| Conventional condensed matter theories that are based on perturbative methods,in general,fail to describe the physical phenomena in strongly coupled systems.The holographic principle and superstring theory inspired AdS/CFT correspondence,however,maps the strongly coupled many-body problems to the problems of weakly coupled classical gravity.It then offers a powerful tool to describe the physics of strongly coupled systems.Nowadays,the AdS/CFT correspondence has been widely applied to condensed matter physics,Quantum Chromodynamics and other fields.In this paper,we shall investigate the charge transport in a strongly coupled electronic system with breaking of translational symmetry by the holographic Horndeski gravity.The AC conductivity is computed by using numerical method and the dependence of the AC conductivity on frequency are displayed for different temperatures.Our results show that there exists a critical temperature T_cwhen we set some special values of the Horndeski coupling.When T<T_c,DC conductivity increases as the increase of the temperature and the peak value of the real part of AC conductivity is located at zero frequency,behaving like a semiconductor.When T>T_c,the DC conductivity declines as the increase of the temperature and the peak value of the real part of AC conductivity is still located at zero frequency,behaving like a metal.As a consequence,our holographic model can realize a metal-semiconductor transition that is driven by the Horndeski coupling term. |
