Pursuing topological phase and matter in a variety of systems is one central issue in current physical sciences and engineering. Motivated by the recent experimental observation of corner states in acoustic and photonic structures, we theoretically study the dipolar-coupled gyration motion of magnetic solitons on the two-dimensional breathing kagome lattice. We calculate the phase diagram and predict both the Tamm–Shockley edge modes and the second-order corner states when the ratio between alternate lattice constants is greater than a critical value. We show that the emerging corner states are topologically robust against both structure defects and moderate disorders. Micromagnetic simulations are implemented to verify the theoretical predictions with an excellent agreement. Our results pave the way for investigating higher-order topological insulators based on magnetic solitons.

在各种系统中追求拓扑阶段和物质是当前物理科学和工程学的中心问题之一。基于最近在声学和光子结构中对角状态进行实验性观察的结果，我们从理论上研究了磁孤子在二维呼吸kagome晶格上的偶极耦合旋转运动。当交替晶格常数之间的比率大于临界值时，我们计算相图并预测Tamm–Shockley边缘模式和二阶角状态。我们表明，新兴的拐角状态对结构缺陷和中度紊乱都具有拓扑上的鲁棒性。进行了微磁模拟，以极好的一致性验证了理论预测。