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Driving a two-dimensional superconductor normal by applying a high magneticfield may lead to Cooper pair localization. In this case, there should be aquantum critical point associated with specific scaling laws. Such a transitionhas been evidenced in a number of low critical temperature superconducting thinfilms and has been suggested to occur also in high temperature cupratesuperconductors. Here we show experimental evidence for two distinct quantumcritical regimes when applying perpendicular magnetic fields to underdopedLa2-xSrxCuO4 thin films. At intermediate values of the magnetic field(18T-20T), a "ghost" QCP is observed, for which the values of the relatedcritical exponents point towards a fermionic -as opposed to bosonic- scenario.At higher (about 37 T) magnetic field, another QCP is observed, which suggeststhe existence of either a 2D/3D or a clean/dirty temperature crossover.

Double criticality in the magnetic field-driven transition of a high-TC superconductor