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arXiv 1102.3820hep-thgr-qc
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有限温度下带电双光子黑膜的全息照相

Holography of charged dilatonic black branes at finite temperature

Mariano Cadoni, Paolo Pani

摘要:

研究了四维反德西特爱因斯坦-麦克斯韦-爱因斯坦引力(EMDG)有限温度黑膜解的体特征和全息特征。我们构造,数值,黑膜赋予非平凡的标量头发广泛类EMDG。我们认为指数和幂律形式的耦合函数,以及几个电荷配置:纯电,纯磁和dyonic解决方案。在有限的温度下,这些黑膜解决方案的全息对偶场论有一个丰富而有趣的现象,让人想起金属中的电子运动:相变引发的非零VEV标量运营商,非单调行为的电导率的函数的频率和温度,霍尔效应和尖锐的同步共振的电导率在存在的磁场。相反,在零温度极限下,这些模型的电导率表现出普遍的行为。光学电导率具有作为频率的函数的幂律行为,而DC电导率在小温度下被抑制。

英文摘要:

We investigate bulk and holographic features of finite-temperature black brane solutions of 4D anti-de Sitter Einstein-Maxwell-dilaton-gravity (EMDG). We construct, numerically, black branes endowed with non trivial scalar hairs for broad classes of EMDG. We consider both exponential and power-law forms for the coupling functions, as well as several charge configurations: purely electric, purely magnetic and dyonic solutions. At finite temperature the field theory holographically dual to these black brane solutions has a rich and interesting phenomenology reminiscent of electron motion in metals: phase transitions triggered by nonvanishing VEV of scalar operators, non-monotonic behavior of the electric conductivities as function of the frequency and of the temperature, Hall effect and sharp synchrotron resonances of the conductivity in presence of a magnetic field. Conversely, in the zero temperature limit the conductivities for these models show a universal behavior. The optical conductivity has a power-law behavior as a function of the frequency, whereas the DC conductivity is suppressed at small temperatures.

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