پديد آورنده :
حسيني منصوري، علي
عنوان :
آنتروپي درهم تنيدگي، ابر رساناي دماي بالا و پيچيدگي از ديدگاه هولوگرافي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده فيزيك
صفحه شمار :
خ،177ص.: مصور،جدول،نمودار
استاد راهنما :
بهروز ميرزا
توصيفگر ها :
شبه قانون اول ترموديناميك , ابر رساناي هولوگرافي وايل , پيچيدگي هولوگرافي
استاد داور :
مدعو: احمد شيخي، فاطمه شجاعي داور داخلي: احمد شيرزاد
تاريخ ورود اطلاعات :
1395/08/01
كد ايرانداك :
ID923 دكتري
چكيده انگليسي :
abstractIn the first part of this thesis we investigate the entanglement entropy for the generalized chargedBT Z black hole through the AdS3 CF T2 correspondence The generalized charged BT Z solutionsare derived by considering three types of nonlinear electromagnetic fields N LED coupled with Ein stein gravity Using the holographic description of the entanglement entropy for the strip subsystemin boundary CF T2 we will find the first law like relation between the variation of holographic en tanglement entropy and the variation of energy of the subsystem in terms of the mass and the electriccharge up to the second order Since the bulk Einstein equations and the equation of motion for gaugefields hold for all orders of the small perturbation we expect that the first law like relation to be alsosatisfied for the second order in which the entanglement temperature gets modified We also obtainappropriate counterterms to renormalize the energy tensor associated with the bulk on shell actions In the second part of this thesis We study analytically the properties of the Weyl holographic super conductor in the Lifshitz black hole background assuming that the back reaction effects are negligibleand take the probe limit We find that the critical temperature of the Weyl superconductor decreaseswith increasing Lifshitz dynamical exponent z indicating that condensation becomes difficult In ad dition it is found that the critical temperature and condensation operator could be affected by applyingthe Weyl coupling The constraints imposed on the Weyl coupling in the Lifshitz background andin d dimensions will be initially explored by demanding that the dual CFT should respect the causalityand that the energy flux be positive in all directions for the boundary CFT Moreover we compute thecritical magnetic field and investigate its dependence on the parameters and z Finally we show nu merically that the Weyl coupling parameter and the Lifshitz dynamical exponent z together controlthe size and strength of the conductivity peak and the ratio of gap frequency over critical temperature g Tc In the last part of this thsis we study phase transition of a two dimensional holographic superconductorwith the holographic view of complexity The case of 2D holographic superconductivity of our inter est is based on the AdS3 CF T2 correspondence We also consider the infuence of the backreactionon the dynamics of perturbation in the background spacetime Then we use the domain wall method tocalculate the holographic complexity Our result shows that this quantity is singular at critical chem ical potential Its means that singularities of the complexity happen at normal superconductor phasetransition points for 2D holographic superconductors
استاد راهنما :
بهروز ميرزا
استاد داور :
مدعو: احمد شيخي، فاطمه شجاعي داور داخلي: احمد شيرزاد
