Sommerfeld’s Coefficient of a Boson-Fermion Pair Condensate in High Temperature Superconductors

Abstract

High temperature superconductivity has shown dependence on the interaction between a finite momentum Cooper-pair boson and a fermion. The occurrence of a superconducting energy gap in cuprates is defined by collective excitation of boson-fermion pair condensates (BFPC) above the ground state. The ground state energy of the system represents its total internal and has been used to determine Sommerfeld’s coefficient of a BFPC in high temperature superconductor’s. Atypically, the study is furthered by linking the theory to experiments, through extrapolations, leading to high-precision results both in cuprates and iron-based superconductors. For instance, the Sommerfeld’s coefficients of the model in YBa2Cu3O7 and Ca0.33Na0.67Fe2As2 are found to be 30.36mjmol-1 K-2 and 114.1mjmol-1 K-2 respectively while the empirical ranges in these materials are 30±5 mjmol-1 K-2 and 105±5 mjmol-1 K-2 respectively.