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The quasi-1D organic Bechgaard salt (TMTSF)$_2$PF$_6$ displaysspin-density-wave (SDW) order and superconductivity in close proximity in thetemperature-pressure phase diagram. We have measured its normal-stateelectrical resistivity $\rho_a(T)$ as a function of temperature and pressure,in the $T \to 0$ limit. At the critical pressure where SDW order disappears,$\rho_a(T) \propto T$ down to the lowest measured temperature (0.1 K). Withincreasing pressure, $\rho_a(T)$ acquires a curvature that is well described by$\rho_a(T) = \rho_0 + AT + BT^2$, where the strength of the linear term,measured by the $A$ coefficient, is found to scale with the superconductingtransition temperature $T_c$. This correlation between $A$ and $T_c$ stronglysuggests that scattering and pairing in (TMTSF)$_2$PF$_6$ have a common origin,most likely rooted in the antiferromagnetic spin fluctuations associated withSDW order. Analysis of published resistivity data on the iron-pnictidesuperconductor Ba(Fe$_{1-x}$Co$_x$)$_2$As$_2$ reveals a detailed similaritywith (TMTSF)$_2$PF$_6$, suggesting that antiferromagnetic fluctuations play asimilar role in the pnictides.

Correlation between linear resistivity and $T_c$ in the Bechgaard salts and the pnictide superconductor Ba(Fe$_{1-x}$Co$_x$)$_2$As$_2$