标题： 与哈伯德相互作用下Rice-Mele链中的准粒子边缘态演化 显示英文标题

标题： Evolution of quasiparticle edge states with Hubbard interaction in Rice-Mele chain

摘要： 我们使用密度矩阵重整化群、精确对角化和Kumar表示中的有效电荷动力学研究了在半填充情况下带有Hubbard相互作用U的Rice-Mele模型中边缘态的行为。 对于固定的二聚化$\delta$和阶梯势V，我们发现随着U的增加，电荷间隙中的准粒子边缘态的能量从没有Hubbard相互作用时的V下降到U$\approx$2V时的零能量。 这呈现了一个不寻常的情况，即排斥力导致零能量的边缘态。 当进一步增加U时，边缘态能量再次开始增加，直到它们消失在体态中。 然而，当进一步增加U时，这些边缘态会在高能隙中重新出现。 因此，在Hubbard相互作用下，Rice-Mele链中的边缘态从物理电荷间隙迁移到高能隙。 显示英文摘要

摘要： We study the behaviour of edge states in Rice-Mele model with Hubbard interaction, U , at half-filling using density matrix renormalization group, exact diagonalization and effective charge dynamics in Kumar representation. For a fixed dimerization, $\delta$, and staggered potential, V , we find by increasing U the quasiparticle edge states in the charge gap to come down in energy from V in the absence of Hubbard interaction to zero energy for U $\approx$ 2V . This presents an uncommon case where repulsion leads to zero-energy edge states. Upon increasing U further, the edge state energy starts increasing again until they are lost in the bulk. However, upon increasing U even further, these edge states reappear in the high energy gap. So, with Hubbard interaction, the edge states in Rice-Mele chain transmigrate from the physical charge gap to a high energy gap.