A theoretical model calculation of measurement of anisotropic resistivity for high T_c superconductor

Abstract

This paper presents a unified theoretical model for the measurement of anisotropic resistivity. Firstly, a dual integral equation system is proposed for crystal or film of high T_c superconductor (HTS). Then the integral equation system is decoupled by a suitable integral transformation and the dimension is reduced by using the Schlömilch theorem of 1857, so that the 3D partial differential equation is transformed into a 1D integral–differential equation. It is shown that the singular part of the kernel can be separated analytically. The universality and scaling law are discussed and some useful universal correction curves are presented. It is expected that this work will be helpful in the analysis for the measurement of anisotropic resistivity.