Motivated by the Kibble-Zurek mechanism and the Gubser's argument for the charged scalar hairs near the black hole horizon in a spacetime with negative cosmological constant, we realize the kink hairs in a planar Schwarzschild-AdS black hole. By increasing the chemical potential across the critical point of the dual boundary field theory, the former $Z_2$ symmetry of the real scalar fields spontaneously break and form kinks in the bulk. Correspondingly, in the AdS boundary it resembles the kinks in a one-dimensional chain. The relation between the kink numbers and the quench rate obeys a universal scaling law which satisfies the Kibble-Zurek's prediction.

中文翻译：

---

奇偶对称性破坏和扭结毛状黑洞

受 Kibble-Zurek 机制和 Gubser 关于负宇宙常数时空中黑洞视界附近带电标量毛的论证的启发，我们实现了平面 Schwarzschild-AdS 黑洞中的扭结毛。通过增加跨双边界场理论临界点的化学势，实标量场的前 $Z_2$ 对称性自发地破坏并在本体中形成扭结。相应地，在 AdS 边界中，它类似于一维链中的扭结。扭结数和淬灭率之间的关系遵循满足 Kibble-Zurek 预测的通用比例定律。