A Theory of Superconductivity based on Bose-Einstein Statistics and Its Application

A theory of superconductivity based on Bose-Einstein statistics was proposed, which can lead to a formula for TC (critical temperature) similar to that of BCS theory, and provide a possible explanation for the complexity of isotope effect and the normal state energy gap in copper-oxides. We proceeded from a 3-dimensional harmonic oscillator model to equivalent the superconducting state to a two-dimensional Bose-Einstein condensate bound longitudinally, and pointed out the application conditions of the theory. Under this scheme, we analyzed some typical structural features in copper oxides that favor the production of high-temperature superconductivity. We also discovered that combining this theory with an alternative mechanism -strong coupling to local spin configurations-provided some useful hints for exploring new superconducting materials. In addition, we pointed out a possible link between the phenomenon of superconductivity and magnetostriction, then we proposed some combinations of elements as possible candidates for high temperature superconducting materials based on those analysis.