Thermodynamic properties of yttrium barium copper oxide (YBa2Cu307-x) superconducting quantum well

Abstract

In this work, we obtained analytical bound state solution of Schrodinger wave equation and thermodynamic properties with modified Hulthen plus generalized Coulomb Potential as applied to Yttrium Barium copper oxide (YBa₂Cu₃0_7-x)  superconductor using parametric Nikiforov-Uvarov method (NU). We obtained the energy eigenvalues for various screening parameter (α = 0.2 , 0.4 , 0.6 , 0.8 , 1.0) and the total normalized wave function expressed in terms of Jacobi polynomial. Thermodynamic properties of YBa₂Cu₂0_7-x such as the vibrational mean energy U(β),  vibrational heat capacity C (β), vibrational entropy S(β) and vibrational free energy F(β), were obtained using partition function. The thermodynamic wave functions and probability density plots were also obtained. Yttrium Barium copper oxide can be used on an adjustment measure to obtain necessary inherent and band gap energies for the production and manufacturing ofYBa₂Cu₂0_7-x technological devices.