Using Modified BCS to Explain High-Temperature Superconductivity in YBCO Compounds

Superconducting materials pays attention of scientists for its important roles in generation of powerful magnetic field and electric energy beside transportation and magnetic resonance imaging (MRI). In this search, Six cases of the behavior of superconducting materials and Yttrium Barium Copper Oxide (YBCO) compounds were studied. The aim of this work is to explain behavior of superconductors by using quantum, statistical and mechanical laws. The methodology is based on using mathematical derivation based on basic physical laws then comparing the results obtained with experimental foundation. The first case was investigated infinite conductivity, we are assuming that electrical damping serves as a measure of the resistance to the motion of magnetic vortices, which arise due to strong magnetic fields in type-II superconductors. The second and third cases, was compared critical temperature of high-temperature superconductivity on the YBCO compounds between using condensed matter laws and modified BCS theory. Firstly, we calculated the Tc by using the number density and momentum quantization for Fermi level but this concept is failed to explain the Tc for YBCO compounds. Secondly, critical temperature of YBCO compounds was derived by using a modified BCS theory. We assumed that the mechanism of Cooper pair formation in HTSC is due to the magnetic exchange resulting from random spin fluctuations for electrons, this result indicate the Tc is strongly dependent on the Debye temperature. After was taken experiments value for Debye temperature for YBCO, was calculated the critical temperature was given , recently we noticed the modified BCS theory its give better expression for Tc on YBCO than condensed matter.