Abstract
The superconductor-to-insulator quantum phase transition in resistively shunted Josephson junctions is investigated by means of path-integral Monte Carlo simulations. Our numerical technique allows to directly access the regime of the Josephson-to-charging energy ratios ${E}_{J}{/E}_{C}$ of order one. Our results unambiguously support an earlier theoretical conjecture, based on renormalization-group calculations, that at $\stackrel{\ensuremath{\rightarrow}}{T}0$ the dissipative phase transition occurs at a universal value of the shunt resistance ${R}_{S}{=h/4e}^{2}$ for all values ${E}_{J}{/E}_{C}.$ On the other hand, finite-temperature effects are shown to turn this phase transition into a crossover, whose position depends significantly on ${E}_{J}{/E}_{C},$ as well as on the dissipation strength and temperature. The latter effect needs to be taken into account in order to reconcile earlier theoretical predictions with recent experimental results.
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