Conventional laser cavities require discontinuity of material property or disorder to localize a light field for feedback. Recently, an emerging class of materials, twisted van der Waals materials, have been explored for applications in electronics and photonics. Here we propose and develop magic-angle lasers, where the localization is realized in periodic twisted photonic graphene superlattices. We reveal that the confinement mechanism of magic-angle lasers does not rely on a full bandgap but on the mode coupling between two twisted layers of photonic graphene lattice. Without any fine-tuning in structure parameters, a simple twist can result in nanocavities with strong field confinement and a high quality factor. Furthermore, the emissions of magic-angle lasers allow direct imaging of the wavefunctions of magic-angle states. Our work provides a robust platform to construct high-quality nanocavities for nanolasers, nano light-emitting diodes, nonlinear optics and cavity quantum electrodynamics at the nanoscale.

传统的激光腔需要材料特性的不连续性或无序来定位光场以进行反馈。最近，一类新兴的材料，即扭曲范德华材料，已被探索用于电子和光子学中的应用。在这里，我们提出并开发了魔角激光器，其中局部化是在周期性扭曲的光子石墨烯超晶格中实现的。我们揭示了魔角激光器的限制机制不依赖于完整的带隙，而是依赖于两个扭曲的光子石墨烯晶格层之间的模式耦合。如果不对结构参数进行任何微调，简单的扭曲就可以产生具有强场限制和高质量因数的纳米腔。此外，魔角激光的发射允许对魔角状态的波函数进行直接成像。