Specific Heat Of Doped High-TC Cuprate Superconductors Within The Bose-FermiHubbard Model

Abstract

Studies on superconductivity arising from doping a Mott insulator have become critical in the area of superconductivity. Within the framework of the Bose-Fermi-Hubbard model, we discuss the thermodynamic phase transition via specific heat in hole and electron doped high-TC cuprate superconductors. By considering the interplay between the electrons (fermions) and cooper pairs (bosons), the main features of the temperature dependence of the specific-heat, are well reproduced. It is shown that a hump-like feature in the specific-heat appears at the superconducting transition temperature TC, and then the specific-heat varies exponentially as a function of temperature for the temperatures TC, and then the specific-heat varies exponentially as a function of temperature for the temperatures T<TC. This is in consistency that at lower temperatures, a superconducting gap seems to open progressively. In particular, quantitatively, we report a specific heat value ~4.6661×10-3 eV/K for YBa2Cu3O6 (YBCO), 4.6419×10-3 eV/K for La2-xSrxCuO4 (LSCO), 4.67×10-3 eV/K for Nd2-xCexCuO4 (NCCO) and 4.662×10-3 eV/K for Pr2-xCexCuO4 (PCCO) at their respective TC values which are in favorable agreement with other recent research findings.