Superconducting fluctuation conductivity in a magnetic field in two dimensions

Abstract

We address the problem of the magnetoresistance of a disordered two-dimensional superconductor in the fluctuation regime above $T_c$. We extend the Maki-Thompson result to temperatures closer to $T_c$ and to higher magnetic fields by considering the magnetic field dependence of the superconducting fluctuations. We also obtain the zero-field conductivity at all temperatures above $T_c$. Our results agree with Larkin’s theory in its range of validity but differ from tentative extensions of his theory to higher magnetic fields which have appeared in the literature.