The conductivity equation developed on the basis of Eyring’s rate process theory and free volume concept has been extended in this article to explore high temperature superconductivity. It is found that the high temperature superconductivity can only happen when the electrons have a fractional coordination number, in contrast to the low temperature superconductivity where electrons must form pair structures in most cases. The superconductivity transition temperatures will move to higher temperature regions if the electrons continue to have lower and lower fractional coordination numbers. For room temperature superconductors, electrons must have a very low fractional coordination number like 1/64, which is consistent with the physical picture of highly localized vortex core bound state theory. All materials can be potentially superconductors if the temperature is low enough, no matter that the conductivity initially increases or decreases with the decrease of temperature. Our findings may shed light on how high temperature superconductivity works and provide clues on how to design high temperature superconductors.

本文扩展了基于Eyring速率过程理论和自由体积概念开发的电导率方程，以探索高温超导性。已经发现，只有在电子具有分数配位数的情况下，高温超导才可能发生，而在大多数情况下，电子必须形成成对结构的低温超导性相反。如果电子继续具有越来越低的分数配位数，则超导转变温度将移至较高的温度区域。对于室温超导体，电子必须具有非常低的分数配位数，例如1/64，这与高度局部化的涡旋核束缚态理论的物理图谱是一致的。如果温度足够低，则所有材料都可能是超导体，无论电导率最初随温度的降低而增加还是降低。我们的发现可能会揭示高温超导的工作原理，并为如何设计高温超导体提供线索。