Resistivity of various metals described in a wide temperature range with a universal theoretical equation

Abstract

A generic conductivity equation, developed in our previous work without any restrictions to specific materials, is borrowed to evaluate how conductivity/resistivity changes with temperatures in a very wide temperature range from almost zero to several hundreds of Kelvins. Two scenarios are investigated, the parameters A and B in the conductivity equation are both dependent and independent of temperature. Derived equations show that conductivity/resistivity has a Taylor expansion relationship with temperature. They can fit resistivity data very well at both low and high temperature regions with an adequate volume-temperature expansion relationship. The predictions are in line with experimental observations and better than the latest empirical equations. Our findings provide a unified theoretical description of normal, bad, and strange metals.