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arXiv 2212.04716cond-mat.mes-hall
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在现实样品中无法观察到拓扑法拉第效应

The topological Faraday effect cannot be observed in a realistic sample

Christian Berger, Florian Bayer, Laurens W. Molenkamp, Tobias Kiessling

摘要:

三维拓扑绝缘体(TI)的一个显著特征是理论上预期的拓扑磁电(TME)效应,其在电磁学的麦克斯韦定律中产生附加项,具有与精细结构常数$α$的半整数倍成比例的通用量子化系数。因此,在理想的情况下,人们也期望在TI的磁光响应中的量化贡献。我们审查这一前提,考虑到平凡的介电背景的TI散装和潜在的主机基板,以及经常出现的贡献巡回散装货船。我们表明,(i)一个得到一个非通用的磁光响应时,有不同的层之间的阻抗失配和(ii)由于TME的可检测信号迅速接近消失的小值作为阻抗失配失谐从零。我们证明,这是方法上不可能推导出的TME的存在完全从光学实验中的薄膜限制的三维TI在高磁场。

英文摘要:

A striking feature of 3 dimensional (3D) topological insulators (TIs) is the theoretically expected topological magneto-electric (TME) effect, which gives rise to additional terms in Maxwell's laws of electromagnetism with an universal quantized coefficient proportional to half-integer multiples of the fine structure constant $α$. In an ideal scenario one therefore expects also quantized contributions in the magneto-optical response of TIs. We review this premise by taking into account the trivial dielectric background of the TI bulk and potential host substrates, and the often present contribution of itinerant bulk carriers. We show that (i) one obtains a non-universal magneto-optical response whenever there is impedance mismatch between different layers and (ii) that the detectable signals due to the TME rapidly approach vanishingly small values as the impedance mismatch is detuned from zero. We demonstrate that it is methodologically impossible to deduce the existence of a TME exclusively from an optical experiment in the thin film limit of 3D TIs at high magnetic fields.

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