Kibble-Zurek Behavior in the Boundary-obstructed Phase Transitions

• URL: http://arxiv.org/abs/2407.18256v1
• Date: Thu, 11 Jul 2024 07:39:41 GMT
• Title: Kibble-Zurek Behavior in the Boundary-obstructed Phase Transitions
• Authors: Menghua Deng, Zhoujian Sun, Fuxiang Li,
• Abstract summary: We study the nonadiabatic dynamics of a two-dimensional topological insulator when the system is slowly quenched across the boundary-obstructed phase transition. We find that the number of excitations produced after the quench exhibits power-law scaling behaviors with the quench rate.
• Score: 1.9171404264679484
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the nonadiabatic dynamics of a two-dimensional higher-order topological insulator when the system is slowly quenched across the boundary-obstructed phase transition, which is characterized by edge band gap closing. We find that the number of excitations produced after the quench exhibits power-law scaling behaviors with the quench rate. Boundary conditions can drastically modify the scaling behaviors: The scaling exponent is found to be $\alpha=1/2$ for hybridized and fully open boundary conditions, and $\alpha=2$ for periodic boundary condition. We argue that the exponent $\alpha=1/2$ cannot be explained by the Kibble-Zurek mechanism unless we adopt an effective dimension $d^{\rm eff}=1$ instead of the real dimension $d=2$. For comparison, we also investigate the slow quench dynamics across the bulk-obstructed phase transitions and a single multicritical point, which obeys the Kibble-Zurek mechanism with dimension $d=2$.

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