Resistance of thin films with edge superconductivity in strong magnetic fields

It is shown that, in an edge superconducting layer of a thin film in a magnetic field perpendicular to the film plane, phase slip centers are formed. The centers arise below the superconducting transition temperature because of the thermal fluctuations of the order parameter and lead to the suppression of superconductivity. The resistance corresponding to such fluctuations is determined, and the contribution of the Aslamazov-Larkin correction to the conductivity of a thin film in magnetic fields slightly exceeding the critical field that breaks the surface superconductivity is calculated.