Fig. 5: Kondo destruction quantum criticality nucleating a Weyl–Kondo semimetal.

a, Kondo destruction QCP in a topological heavy-fermion model, defined by an Anderson-lattice Hamiltonian on a three-dimensional kagome lattice (Supplementary Discussion 5), as signified by the ω/T scaling of the dynamical lattice spin susceptibility. β is the inverse temperature. Throughout this figure, we use dimensionless quantities and set ℏ = k_B = 1. b, The imaginary part of the conduction electron (retarded) self-energy at the Kondo destruction QCP in the real frequency domain, obtained from a Padé decomposition, is linear in frequency in the low-frequency region (main plot). Taking into account the small but non-zero temperature T, it is well described by \(-\Im{{\Sigma}}_{\rm{c}}(T,\omega)\approx a\sqrt{{\omega }^{2}+{(bT)}^{2}}\) at low frequencies, with the dimensionless fitting parameters a = 4.09 and b = 2.74 (inset). c, Spectral functions of the f electrons plotted along the high-symmetry K–H line of the Brillouin zone, where a spectral crossing is identified. d, Momentum-resolved energy distribution curves, with the red and blue dots highlighting the maxima of the corresponding dispersion. The red bars in c and d indicate the same range of wavevectors. At k*, the two branches overlap (maximum highlighted by the beige star), with the corresponding Weyl-nodal crossing of the spectral functions marked by the thick brown curve.