论文标题
带有耦合及其电量的全息图两电流模型
Holograhic two-currents model with coupling and its conductivites
论文作者
论文摘要
我们实施了两个量规场的全息引力模型,它们之间的耦合是对两电流模型的双重耦合。获得了分析的黑色勃雷溶液。特别是,我们可以与耦合结合电导率的表达式,并发现电导率的表达式与耦合参数$θ$直接相关。这是我们目前工作的主要主题。作为应用程序,我们通过此处概述的计划计算电导率,并简要讨论电导率的属性。一个有趣的属性是,随着$θ$的耦合增加,低频下降$ [σ_a] $/$ re [σ_b] $在$θ= 1 $时变为硬间隙,这与掺杂$χ$无关。还讨论了某些电导率的单调行为。
We implement a holographic gravity model of two gauge fields with a coupling between them, which is dual to a two-currents model. An analytical black brane solution is obtained. In particular, we work out the expressions of conductivities with coupling and find that the expressions of conductivities are directly related to the coupling parameter $θ$. It is the main topic of our present work. As an application, we calculate the conductivities by the scheme outlined here and briefly discuss the properties of the conductivities. An interesting property is that as the coupling $θ$ increases, the dip at low frequency in $Re[σ_A]$/$Re[σ_B]$ becomes deepening and then turns into a hard-gap-like when $θ=1$, which is independent of the doping $χ$. Some monotonic behaviors of the conductivities are also discussed.