40 years of cuprate high-Tc superconductors: a perspective on theories

Abstract

An attempt is made to give a brief but coherent account of the situation of the theoretical ideas in addressing the mechanism of superconductivity in cuprate high-Tc superconductors. Specifically, the idea of superconductivity from repulsive interactions is discussed as it is gaining ground since the `consensus' paper was written in 2015\cite{kei}. The challenges it faces is also discussed. Three main schools of thought are presented, and an experimental result of 2022 pertaining to Anderson's super-exchange mechanism is also discussed. An updated list of Anderson's ``dogmas" is also presented, as after year 2000, many other universally applicable experimental facts has been discovered. The ``dogmas" are universal facts which are distilled from a variety of complex experimental results, and highlights the key findings that seems to be central to the mechanism of superconductivity in cuprates. These are discussed as a commemoration of 40 years of high-Tc cuprate research.