THE NORMAL STATE RESISTIVITY OF A SUPERCONDUCTING FILM IN AN EXTERNAL STATIC ELECTRIC FIELD IN YBa2Cu3O7−x

Abstract

We propose two mechanisms for the variation of resistance of a film as a function of applied electric field. The resistivity calculated for the field-driven movement of the mobile charge carriers in the normal state of a superconductor in the static approximation varies as the square root of the electric field, ρ∝E1/2 only as long as the dielectric constant is independent of the field. We also predict that the resistivity of a system with conduction electrons localized along a 1-dimensional chain varies as the square root of the applied electric field. We have found that for the electric field larger than about half of the break down field, E >E BD /2, the measured resistivity varies as the square root of the electric field, ρ∝E1/2. Thus both of the theoretical approximations are in agreement with the experimental measurements of the normal state resistivity of YBa 2 Cu 3 O 7−x.