The present study has two prime aims. The first is to attempt an explanation of the recent experiment on a high Tc cuprate in which the superconductivity is suppressed by an applied magnetic field of 58 tesla (T). We propose an interpretation in terms of a specific quantum transition, namely a magnetically induced Wigner solid of charge carriers. Second, we explore similarities between superconductivity in alkali-doped fullerides and the high Tc cuprates based on an interpretation of Uemura-type plots. A phase diagram for alkali-doped fullerides is proposed that contains possible universal quantum phase transitions. Evidence is presented that suggests the superconducting phase is located between Wigner solids of charge carriers in fullerides at higher and lower doping at T = 0. Implications are discussed. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005
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