Scaling relation between nuclear relaxation and magnetic susceptibility in organic conductors: Evidence for 1D paramagnon effects

A scaling relation between nuclear relaxation $T_1^{\mathrm{-}1}$ and magnetic susceptibility ${\chi }_s$ is established for (TMTSF${)}_2$ ${\mathrm{PF}}_6$ and (TMTSF${)}_2$ ${\mathrm{ClO}}_4$ organic conductors over a wide domain of temperature at ambient pressure. The analysis in terms of quantum scaling demonstrates the important role played by 1D paramagnon magnetic excitations in the Bechgaard salts. Similar observations made on (TMTTF${)}_2$ ${\mathrm{PF}}_6$ clarify the nature and the dimensionality of correlations of the nonordered phases in both (TMTSF${)}_2$X and (TMTTF${)}_2$X series compounds.