Fig. 3: Electrical resistivity and the scaling.
From: The scaled-invariant Planckian metal and quantum criticality in Ce1−xNdxCoIn5

a, b The resistivity ρ(T) of Ce1−xNdxCoIn5 with x = 0.02 and x = 0.05, respectively, for B∥c. The insets of a, b show the Fermi-liquid behavior with ρ(T) ~ T2 electrical resistivity at low temperatures for B = 90 kOe. c, d The T/B scaling of both a and b show an universal function linearly proportional to T/B (black solid lines). yρ is a non-universal (field-dependent) constant, satisfying \({y}_{\rho }^{-1}[\rho (T)-{\rho }_{0}]=T/B\). e, f The scattering rates ℏ/τ for x = 0.02, 0.05 at the intermediate temperature regime where the electrical resistivity exhibits a linear-in-T dependence show an universal scaling function ℏ/τ = αΓ (blue solid lines), with \(\Gamma \equiv \sqrt{{({k}_{B}T)}^{2}+{(l{\mu }_{B}B)}^{2}}\), τ being the relaxation time, μB being the Bohr magneton, and l = 0.67 being a fitting parameter43. In e and f, the β band of pure CeCoIn5, with the same band parameters used in Table 1, is taken into account in performing the Γ scaling of resistivity. The extracted α coefficients shown in e and f are consistent with that shown in Table 1.