Approximate strange metallic behavior in AdS
Approximate strange metallic behavior in AdS
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发表时间：
2012-02
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通讯作者：
S. Pal
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作者：
S. Pal
我们显示为单位的动力学指数，$z=1$，费米液体和非费米液体行为的外观，因为我们调整的电荷密度和磁场在3+1维场论使用规范重力对偶。电阻率只在沿着垂直于磁场的方向上存在一个上弯现象。此外，在参数空间的特定角落，即在大电荷密度和小磁场极限下，存在与时空维数无关的电阻率的普遍行为：纵向电导率为T^{-2/z}$，而霍尔电导率为T^{-4/z}$。这意味着霍尔系数为$T^{4/z}$。我们从电导率的流动方程计算扩散常数。
We show for unit dynamical exponent, $z=1$, the appearance of the Fermi liquid and non-Fermi liquid behavior as we tune the charge density and the magnetic field in 3+1 dimensional field theory using the gauge-gravity duality. There exists an upturn behavior of the resistivity only along the direction perpendicular to the magnetic field. Also, there exists a universal behavior of the resistivity, independent of the dimensionality of the spacetime, in a specific corner of the parameter space, namely, in the large charge density and small magnetic field limit: the longitudinal conductivity goes as $T^{-2/z}$, whereas the Hall conductivity goes as $T^{-4/z}$. It means the Hall coefficient goes as $T^{4/z}$. We compute the diffusion constant from the flow equation of the conductivity.