Abstract
We investigate the higher-order topological laser in the two-dimensional(2D)coupled-cavity array.By adding stag-gered on-site gain and loss to the 2D Hermitian array with a trivial phase,the system will emerge degenerate topological corner modes,which are protected by bulk band gap.For such a non-Hermitian model,by adjusting the parameters of the system and introducing the pumping into the cavity at the corner,a single-mode lasing with topological protection emerges.Furthermore,single-mode lasing exists over a wide range of pumping strengths.No matter where the cavity is initially stimulated,after enough time evolution,all the cavities belonging to the topological corner mode can emit a stable laser.
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