Non-Fermi Liquid Topological Semimetals

Whether and how correlated topological states without free-electron counterparts occur

in metallic systems is an open and pressing question. In heavy fermion systems, it has recently

become possible to utilize symmetry to design correlated topological semimetals [1]. In this

work, we introduce a general framework where lattice symmetries constrain single-particle

excitations even when the Fermi-liquid description breaks down, and substantiate it in a two-

channel periodic Anderson model [2]. We demonstrate that correlation-induced emergent

excitations are constrained by lattice symmetries to produce non-Fermi liquid topological

phases. The topological nature of these phases is characterized by surface states and valley

and spin Hall conductivities. We further identify candidate materials to realize the proposed

phases. Our work opens a door to a variety of non-Fermi liquid topological phases in a broad

range of strongly correlated materials.

Work at Rice was supported by the AFOSR Grant # FA9550-21-1-0356 and the NSF Grant #

DMR-2220603.

[1] L. Chen et al., Nat. Phys. (2022). https://doi.org/10.1038/s41567-022-01743-4

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