Fig. 4: Strange-metal transport in V_1/3NbS₂ exhibiting ABAB stacking.

a The zero-field resistivity ρ(T). The downward arrow denotes the Néel temperature T_N  = 50(1) K. The two solid lines represent linear fits in two T regimes: T_N  ≲  T  ≲  350 K and T  ≲  10 K, where T^* (upward arrow) marks the upper limit of the low-T linear behavior. Inset: the temperature derivative, dρ/dT. The dashed line and the downward arrow denote T_N and T^*, respectively. b Temperature vs. field (T  − B) phase diagram showing the non-Fermi liquid (NFL) regimes with ρ(T)  ~  T (orange) and ρ(T)  ~  T^1.6 (red), and the field-induced Fermi liquid (FL) state (blue). The vertical line indicates the temperature range of finite zero-field Hall conductivity σ_xy  > 0. c Evolution of the T  − linear resistivity under B∥z. The curves measured under fields are shifted vertically for clarity. The solid lines show the linear fit \(\rho (T)={\rho }_{0}+{A}^{{\prime} }T\) to the low-T behavior, for which the upper limit T^* is marked by downward arrows. Inset: Representative temperature dependence of \(\rho /({\rho }_{0}+{A}^{{\prime} }T)\), with \(\rho /({\rho }_{0}+{A}^{{\prime} }T)\approx 1\) corresponds to T-linear behavior; the upward arrows mark T^* for each B. d ρ(T) down to 0.1 K under B∥z. The black arrows mark the onset of the NFL state ρ(T)  ~  T^1.6 (solid lines). Above 1 T, ρ(T) recovers the FL T² dependence (dashed lines), with the red arrows denoting its upper limit. e Representative R-squared R² of power-law fitting to ρ(T)  =  ρ₀  +  ATⁿ versus n. The maximum value of R² (dotted lines) indicates optimal fitting. f Power-law exponent n (left-axis) and the inverse of the FL coefficient A (right-axis) versus B. The blue dashed lines are guides for the eye. The linear fit 1/A  ~  ∣B  − B_c∣ (red dashed line) provides a critical field B_c  =  1.2(2) T. Error bars in b, f represent uncertainties in the measured data.