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A modern, but way too short history of the theory of superconductivity at a high temperature
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An attempt to shed light on the various belief/idea systems in high Tc superconductivity that are at present popular. This text is in first instance intended to serve both string theorists and junior condensed matter physicists who want to enter this field. It departs from the premise that the often confusing, mutually contradicting portfolio of theories can be best appreciated by viewing it from a historical perspective. The histories of the following subjects are chronicled: the spin fluctuation superglue, Mottness, Resonating Valence Bonds and the gauge theories, pseudo-gap and competing orders, quantum critical metals. The author is well aware that any attempt to write such a history is subjective and comments are welcomed.
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Scale-covariant liquid in nonlocal high Tc strange metals
Long-range repulsive interactions V(r) ~ 1/r^alpha give a scale-covariant self-energy with exponent gamma = 2 - 1/alpha, explaining the doping-dependent ARPES exponents in cuprate strange metals.
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