Holographic Transport From Higher Derivative Gravity

The transport properties,such as the electrical conductivity,heat conductivity and thermoelectric transport,are important features of real materials.For the weakly coupled systems,the frequency dependent conductivity exhibits Drude-like peak at low frequency.Their dynamics is well described by the quantum Boltzmann theory.However,it is difficult to deal with the strong coupling problem in the traditional field theory.The holographic duality is a strong/weak-couple duality theory and it provides a convenient and possible route to study the strong coupling theory.In this paper,we mainly study the holographic transports from higher derivative theory.This paper is organized as what follows:In the first chapters,we introduce the AdS/CFT dual theory and present the AdS/CFT dictionary.Then we introduce the application of AdS/CFT duality in condensed matter physics,especially the transport properties.In the second chapters,we construct the holographic frame of the higher derivatives gravitational system with homogeneous disorder and study its conductivity behavior.For 4 derivative gravity system with positive coupling parameter gamma,the homogeneous disorder drives an incoherent metallic state with a peak at low frequency into another incoherent metallic phase with a dip.If the coupling parameter is negative,an oppositive scenario happens.In addition,we also fit the conductivity at low frequency by he modified Drude model and addressed some physical conclusions.For 6 derivative gravity system,we find that the homogeneous disorder drives the hard gap at low frequency conductivity into the soft gap.In the third chapters,we mainly study the properties of quasinormal modes(QNMs)of the system.The particle-vortex duality is studied on the complex frequency plane.Finally,the stability of the system is analyzed by QNMs.The fourth chapters,conclusion and discussion.