论文标题
Majorana边缘零模式与相互作用的稳定性
Stability of Majorana Edge Zero Modes against Interactions
论文作者
论文摘要
我们研究具有开放边界条件的相互作用的主要链。在没有相互作用的情况下，系统在基态扇区中显示了典型的Majorana边缘零模式，其光谱间隙高于该扇区。我们证明，对于怪异奇偶校验均匀的通用弱相互作用，Majorana边缘零模式和非变化光谱差距都是稳定的。我们还处理相应的梯子系统，并讨论Majorana边缘零模式的$ \ Mathbb {Z} _2 $索引。
We study an interacting Majorana chain with an open boundary condition. In the case without interactions, the system shows a prototypical Majorana edge zero mode in the sector of the ground state with a spectral gap above the sector. We prove that both of the Majorana edge zero mode and the non-vanishing spectral gap are stable against generic weak interactions whose fermion parity is even. We also deal with the corresponding ladder systems, and discuss the $\mathbb{Z}_2$ index for the Majorana edge zero modes.
