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arXiv 1409.6875hep-thcond-mat.str-el
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非均匀全息晶格的热电特性

The thermoelectric properties of inhomogeneous holographic lattices

Aristomenis Donos, Jerome P. Gauntlett

摘要:

我们考虑非均匀的,周期性的,全息晶格D=4爱因斯坦-麦克斯韦理论。我们表明,直流热电电导率矩阵可以解析地表示在相应的黑洞解的视界数据。我们数值构造了由一个、两个和十个波数组成的晶格的此类黑洞解。我们数值确定的AC电导率,揭示德鲁德物理以及与声音模式的共振。没有证据的中频scalingregime. All的单色晶格黑洞,我们已经构建的表现出标度行为在低温下,这是一致的外观$AdS_2\times\mathbb{R}^2$在远红外在T=0。

英文摘要:

We consider inhomogeneous, periodic, holographic lattices of D=4 Einstein-Maxwell theory. We show that the DC thermoelectric conductivity matrix can be expressed analytically in terms of the horizon data of the corresponding black hole solution. We numerically construct such black hole solutions for lattices consisting of one, two and ten wave-numbers. We numerically determine the AC electric conductivity which reveals Drude physics as well as resonances associated with sound modes. No evidence for an intermediate frequency scaling regime is found. All of the monochromatic lattice black holes that we have constructed exhibit scaling behaviour at low temperatures which is consistent with the appearance of $AdS_2\times\mathbb{R}^2$ in the far IR at T=0.

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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