2+1维狄拉克系统中的耗散Callan-Harvey机制：畴壁上边缘态的归宿
Dissipative Callan-Harvey mechanism in 2+1 D Dirac system: The fate of edge states along a domain wall
AI总结：
该研究重新审视2+1维Dirac系统中的Callan-Harvey机制，分析外加电场下Chern绝缘体的反常流入与边缘耗散，发现2+1维玻色子浴中的新稳态及3+1维光子浴中的临界电场，并估算室温下体态与边缘态的光子介导跃迁速率。
摘要：
我们重新审视了2+1维Jackiw-Rebbi模型中的Callan-Harvey机制。我们分析了在外加电场作用下的大质量Chern绝缘体（量子反常霍尔系统）中的Callan-Harvey反常流入。除了由于宇称反常而从体态流向边缘的常规电流外，我们还考虑了由于与2+1维外部玻色子浴相互作用以及3+1维外部光子浴相互作用导致的边缘电荷耗散。在2+1维玻色子浴的情况下，我们发现了一个新的稳态，该稳态由Callan-Harvey电流与耗散过程引起的流出之间的平衡来定义。在3+1维光子浴的情况下，我们发现了一个临界电场，低于该电场可以实现这种平衡态，但高于该电场则不存在这种平衡。此外，我们估计了室温下2+1维体态与1+1维拓扑边缘态之间光子介导的跃迁速率约为1 ns$^{-1}$（纳秒$^{-1}$）量级。
英文摘要：
The Callan-Harvey mechanism in 2+1 D Jackiw-Rebbi model is revisited. We analyzed Callan-Harvey anomaly inflow in the massive Chern insulator (quantum anomalous Hall system) subject to external electric field. In addition to the conventional current flowing from the bulk to edge due to parity anomaly, we considered the dissipation of the edge charge due to interaction with external bosonic bath in 2+1 D and due to external bath of photons in 3+1 D. In the case of 2+1 D bosonic bath, we found the new stationary state, which is defined by the balance between Callan-Harvey current and the outgoing flow caused by the dissipation processes. In the case of 3+1 D photon bath, we found a critical electric field, below which this balance state can be achieved, but above which there is no such a balance. Furthermore, we estimated the photon-mediated transition rate between 2+1 D bulk and 1+1 D topological edge state of the order of one ns$^{-1}$ (nanosecond) at the room temperature.
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