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arXiv 1309.4580hep-thgr-qc
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Einstein-Maxwell-Dilaton引力中的全息晶格

Holographic Lattice in Einstein-Maxwell-Dilaton Gravity

Yi Ling, Chao Niu, Jian-Pin Wu, Zhuo-Yu Xian

摘要:

在四维时空中,我们在爱因斯坦-麦克斯韦-爱因斯坦理论的框架下构造了一个离子晶格背景。本文研究了双场论在边界上的光电导率。由于晶格效应,我们发现电导率的虚部在零频率极限下被明显抑制,而DC电导率接近有限值,使得先前反映平移对称性的δ函数不存在。这种行为在低频下完全符合Drude定律。此外,我们还发现,在中频区域,电导率的模量呈现幂律行为。我们的结果进一步支持了Horowitz、Santos和Tong在Einstein-Maxwell理论中揭示的这种幂律行为的普遍性。

英文摘要:

We construct an ionic lattice background in the framework of Einstein-Maxwell-dilaton theory in four dimensional space time. The optical conductivity of the dual field theory on the boundary is investigated. Due to the lattice effects, we find the imaginary part of the conductivity is manifestly suppressed in the zero frequency limit, while the DC conductivity approaches a finite value such that the previous delta function reflecting the translation symmetry is absent. Such a behavior can be exactly fit by the Drude law at low frequency. Moreover, we find that the modulus of the optical conductivity exhibits a power-law behavior at intermediate frequency regime. Our results provides further support for the universality of such power-law behavior recently disclosed in Einstein-Maxwell theory by Horowitz, Santos and Tong.

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