The correlation between the Nernst effect and fluctuation diamagnetism in strongly fluctuating superconductors

We study theNernst effect in fluctuating superconductors by calculating the transport coefficient α_xy in a phenomenological model where the relative importance of phase and amplitude fluctuations of the order parameter is tuned continuously to smoothly evolve from an effective XY model to the more conventional Ginzburg-Landau description. To connect with a concrete experimental realization we choose themodel parameters appropriate for cuprate superconductors and calculate α_xy and the magnetization Mover the entire range of experimentally accessible values of field, temperature and doping.We argue that α_xy and Mare both determined by the equilibriumproperties of the superconducting fluctuations (and not their dynamics) despite the former being a transport quantity. Thus, the experimentally observed correlation between the Nernst signal and the magnetization arises primarily fromthe correlation between α_xy and M. Further, there exists a dimensionless ratio M (Tα_xy) that quantifies this correlation.We calculate, for the first time, this ratio over the entire phase diagram of the cuprates and find it agrees with previous results obtained in specific parts of the phase diagram.Weconclude that there appears to be no sharp distinction between the regimes dominated by phase fluctuations and Gaussian fluctuations for this ratio in contrast to α_xy and M individually. The utility of this ratio is that it can be used to determine the extent to which superconducting fluctuations contribute to the Nernst effect in different parts of the phase diagram given the measured values of magnetization.