论文标题
Majorana零模式的命运，关键状态和非固定型晶格中的非规定实体复制过渡
Fate of Majorana zero modes, critical states and non-conventional real-complex transition in non-Hermitian quasiperiodic lattices
论文作者
论文摘要
我们研究一维$ p $ - 波超导体，但受非甲状化的准潜能。尽管存在非热性，但MajoraNA零模式仍然对疾病扰动仍然很强。通过计算能量差距截止点和拓扑不变性来验证分析拓扑相边界。此外，我们研究了该模型的局部特性，表明拓扑相变为Anderson定位期跃迁，并且较广泛的临界阶段以非富甲层准碘电位的幅度增量出现。最后，我们从数值上揭示了能量谱的非惯性实时复合过渡，该过渡与常规$ \ Mathcal {pt} $对称过渡不同。
We study a one-dimensional $p$-wave superconductor subject to non-Hermitian quasiperiodic potentials. Although the existence of the non-Hermiticity, the Majorana zero mode is still robust against the disorder perturbation. The analytic topological phase boundary is verified by calculating the energy gap closing point and the topological invariant. Furthermore, we investigate the localized properties of this model, revealing that the topological phase transition is accompanied with the Anderson localization phase transition, and a wide critical phase emerges with amplitude increments of the non-Hermitian quasiperiodic potentials. Finally, we numerically uncover a non-conventional real-complex transition of the energy spectrum, which is different from the conventional $\mathcal{PT}$ symmetric transition.
