Holographic Fermionic System From A Higher Derivative Gravity

AdS/CFT dual has a very strong theoretical application prospects in strong coupling system.It can be used as a tool to study the physical properties of strong coupling systems.In this paper,we mainly study the holographic fermionic system from the high derivative gravity in terms of AdS/CFT duality.Firstly,we introduce AdS/CFT duality and its application in condensed matter physics.AdS/CFT duality has been widely used in condensed matter physics.It provides the new insight and method into the phenomena and systems involving strong coupling.The first chapter mainly includes: AdS/CFT duality,AdS space and AdS/CFT dictionary.And then,we introduce the application of AdS/CFT duality,in particular the holographic superconductor.Subsequently,we introduce the holographic fermionic systems,including the Landau Fermi liquid theory and holographic(non-)Fermi liquid.In particular,we introduce the holographic fermionic systems in RN-AdS black hole and BI-AdS black hole.Finally,we study the holographic fermionic spectral functions from the higher derivative gravity,which exhibits the non-Fermi liquid behavior.Also,we find that both the height of the peak of the fermionic spectrum and the dispersion relation exhibit a nonlinearity with the variety of the Weyl coupling parameter ?.Another important property of this system is that for the holographic fermionic system with?(27)0,the degree of the deviation from Fermi liquid is heavier than that for the one with ?(29)0.It indicates that there is a transition of coupling strength in the dual boundary field theory.