AdS中近似奇异金属行为
Approximate strange metallic behavior in AdS
摘要：
在3+1维场论中，利用规范-引力对偶性，通过调整电荷密度和磁场，我们给出了单位动力学指数$z=1$下费米液体和非费米液体的出现.电阻率只在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。
英文摘要：
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.
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