The interplay between interparticle interactions and topological features may result in unusual phenomena. Interestingly, interactions may induce topological features in an originally trivial system, as we illustrate for the case of a one-dimensional two-component Hubbard model in which one component is subjected to Su-Schrieffer-Heeger dimerization, whereas the other one is not. We show that due to intercomponent interactions the topological properties of one component are induced in the originally trivial one. Although for large interactions topological inheritance may be readily explained by on-site pairing, we show that the threshold for full inheritance occurs at weak interactions, for which the components are not yet paired. We illustrate this inheritance by discussing both bulk and edge properties, as well as dynamical observables as mean chiral displacement and charge pumping.

中文翻译：

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具有单组分 Su-Schrieffer-Heeger 二聚化的双组分 Hubbard 模型中的拓扑继承

粒子间相互作用和拓扑特征之间的相互作用可能会导致异常现象。有趣的是，相互作用可能会在原本微不足道的系统中引起拓扑特征，正如我们针对一维二维哈伯德模型所说明的那样，其中一个组件受到 Su-Schrieffer-Heeger 二聚化，而另一个则没有。我们表明，由于组件间的相互作用，一个组件的拓扑特性在最初微不足道的组件中被引入。尽管对于大型交互拓扑继承可以通过现场配对很容易地解释，但我们表明完全继承的阈值发生在弱交互中，其中组件尚未配对。我们通过讨论体积和边缘属性来说明这种继承，