标题： Majorana边缘零模对相互作用的稳定性 显示英文标题

标题： Stability of Majorana Edge Zero Modes against Interactions

摘要： 我们研究一个具有开放边界条件的相互作用马约拉纳链。 在没有相互作用的情况下，系统在基态区段上方具有能隙的典型马约拉纳边缘零模。 我们证明，马约拉纳边缘零模和非零能隙在针对费米子宇称偶数的通用弱相互作用下是稳定的。 我们还处理了相应的梯形系统，并讨论了马约拉纳边缘零模的$\mathbb{Z}_2$指数。 显示英文摘要

摘要： 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.