晶格诱导标度的进一步证据
Further Evidence for Lattice-Induced Scaling
摘要:
我们继续我们的研究全息输运的存在下的背景晶格。我们最近发现的证据表明,在渐近$AdS_4$时空中,晶格的存在诱导了一个新的中间标度制度。这表现在光学电导率中,其在“中红外”区域中表现出对频率的稳健的幂律依赖性,$σ\sim ω^{-2/3}$,这一结果与铜酸盐的实验惊人地一致。在这里,我们提供了进一步的证据,这种中间标度制度的存在。我们证明了类似的标度的热电电导率,找到类似的标度在渐近$AdS_5$时空,并表明,我们得到了相同的结果与离子晶格。
英文摘要:
We continue our study of holographic transport in the presence of a background lattice. We recently found evidence that the presence of a lattice induces a new intermediate scaling regime in asymptotically $AdS_4$ spacetimes. This manifests itself in the optical conductivity which exhibits a robust power-law dependence on frequency, $σ\sim ω^{-2/3}$, in a "mid-infrared" regime, a result which is in striking agreement with experiments on the cuprates. Here we provide further evidence for the existence of this intermediate scaling regime. We demonstrate similar scaling in the thermoelectric conductivity, find analogous scalings in asymptotically $AdS_5$ spacetimes, and show that we get the same results with an ionic lattice.
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