Holographic RG flow of thermoelectric transport with momentum dissipation
Holographic RG flow of thermoelectric transport with momentum dissipation
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具有动量耗散的热电输运的全息 RG 流
DOI：
10.1103/physrevd.97.066029
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发表时间：
2018
影响因子：
5
通讯作者：
Tian Yu
中科院分区：
文献类型：
--
作者：
Wu Shao-Feng;Wang Bin;Ge Xian-Hui;Tian Yu
我们构造了平移对称破缺时热电导率的全息重整化群流。RG流由悬浮在滑动径向膜上的内在观察者探测。我们通过求解矩阵形式的Riccati方程得到RG流。RG流提供了一种高效的数值方法来计算具有动量耗散的强耦合系统的热电传导率。作为一个例子，我们恢复了爱因斯坦-麦克斯韦-轴子模型中的交流热电电导率。此外，在几个均匀和各向同性的全息模型，耗散的动量和具有有限的密度，它被发现，RG流的特定组合的DC热电电导率不运行。结果表明，边界场理论的直流热导率可以用解析方法导出，而不需要使用守恒热流。
We construct the holographic renormalization group (RG) flow of thermo-electric conductivities when the translational symmetry is broken. The RG flow is probed by the intrinsic observers hovering on the sliding radial membranes. We obtain the RG flow by solving a matrix-form Riccati equation. The RG flow provides a high-efficient numerical method to calculate the thermo-electric conductivities of strongly coupled systems with momentum dissipation. As an illustration, we recover the AC thermo-electric conductivities in the Einstein-Maxwell-axion model. Moreover, in several homogeneous and isotropic holographic models which dissipate the momentum and have the finite density, it is found that the RG flow of a particular combination of DC thermo-electric conductivities does not run. As a result, the DC thermal conductivity on the boundary field theory can be derived analytically, without using the conserved thermal current.