Kibble-Zurek Behavior in the Boundary-obstructed Phase Transitions
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| Format: | Preprint |
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2024
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| _version_ | 1866929437961879552 |
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| author | Deng, Menghua Sun, Zhoujian Li, Fuxiang |
| author_facet | Deng, Menghua Sun, Zhoujian Li, Fuxiang |
| contents | 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 $α=1/2$ for hybridized and fully open boundary conditions, and $α=2$ for periodic boundary condition. We argue that the exponent $α=1/2$ 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 $d=2$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_18256 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kibble-Zurek Behavior in the Boundary-obstructed Phase Transitions Deng, Menghua Sun, Zhoujian Li, Fuxiang Statistical Mechanics Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons Quantum Physics 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 $α=1/2$ for hybridized and fully open boundary conditions, and $α=2$ for periodic boundary condition. We argue that the exponent $α=1/2$ 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 $d=2$. |
| title | Kibble-Zurek Behavior in the Boundary-obstructed Phase Transitions |
| topic | Statistical Mechanics Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2407.18256 |