Free Energy, Specific Heat, and Critical Field Calculations for High Temperature Superconductors
Within the frame work of Ginzburg-Landau theory and the modified BCS theory, the Helmholtz free energy, specific heat, and critical fields were derived. The obtained expressions where then used to compute numerically the free energy, specific heat, and critical fields as a function of temperature using relevant parameters for certain compounds. The results show relatively similar behavior for the two theories. However, the results using the BCS modified theory showed good agreements with some reported experimental results.