Weyl Kondo semimetal without quasiparticles

The interplay between interaction and topology is an outstanding topic in current research [1]. One intriguing question that remains is whether, and how, a gapless topological state can be realized when the Fermi-liquid framework breaks down. In this work [2,3], we substantiate the existence of this new type of topological states in two settings. The first occurs for a quantum critical phase, as exemplified by multichannel Kondo systems [2], where the multichannel Kondo effect stabilizes a non-Fermi liquid topological phase. The second one is the Weyl Kondo semimetal near a quantum critical point [3]. We show how symmetry constraints extend to the Green’s function, allowing for the possibility of non-Fermi liquid topological semimetal states. We also discuss the properties and topological signatures of these states, along with their connection to recent material realization [3].





[1] S. Paschen & Q. Si, Nat. Rev. Phys. 3, 9 (2021).



[2] H. Hu et al., arXiv:2110.06182



[3] D. M. Kirschbaum, L. Chen et al., arXiv:2404.15924 (2024)