The Diagonalized t-J Hamiltonian and the Thermodynamic Properties of High-Tc Superconductors
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Date
2026
Journal Title
Journal ISSN
Volume Title
Publisher
American Research Journal, An academic publishing house
Abstract
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.
Description
Keywords
Keywords: Bogliubov Transformation, t-J model Hamiltonian, Transition temperature, Superconducting State, Ground State Energy.