Effect Of Power-Maxwell Field On Holographic Superconductors With Backreactions

Inspired by the related research on black hole entropy, G.t’Hooft and Susskind promoted holographic principle respectively which interpreted that a dynamic system containing gravity can be described by a quantum theory on its boundary. AdS/CFT correspondence principle is a strict implementation of holographic principle and it is also a special method to do research in strong coupling field by which some of the problems can be processing and the concept has become clearer.It is thought that condensed matter physics and gravitational theory belong to two areas that are completely independent, different and have little correlation. However, the thought was overturned by AdS/CFT corresponding principle, and we found it could tackle with strong field system in condensed matter physics, which provide a new possible approach for discussing the physical mechanism of high-temperature superconductor. Since BCS theory failed to explain the phe-nomenon of high-temperature superconductor, people convert from laying their hope in applying uniquely the method in condensed matter physics to AdS/CFT corresponding principle and gravitational holographic principle to explain the phe-nomenon of high-temperature superconductor.We apply Sturm-Liouville method to analytically study the properties of the holographic superconductors for a charged scalar field coupled with a Power-Maxwell field in the background of d-dimensional Schwarzschild AdS black hole with backreactions. By studying the properties of the critical behaviors of the holo-graphic superconductors analytically and numerically we find that:the stronger backreactions i.e the larger backreactions parameter κ makes the critical temper-ature Tc lower which means harder for scalar hair to be condensated; the larger power parameter q of Power-Maxwell i.e the the greater the degree of nonlinearof the Power-Maxwell field also makes the critical temperature Tc lower which also means harder for scalar hair to be condensated; the less dimension of the space- time and the lager mass of the scalar field make it harder for the scalar hair to be condensated. In these four factors which affect the critical temperature, the power parameter q for the Power-Maxwell field modifies the critical temperature more significantly than any other factor. We also find that the backreactions and Power-Maxwell field do not affect the critical exponent as1/2of the system.