Thermodynamics Property of Electron-Phonon Interaction in Superconducting State

Abstract

Abstract The purpose of this research was to investigate thermodynamics property of the electron-phonon interactions lead to generate Cooper pairs in superconducting state which was entropy. Entropy was a fundamental physical quantity of significant importance for the quantum phase transition. Normally, this property well known of the quasiparticles system in BCS theory but never theoretical research explain about statement of the background for this property. For this reason, by using atomistic microscopic of matter to definitions of the microcanonical ensemble of microstates, we assumed that density of the positive charged lattice ions was perturbed as a result of the electron motion deform the lattice. Our main result shows that the function of entropy from the microcanonical ensemble of microstates sense corresponds to the function of entropy and the Fermi distribution function of the quasiparticles system in BCS theory. Although, the entropy was absolute value can’t be directly measured but the function of entropy could be used as a part of calculation to found the specific heat jump of superconductor. To illustrate the effectiveness of this research, we investigated the situation involving the specific heat jump of hybridized two-band superconductor and the effect of hybridization coefficient on the specific heat jump was investigated.