Effect of Internal Energy on Specific Heat of Cuprates using s-Wave and d-Wave Hybrid Model

Abstract

The observation of an exponential decay of the specific heat at low temperatures shows that specific heat (Cv) of cuprates depend on the energy spectrum of a superconductor. This means that devising ways of varying internal energy of a system without necessarily varying temperature can help achieve room temperature superconductivity. In this paper, the relationship between internal energy and specific heat is investigated using a Hamiltonian generated from a Hybrid of swave and d-wave. The Hamiltonian was diagonalized by Bogoliubov-Valatin (BVT) formalism and used to analyze specific heat of Bismuth cuprates. The graph of Cv versus temperature was a skewed Gaussian shaped curve. Maximum Cv was observed at Tc (32 K, 94 K and 108 K) respectively as 2750 eV/K, for Bi-2201, Bi-2212 and Bi-2223. Increasing the number of copper oxide layers can therefore help increase binding energy and increase the temperature at which maximum Cv of the system is attained, a prerequisite for attaining high transition temperature (Tc). As a consequence, room temperature superconductivity can be achieved by varying the binding energy (increasing copper oxide planes) in a lattice of a cuprate superconductor.