Fig. 5: Local order stabilization.

a Scattering between two Weyl nodes with the same chirality, separated in momentum space by Δb. The dashed line denote the Fermi level of the bands. Two kinds of scattering are possible, intraband scattering V₊₊ and interband scattering V₊₋. b Nesting conditions between Weyl nodes. Large circles represent the positions of the Weyl nodes within the k_z = 0 plane (adapted from¹⁹), with open and closed circles indicating nodes of different chiralities. Smaller circles represent all possible momentum space separations Δb of the Weyl nodes, with blue and orange representing scattering between nodes of the same and opposite chiralities, respectively. Purple stars represent the location of the measured magnetic wavevector, q_m. c Components of scattering between two Weyl nodes of the same chirality q (green arrows) based on the Weyl node separation Δb (red arrows) and magnetic wavevector q_m (purple arrow). Note that the k_x − k_y coordinate is material coordinate while the e₁ − e₂ − e₃ coordinate is the magnetic wavevector coordinate described in Eq. (4). d The free energy contribution from the interaction F⁽²⁾ and q in q₁ − q₂ − q₃ coordinate basis of the magnetic propagation vector. The contribution is negative when the scattering wavevector is perpendicular to the propagation direction of the magnetization, lowering the free energy. e F⁽²⁾ as a function of dimensionless temperature T/∣q∣ for different domain size cutoffs where dimensionless k_min/q is inversely proportional to the domain size. As the domains decrease in size, the free energy is negative over a larger temperature range. f Summary of the inverse of total MR deviation, maximal field-induced thermal conductivity deviation, and REXS data as a function of temperature in the fluctuation-stabilization regime. Error bars representing one standard deviation for the first two quantities are smaller than the marker size. The uncertainty in the REXS data is calculated from proper error propagation of the Poissonian statistics in the number of detector counts and error related to the fitting of the incommensurate peak via a Lorentzian with a background function. The dashed lines serve as a visual guide of the trend and the purple shaded region denotes the temperature region near 12.8 K.