The Diagonalized t-J Hamiltonian and the Thermodynamic Properties of High-Tc Superconductors
| dc.contributor.author | Rapando B. W., Tonui J. K., Khanna K. M., Mang’are P. A. | |
| dc.date.accessioned | 2026-09-21T12:07:56Z | |
| dc.date.issued | 2026 | |
| dc.description.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. | |
| dc.identifier.uri | ISSN (Online) : 2378-5714, www.arjonline.org | |
| dc.identifier.uri | https://repository.nrf.go.ke/handle/123456789/1621 | |
| dc.language.iso | en | |
| dc.publisher | American Research Journal, An academic publishing house | |
| dc.relation.ispartofseries | Volume 2016, 11 pages | |
| dc.subject | Keywords: Bogliubov Transformation | |
| dc.subject | t-J model Hamiltonian | |
| dc.subject | Transition temperature | |
| dc.subject | Superconducting State | |
| dc.subject | Ground State Energy. | |
| dc.title | The Diagonalized t-J Hamiltonian and the Thermodynamic Properties of High-Tc Superconductors | |
| dc.title.alternative | American Research Journal of Physics(ARJP) | |
| dc.type | Article |