The thermoelectric properties of inhomogeneous holographic lattices
The thermoelectric properties of inhomogeneous holographic lattices
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DOI：
10.1007/jhep01(2015)035
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发表时间：
2014-09
影响因子：
5.4
通讯作者：
Aristomenis Donos;J. Gauntlett
中科院分区：
文献类型：
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作者：
Aristomenis Donos;J. Gauntlett
我们考虑 D= 4 爱因斯坦-麦克斯韦理论的非齐次、周期性、全息晶格。我们证明，直流热电导率矩阵可以用相应黑洞解的视界数据来解析表达。我们对由一波数、二波数和十波数组成的晶格进行数值构造这样的黑洞解。我们用数字确定了交流电导率，这揭示了德鲁德物理学以及与声音模式相关的共振。没有发现中频缩放机制的证据。我们构建的所有单色晶格黑洞在低温下都表现出缩放行为，这与 T= 0 时远红外的表现一致。
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 ofin the far IR at T= 0.