发现了一个区域，在平凡相中系统可以保持四个未受保护的非零能边缘模式，这类似于弱拓扑相。 第三区域也是平凡的，但没有边缘模式。 系统中零能和非零能边缘模式的出现通过将晶格模型转化为由马约拉纳费米子组成的梯子来分析，在这里，腿内和腿间的耦合竞争导致了丰富的相图。 我们进一步研究了边缘模式在耗散影响下的性质，这通过在化学势中引入虚部来表示。 我们的工作揭示了由交错$p$波配对引起的奇异特性，并为马约拉纳边缘模式的进一步探索提供了一个新平台。 显示英文摘要

摘要： We introduce a new type of one-dimensional Kitaev chain with staggered $p$-wave superconducting pairing. We find three physical regimes in this model by tuning the $p$-wave pairing and the chemical potential of the system. In the topologically nontrivial phase, there are two Majorana zero modes localized at the opposite ends of the lattice, which are characterized and protected by nonzero topological invariants. More interestingly, we also find a regime where the system can hold four unprotected nonzero-energy edge modes in the trivial phase, which is analogous to a weak topological phase. The third regime is also trivial but holds no edge modes. The emergence of zero- and nonzero-energy edge modes in the system are analyzed by transforming the lattice model into a ladder consisting of Majorana fermions, where the competition between intra- and inter-leg couplings leads to the rich phase diagram. We further investigate the properties of edge modes under the influences of dissipation, which is represented by introducing a imaginary part in the chemical potential. Our work unveils the exotic properties induced by the staggered $p$-wave pairing and provides a new platform for further exploration of Majorana edge modes.