توصيفگر ها :
ابررساناي هولوگرافي , سياهچالهي ليفشيتز , جفتيدگي وايل , الكتروديناميك غير خطي , آنتروپي درهمتنيدگي هولوگرافي , ناورداي توپولوژي سطح RT , گذار فاز ابررسانايي
چكيده انگليسي :
abstractIn this thesis we investigate some properties of high temperature holographic superconductors Usingthe matching method some properties of holographic superconductors are described analytically fora simple model For this model in the Lifshitz black hole background and by neglecting the effects ofback reaction we investigate the behavior of critical temperature expectation value of condensationoperator and critical magnetic field For example increasing Lifshitz dynamical exponent z indi cating that condensation becomes difficult In addition using the same method we study the Weylsuperconductors Assuming a coupling between the gauge field and the curvature of space time andstudy the effect of this coupling on critical temperature expectation value of condensation operatorand the critical magnetic field In these models we consider the probe limit where the effects of backreaction is negligible For a nonlinear electrodynamic model assuming the back reaction effect isnot negligible and using Sturm Liouville method we calculate the condensation critical temperatureand the critical magnetic field in the Lifshitz black hole back ground Our result indicate that backreaction effect has an important role in the value of condensation operator critical temperature andcritical magnetic field In another part of thesis we investigate the superconductor phase transitionusing the holographic entanglement entropy and also other topological invariants of the RT surfaceand the volume enclosed by it These topological invariants provide a clearer illustration of the super conductor phase transition than do the holographic entangelment entropy In addition in the Lifshitzblack hole background and for a nonlinear electrodynamic we study the behaviour of conductivity inour model Keywords holographic superconductors Lifshitz black hole nonlinear electrodynamic holo graphic entanglement entropy invariant topological of the RT surface superconductor phase transi tion
