Percolative nature of the dc paraconductivity in the cuprate superconductors

Abstract

We present an investigation of the planar direct-current (dc) paraconductivity of the model cuprate material HgBa${}_2$CuO${}_{4+\delta }$ in the underdoped part of the phase diagram. The simple quadratic temperature-dependence of the Fermi-liquid normal-state resistivity enables us to extract the paraconductivity above the macroscopic $T_c$ with great accuracy. The paraconductivity exhibits unusual exponential temperature dependence, with a characteristic temperature scale that is distinct from $T_c$. In the entire temperature range where it is discernable, the paraconductivity is quantitatively explained by a simple superconducting percolation model, which implies that underlying gap disorder dominates the emergence of superconductivity.

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• Unusual dynamic charge-density-wave correlations in HgBa${}_2$CuO${}_{4+\delta }$
• Universal superconducting precursor in the cuprates
• Signatures of enhanced superconducting phase coherence through MID-IR excitation in optimally doped Y-Bi2212
• Unconventional short-range structural fluctuations in cuprate high-$T_c$ superconductors
• Protected superconductivity at the boundaries of charge-density-wave domains
• Phonon spectrum of underdoped ${\text{HgBa}}_2{\text{CuO}}_{4+\delta }$ investigated by neutron scattering
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• Characterization of two electronic subsystems in cuprates through optical conductivity
• Unravelling the mechanism of the semiconducting-like behavior and its relation to superconductivity in (CaFe${}_{1-x}$Pt${}_x$As)${}_{10}$Pt${}_3$As${}_8$
• Percolative Superconductivity in Electron-Doped Sr${}_{1-x}$Eu${}_x$CuO${}_{2+y}$ Films
• Transport properties and doping evolution of the Fermi surface in cuprates
• Doping-dependent phonon anomaly and charge-order phenomena in the HgBa${}_2$CuO${}_{4+\delta }$ and HgBa${}_2$CaCu${}_2$O${}_{6+\delta }$
• Anisotropic Time-Domain Electronic Response in Cuprates
• Nanoscale structural correlations in a model cuprate superconductor
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• On the dilemma between percolation processes and fluctuating pairs as the origin of the enhanced conductivity above the superconducting transition in cuprates
• Cuprates, Pnictides and Sulfosalts: Lessons in Functional Materials
• Phenomenological model for the third-harmonic magnetic response of superconductors: application to Sr${}_2$RuO${}_4$
• Signature of Unconventional Superconductivity in the High Temperature Normal State Resistivity
• Superfluid response of two-dimensional filamentary superconductors