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arXiv 2006.05068cond-mat.mes-hallcond-mat.dis-nn
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通量交错晶格中的工程拓扑相变和Aharonov-Bohm囚禁

Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice

Amrita Mukherjee, Atanu Nandy, Shreekantha Sil, Arunava Chakrabarti

摘要:

一个紧密结合的网络菱形的单位细胞捕获交错的磁通量分布显示出拓扑相变下的控制变化的通量捕获在一个单元。一个简单的实空间抽取技术映射到一个等效的Su-Shrieffer-Heeger(SSH)模型的二进制磁通交错网络。在这种方式中,处理的子空间的全自由度,我们表明,拓扑相变可以启动通过调整施加的磁场,最终模拟工程的重叠积分的数值在范例SSH模型。因此,人们可以使用外部代理,而不是监测的内在性质的晶格控制的拓扑性质。从实验的角度来看,这是有利的。我们还提供了一个深入的描述和分析的拓扑保护的边缘状态,并讨论如何,通过调整从外部的通量可以提高空间范围的Aharonov-Bohm笼的单粒子状态的任何任意时期的交错。这一特性对研究量子信息的传输有重要意义。我们的结果是准确的。

英文摘要:

A tight binding network of diamond shaped unit cells trapping a staggered magnetic flux distribution is shown to exhibit a topological phase transition under a controlled variation of the flux trapped in a cell. A simple real space decimation technique maps a binary flux staggered network into an equivalent Su-Shrieffer-Heeger (SSH) model. In this way, dealing with a subspace of the full degrees of freedom, we show that a topological phase transition can be initiated by tuning the applied magnetic field that eventually simulates an engineering of the numerical values of the overlap integrals in the paradigmatic SSH model. Thus one can use an external agent, rather than monitoring the intrinsic property of a lattice to control the topological properties. This is advantageous from an experimental point of view. We also provide an in-depth description and analysis of the topologically protected edge states, and discuss how, by tuning the flux from outside one can enhance the spatial extent of the Aharonov-Bohm caging of single particle states for any arbitrary period of staggering. This feature can be useful for the study of transport of quantum information. Our results are exact.

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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