论文标题

在现实样本中无法观察到拓扑法拉第效应

The topological Faraday effect cannot be observed in a realistic sample

论文作者

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

论文摘要

3维(3D)拓扑绝缘子(TIS)的引人注目的特征是理论上预期的拓扑磁电磁电(TME)效应,它在麦克斯韦的电磁法定律中带来了其他术语,具有通用的电磁量化,其系数适时量化了与上半数结构的倍数$α$α$ a $ a $相对的系数。因此,在理想的情况下,人们期望在TIS的磁光响应中量化贡献。我们通过考虑TI散装和潜在寄主底物的微不足道的介电背景以及巡回批量承运人的贡献,从而审查了这一前提。我们表明,(i)每当不同层之间的阻抗不匹配和(ii)(ii),由于TME迅速接近的可检测信号消失了,因为阻抗不匹配从零开始。我们证明,在高磁场处的3D TIS的薄膜极限中,仅从光学实验中推断出TME的存在是理性上不可能的。

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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