Abstract:
Superconductivity is a phenomenon that is seen in a few different elements and com pounds which is defined by the charge-carrying Fermions that condense into a Bose Einstein condensation. The main objective of this research is to show how electrons
contribute to the thermal conductivity of zirconium diboride (ZrB2) superconduc tor by applying Boltzmann transport property equations and Boltzmann differential
equations at the normal state and BCS theory at superconducting states. Moreover,
the energy dispersion relation functions in k-space (Ek ), electronic heat capacity(Cel)
and the electronic thermal conductivity (K) of ZrB2 in comparison with the normal
and superconducting states are analyzed. The expression for electronic thermal con ductivity (K) and electronic heat capacity (Cel) at superconducting and normal states
have been determined and plotted as functions of temperature (T). The graph shows
the linear dependency of electronic thermal conductivity and electronic heat capacity
with temperature (T) in the normal state and a kink near TC in the superconducting
state. Furthermore, in the normal state of ZrB2, the electrical and thermal conduc tivity results have been calculated and checked to obey a Wiedemann-Franz law of
theoretical Lorenz value for its validity. But it is not expected to be obeyed in a
superconducting state. Finally, the general expression for the electronic thermal con ductivity of ZrB2 is determined in K-space.
Key Words: Zirconium diboride, normal state, thermal conductivity, supercon ducting state