Universal scaling behavior of resistivity under two-dimensional superconducting phase fluctuations

In superconductors with low superfluid density, superconducting phase fluctuations can significantly influence many physical properties. A quantitative microscopic description of electrical transport under thermal phase fluctuations has remained scarce. Using Monte Carlo simulations of the classical XY model, we investigate the numerically exact transport properties arising from thermal phase fluctuations. We demonstrate that the quasiparticle lifetime is determined by the correlation length of the superconducting order parameter. This leads to a universal scaling of the electrical resistivity governed by Berezinskii-Kosterlitz-Thouless criticality. While it is consistent with the Halperin-Nelson framework, our results reveal a scaling exponent smaller than one for the inverse correlation length. We also discuss the dependence of resistivity on pairing amplitude and implications for related experiments.