We present a numerical study of exciton-polariton (polariton) condensation in a staggered polariton graphene showing a gapped $s$ band. The condensation occurs at the kinetically favorable negative mass extrema ($K$ and $K^{\prime }$ valleys) of the valence band. Considering attractive polariton-polariton interaction allows us to generate a spatially extended condensate. The symmetry breaking occurring during the condensate buildup leads to the formation of valley-polarized domains. This process can either be spontaneous, following the Kibble-Zurek scenario, or triggered, leading to a controlled spatial distribution of valley-polarized domains. The selection of a single valley breaks time-reversal symmetry, and the walls separating domains exhibit a reconfigurable topologically protected chiral current. This current emerges as a result of the interplay between the nontrivial valley topology and the condensation-induced symmetry breaking.

中文翻译：

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Polariton Graphene 中自发的对称性破缺引起的畴壁拓扑

我们提出了交错极化子石墨烯中激子-极化子（极化子）凝聚的数值研究，显示出间隙$s$乐队。冷凝发生在动力学有利的负质量极值处（$ķ$和${ķ}^{\text{'}}$谷）的价带。考虑有吸引力的极化子-极化子相互作用使我们能够产生空间扩展的凝聚物。在冷凝物积累过程中发生的对称性破坏导致谷极化域的形成。这个过程可以是自发的，遵循 Kibble-Zurek 场景，也可以是触发的，导致谷极化域的空间分布受控。单个谷的选择打破了时间反演对称性，并且分隔域的壁表现出可重构的拓扑保护手性电流。该电流是非平凡谷拓扑与冷凝引起的对称性破坏之间相互作用的结果。