A model for dimensional crossover temperature above the superconducting transition for high-temperature superconductors

We have developed a theoretical model for the calculation of dimensional crossover temperature above the mean-field transition temperature using paraconductivity approach. We have numerically estimated the dimensional crossover (2D-3D and 2D-1D) temperature for the recently reported polycrystalline sample of the type Hg, Tl-1223. Our numerical results indicate that the dimensional crossover temperature is a variable quantity and it depends on the parameter related to superconductivity and the range of temperature where the fluctuation effect is significant.