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arXiv 2302.01494cond-mat.mes-hall
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电路网络中有效强相互作用诱导的平带局域化和拓扑边缘态的观测

Observation of flat-band localization and topological edge states induced by effective strong interactions in electrical circuit networks

Xiaoqi Zhou, Weixuan Zhang, Houjun Sun, Xiangdong Zhang

摘要:

非相互作用系统中的平带拓扑和局域化在不同的量子和经典波系统中得到了广泛的研究。近年来,对相互作用系统中平带局域化和拓扑结构等新物理的探索引起了人们极大的兴趣。特别地,理论上证明了强相互作用可以驱动非平凡拓扑平坦带的形成,甚至色散平凡带也可以主导单粒子对应物。然而,这些有趣现象的实验观察仍然缺乏。在这里,我们实验模拟相互作用引起的平带局域化和拓扑边缘状态的电路网络。我们将一维Aharonov Bohm笼中的两个关联玻色子的本征态直接映射到二维电路晶格的模上,通过测量频变阻抗响应和时域电压动态来检测两玻色子的平带和拓扑边缘态.我们的发现提供了一个灵活的平台来模拟相互作用诱导的平带拓扑结构,并可能在设计新型电子器件中具有潜在的应用。

英文摘要:

Flat-band topologies and localizations in non-interacting systems are extensively studied in different quantum and classical-wave systems. Recently, the exploration on the novel physics of flat-band localizations and topologies in interacting systems has aroused great interest. In particular, it is theoretically shown that the strong-interaction could drive the formation of nontrivial topological flat bands, even dispersive trivial bands dominate the single-particle counterparts. However, the experimental observation of those interesting phenomena is still lacking. Here, we experimentally simulate the interaction-induced flat-band localizations and topological edge states in electrical circuit networks. We directly map the eigenstates of two correlated bosons in one-dimensional Aharonov Bohm cages to modes of two-dimensional circuit lattices.In this case, the two-boson flat-bands and topological edge states are detected by measuring frequency-dependent impedance responses and voltage dynamics in the time domain. Our finding suggests a flexible platform to simulate the interaction-induced flat-band topology, and may possess potential applications in designing novel electronic devices.

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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