The conventional theory of superconductivity says that charge carriers in a metal that becomes superconducting can be either electrons or holes. I argue that this is incorrect. In order to satisfy conservation of mechanical momentum and of entropy of the universe in the superconductor to normal transition in the presence of a magnetic field it is necessary that the normal state charge carriers are holes. I will also review the empirical evidence in favor of the hypothesis that all superconductors are hole superconductors, and discuss the implications of this for the search for higher Tc superconductors.
J. E. Hirsch, "Why only hole conductors can be superconductors," Proc. SPIE 10105, Oxide-based Materials and Devices VIII, 101051V (Presented at SPIE OPTO: February 02, 2017; Published: 7 March 2017); https://doi.org/10.1117/12.2269644.
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