重费米子奇异金属的光学导电性是普朗克的吗?

Xinwei Li, J. Kono, Q. Si, S. Paschen
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引用次数: 2

摘要

奇怪的金属行为出现在各种凝聚态设置和超越,实现普遍的理解是一个令人兴奋的前景。近藤破坏的超朗道量子临界在描述奇异金属重费米子化合物的行为方面取得了相当大的成功,并且有一些证据表明,相关的部分局域-非局域性质可以推广到不同的材料类别。其他潜在的总体原则也在探索中。一个有趣的建议是,普朗克散射,速率为k B T/ h,导致(直流)电阻率的线性温度依赖,这是奇怪金属行为的标志。在这里,我们将先前介绍的基于直流电阻率的原始描述的分析方案扩展到光学电导率数据。当它们被简单的(ac) Drude模型很好地描述时,可以直接提取散射率。这避免了确定载流子浓度与有效质量之比的需要,这使以前基于直流电阻率的分析变得复杂。然而,我们指出,奇怪的金属通常表现出强烈的偏离德鲁德行为,例如“极端”奇怪的金属YbRh2Si2。这需要替代方法,我们指出了奇异金属动力学(能量-超温)标度分析对光学导电性非弹性部分的作用。如果这种标度扩展到低频极限,就可以估计出奇怪金属的弛豫率,并可能最终用于测试奇怪金属是否以普朗克方式弛豫。
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Is the optical conductivity of heavy fermion strange metals Planckian?
Strange metal behavior appears across a variety of condensed matter settings and beyond, and achieving a universal understanding is an exciting prospect. The beyond-Landau quantum criticality of Kondo destruction has had considerable success in describing the behavior of strange metal heavy fermion compounds, and there is some evidence that the associated partial localization-delocalization nature can be generalized to diverse materials classes. Other potential overarching principles at play are also being explored. An intriguing proposal is that Planckian scattering, with a rate of k B T/ℏ, leads to the linear temperature dependence of the (dc) electrical resistivity, which is a hallmark of strange metal behavior. Here we extend a previously introduced analysis scheme based on the Drude description of the dc resistivity to optical conductivity data. When they are well described by a simple (ac) Drude model, the scattering rate can be directly extracted. This avoids the need to determine the ratio of charge carrier concentration to effective mass, which has complicated previous analyses based on the dc resistivity. However, we point out that strange metals typically exhibit strong deviations from Drude behavior, as exemplified by the “extreme” strange metal YbRh2Si2. This calls for alternative approaches, and we point to the power of strange metal dynamical (energy-over-temperature) scaling analyses for the inelastic part of the optical conductivity. If such scaling extends to the low-frequency limit, a strange metal relaxation rate can be estimated, and may ultimately be used to test whether strange metals relax in a Planckian manner.
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