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We present measurements of the fluctuation superconductivity in an underdopedthin film of La$_{1.905}$Sr$_{0.095}$CuO$_4$ using time-domain THzspectroscopy. We compare our results with measurements of diamagnetism in asimilarly doped crystal of La$_{2-x}$Sr$_x$CuO$_4$. We show through avortex-plasma model that if the fluctuation diamagnetism solely originates invortices, then they must necessarily exhibit an anomalously large vortexdiffusion constant, which is more than two orders of magnitude larger than theBardeen-Stephen estimate. This points to either the extremely unusualproperties of vortices in the under-doped d-wave cuprates or a contribution tothe diamagnetic response that is not superconducting in origin.

physical review. b, condensed matter and materials physics

On the possibility of fast vortices in the cuprates: A vortex plasma  model analysis of THz conductivity and diamagnetism in  La$_{2-x}$Sr$_{x}$CuO$_4$