(American Research Journal, An academic publishing house, 2026) Rapando B. W., Tonui J. K., Khanna K. M., Mang’are P. A.
The Bogliubov transformation was used in this study to diagonalize the t-J model Hamiltonian yielding
the quasi-particle Hamiltonian and the thermodynamic properties of high temperature superconductors.
Formulae for ground state Energy , specific heat, , and entropy, , of high temperature superconductors
have been derived in the framework of the t-J model. Transition temperature for Lanthanum Strontium Copper
Oxide (LSCO) in the t-J formalism is obtained . Transition temperature for Yttrium Barium Copper
Oxide (YBCO) in the t-J formalism is obtained . Calculated Tc
that is higher than the experimental
value has been obtained for the LSCO and YBCO Cuprates. Highest heat capacity of the superconducting state
in the t-J model is found to be while the highest entropy value is 3.15×10-3eV/K for high-Tc
superconductors. The total energy of the system increases exponentially with the temperature.
