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We implement a holographic gravity model of two gauge fields with a couplingbetween them, which is dual to a two-currents model. An analytical black branesolution is obtained. In particular, we work out the expressions ofconductivities with coupling and find that the expressions of conductivitiesare directly related to the coupling parameter $\theta$. It is the main topicof our present work. As an application, we calculate the conductivities by thescheme outlined here and briefly discuss the properties of the conductivities.An interesting property is that as the coupling $\theta$ increases, the dip atlow frequency in $Re[\sigma_A]$/$Re[\sigma_B]$ becomes deepening and then turnsinto a hard-gap-like when $\theta=1$, which is independent of the doping$\chi$. Some monotonic behaviors of the conductivities are also discussed.

Holograhic two-currents model with coupling and its conductivites