TITLE:
Implementation of a Semi-Classical Theory for Superconductors
AUTHORS:
Elie W’ishe Sorongane
KEYWORDS:
Superconducting State, Normal State, Critical Temperature, Free Electron, Electron Gas, Electron Density
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.12 No.7,
July
20,
2022
ABSTRACT: When the temperature of
certain materials is lowered to exceed a certain value called the critical temperature,
a state transition occurs: the system passes from the normal state to the
superconducting state. A superconductor has two fundamental physical
properties: a zero electrical resistance to direct current and a Meissner
effect (the material repels any external magnetic flux). Lacking a suitable
theory, physicists have attempted to explain the existence of this exotic
low-temperature state using phenomenological approaches. In this work, we
introduce a semi-classical (non-phenomenological) theory of superconductors. We
demonstrate then that only the behavior of the gas of free electrons following
the variation of the temperature in the metal explains not only the physical
properties of the superconductors but also the existence of superconductors at
high critical temperature. The critical temperature then plays the same role as
the liquefaction temperature in a gaseous state-liquid state transition and the
same role as the Curie temperature in a paramagnetic state-ferromagnetic state
transition.