Internal Energy Of Hybrid S-Wave And D-Wave Pairing In Bismuth Cuprates

Abstract

Bogoliubov-Valatin Transformation was used to diagonalize a Hybrid Hamiltonian for electron-electron and electron-cooper pair interaction. From the diagonalized Hamiltonian, an expression for ground state energy was obtained and used to determine internal energy of the system of Bismuth cuprates. It was noted that the internal energy of Bi-2201 is higher than of Bi-2212 and Bi-2223. At experimental transition temperature (Tc) (20 K, 95 K and 110 K), internal energies were recorded as 0.4843 eV, 0.010 eV and 0.0058 eV. While at room temperature (300 K), internal energy was found to be 0.9528 eV, 0.2323 eV and 0.1514 eV respectively for Bi-2201, Bi-2212 and Bi-2223. The observations are discussed with a view of explaining the cause for high temperature superconductivity which can help in achieving room temperature superconductivity. Considering this model, high Tc superconductors can be identified and used to model room temperature superconductors.