论文标题
两粒子相互作用诱导的拓扑结合状态，非铁皮皮肤效应和扁平带
Topologically bound states, non-Hermitian skin effect and flat bands, induced by two-particle interaction
论文作者
论文摘要
我们在具有简单的周期性晶格和开放边界条件的一维紧密结合模型中研究了两个排斥无自旋颗粒的理论上量子状态。我们证明，当粒子不完全相同时，它们的相互作用驱动了非平凡相关的两个粒子状态，例如结合状态，边缘状态以及相互作用诱导的平坦带。具体而言，两个粒子的质量和相对运动以拓扑非平凡的方式耦合。借助非铁皮皮肤效应，质量中心的定位实现了结合状态的相对运动和形成的定位。
We study theoretically quantum states of two repelling spinless particles in a one-dimensional tight-binding model with simple periodic lattice and open boundary conditions. We demonstrate, that when the particles are not identical, their interaction drives nontrivial correlated two-particle states, such as bound states, edge states as well as interaction-induced flat bands. Specifically, the center-of-mass and relative motions of two particles become coupled in a topologically nontrivial way. By virtue of the non-Hermitian skin effect the localization of the center of mass enforces the localization of the relative motion and formation of the bound states.
