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A microscopic analysis of the superconducting quantum critical point realizedvia a pair-breaking quantum phase transition is presented. Finite temperaturecrossovers are derived for the electrical conductivity, which is a key probe ofsuperconducting fluctuations. By using the diagrammatic formalism fordisordered systems, we are able to incorporate the interplay betweenfluctuating Cooper pairs and electrons, that is outside the scope of atime-dependent Ginzburg Landau or effective bosonic action formalism. It isessential to go beyond the standard approximation in order to capture the zerotemperature correction which results purely from the (dynamic) quantumfluctuations and dictates the behavior of the conductivity in an entire lowtemperature quantum regime. All dynamic contributions are of the same order andconspire to add up to a negative total, thereby inhibiting the conductivity asa result of superconducting fluctuations. On the contrary, the classical andthe intermediate regimes are dominated by the positive bosonic channel. Ourtheory is applicable in one, two and three dimensions and is relevant forexperiments on superconducting nanowires, doubly-connected cylinders, thinfilms and bulk in the presence of magnetic impurities, magnetic field or otherpair-breakers. A window of non-monotonic behavior is predicted to exist aseither the temperature or the pair-breaking parameter is swept.

physical review. b, condensed matter and materials physics

Microscopic analysis of the superconducting quantum critical point:  Finite temperature crossovers in transport near a pair-breaking quantum phase  transition