Self-consistent and Maxwell approximations to describe the excess conductivity anisotropy in FeSe above superconducting transition temperature

TL;DR

This paper compares self-consistent and Maxwell approximations for modeling excess conductivity anisotropy in FeSe above its superconducting transition, providing analytical formulas applicable to other anisotropic superconductors.

Contribution

It introduces and compares two approximation methods for anisotropic conductivity in superconductors, highlighting their advantages and limitations.

Findings

Self-consistent approximation offers improved accuracy over Maxwell approximation.

Analytical formulas derived can be applied to various anisotropic superconductors.

Results align with experimental data on FeSe's excess conductivity above Tc.

Abstract

Using the self-consistent approximation we calculate conductivity in an anisotropic heterogeneous media with superconducting inclusions and compare the results with those obtained previously using the Maxwell approximation and with available experimental data on excess conductivity above $ T_c= $~8K in FeSe. Advantages and drawbacks of these two approximations are discussed. The obtained analytical formulas can be applied to various other anisotropic heterogeneous superconductors, including high-Tc layered superconductors.