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arXiv 1907.04231cond-mat.mes-hallcond-mat.quant-gas
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介观环的合成维数与拓扑手征流

Synthetic dimensions and topological chiral currents in mesoscopic rings

Hannah M. Price, Tomoki Ozawa, Henning Schomerus

摘要:

最近引入的“合成维”概念允许在低维系统中实现高维拓扑现象。在这项工作中,我们研究的补充方面,合成尺寸提供了一个自然的路线,在介观混合器件的拓扑状态。我们证明了这一点的电流感应到一个封闭的一维Aharonov-Bohm环的相互作用与动态介观磁体。磁矩的量子化提供了一个合成维度,补充了环周围的电荷运动。我们提出了一个直接的映射,将组合环磁体系统到类的量子霍尔模型,并证明了拓扑特征,结合磁体的各向异性,可以导致明确的签名,在持续电流的单粒子基态。

英文摘要:

The recently-introduced concept of "synthetic dimensions" allows for the realization of higher-dimensional topological phenomena in lower-dimensional systems. In this work we study the complementary aspect that synthetic dimensions provide a natural route to topological states in mesoscopic hybrid devices. We demonstrate this for the current induced into a closed one-dimensional Aharonov-Bohm ring by the interaction with a dynamic mesoscopic magnet. The quantization of the magnetic moment provides a synthetic dimension that complements the charge motion around the ring. We present a direct mapping that places the combined ring-magnet system into the class of quantum Hall models, and demonstrate that topological features, combined with the magnet's anisotropy, can lead to clear signatures in the persistent current of the single-particle ground state.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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