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Emergent collective modes in lattices give birth to many intriguing physicalphenomena in condensed matter physics. Among these collective modes, large-areamodes typically feature small level spacings, whilst a single mode tends to bespatially tightly confined. Here, we theoretically propose and experimentallydemonstrate a unique scale-invariant, large-area, and single-mode topologicalcavity mode in a two-dimensional photonic crystal. This mode emerges from thehybridization of the large-area fundamental Dirac mode and in-gap topologicalcorner modes. Remarkably, we find that the scale-invariant, large-area, andsingle-mode topological cavity mode possesses unique chiralities and with atunable mode area under the change of the mass term of the inner topologicalnontrivial lattice. We experimentally observe such topological cavity modes ina 2D photonic system and demonstrate the robustness by introducing disorders inthe cavity structure. Our findings have propelled the forefront of higher-ordertopology research, transitioning it from single-lattice systems tomulti-lattice systems and may support promising potential applications,particularly in vertical-cavity surface-emitting lasers.

A scale-invariant large-area single-mode topological photonic cavity