Fig. 2. Competition between HFL and magnetic order.

(A) Phase diagram in plane of WSe₂ filling x versus J_H/t_W calculated from solution of mean-field equations. Black dots (white background) indicate regions of small FS metallic phase coexisting with 120° AFM metallic order; red points (orange background) indicate regions of large FS HFL phase. (B) Line cut at J_H/t_W = 0.025 showing x dependence of the mean-field order parameters: hybridization Φ, local moment staggered magnetization M^∥, and itinerant electron staggered magnetization ∣m^∥∣. m^∥ is opposite to M^∥; we plot the absolute value of both quantities. The inset shows the effective Kondo exchange as a function of the doping x. A first-order transition happens at the critical doping x_c ≃ 0.45 corresponding to ${\mathrm{\rho }}_{{\mathrm{ϵ}}_F}{\overline{J}}_K\simeq 0.14$. (C) Energy of the two different phases as a function of x. (D) Evolution of the average quasiparticle mass as a function of x in logarithmic scale. The data are obtained setting J_K/t_W = 1 (bandwidth 9t_W).