Conductivity of anisotropic inhomogeneous superconductors above critical temperature

Abstract

We propose a model and derive analytical expressions for conductivity in heterogeneous fully anisotropic conductors with ellipsoid superconducting inclusions. This model and calculations are useful to analyze the observed temperature dependence of conductivity anisotropy in various anisotropic superconductors, where superconductivity onset happens inhomogeneously in the form of isolated superconducting islands. The results are applied to explain the experimental data on resistivity above the transition temperature $T_c$ in the high-temperature superconductor $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_4{\mathrm{O}}_8$ and in the organic superconductor $\beta$-(BEDT-TTF)${}_2$I${}_3$. The comparison of resistivity data and diamagnetic response in $\beta$-(BEDT-TTF)${}_2$I${}_3$ allows us to estimate the size of superconducting inclusions as $d\sim 1\mu m$.

arXiv commentpublished version

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Cited by in corpus (7)

• Anisotropic zero-resistance onset in organic superconductors
• On the size of superconducting islands on the density-wave background in organic metals
• Evolution of shape and volume fraction of superconducting domains with temperature and anion disorder in (TMTSF)${}_2$ClO${}_4$
• Inhomogeneous superconductivity onset in FeSe studied by transport properties
• First-order phase transition between superconductivity and charge/spin-density wave as the reason of their coexistence in organic metals
• On the dilemma between percolation processes and fluctuating pairs as the origin of the enhanced conductivity above the superconducting transition in cuprates
• Peculiar effect of sample size in layered superconductors