Using continuum based simulations we show that a rich variety of skyrmion liquid crystal states can be realized in the presence of a periodic obstacle array. As a function of the number of skyrmions per obstacle we find hexagonal, square, dimer, trimer and quadrimer ordering, where the n-mer structures are a realization of a molecular crystal state of skyrmions. As a function of external field and obstacle radius we show that there are transitions between the different crystalline states as well as mixed and disordered structures. We discuss how these states are related to commensurate effects seen in other systems, such as vortices in type-II superconductors and colloids interacting with two dimensional substrates.

中文翻译：

---

通过捕获在方形晶格中的液晶天窗离子实现相称的状态和图案切换

使用基于连续体的模拟，我们表明，在存在周期性障碍物阵列的情况下，可以实现多种天体离子液晶状态。根据每个障碍物的天窗离子数量的函数，我们发现六边形，正方形，二聚体，三聚体和四面体顺序，其中n- mer结构是天窗离子的分子晶体状态的实现。作为外场和障碍半径的函数，我们表明在不同的晶态以及混合和无序的结构之间存在过渡。我们讨论了这些状态如何与在其他系统中看到的相应效应相关，例如II型超导体中的涡旋以及与二维基质相互作用的胶体。