Interplay of strong correlations and band topology in pyrochlore compound*

Correlated phases derived from topological flat bands are of extensive current interest. Flat bands

in three dimensions (3D) occur from destructive interference and motivate the consideration of

compact localized states. Recently, correlated phases and non-Fermi liquid behavior have been

discovered in various families of flat band pyrochlore materials [1,2]. Here we construct

exponentially localized Wannier orbitals to write low-energy, interacting tight-binding models

that faithfully capture the band structure and topology of the active bands [3]. Using these

models, we provide insights into correlated orders [4] and quantum fluctuations [5] and that

might emerge in pyrochlore compounds. Our results point toward 3D topological flat band

materials as an ideal platform to realize and elucidate the interplay of band topology and strong

correlation effects in three dimensional quantum matter.

[1] Huang, J., Setty, C., Deng, L., You, J. Y., Liu, H., Shao, S., ... & Yi, M. (2023). Three-

Dimensional Flat Bands and Dirac Cones in a Pyrochlore Superconductor. arXiv preprint

arXiv:2304.09066.

[2] Huang, J., et al Under Review (2023)

[3] Hu, H., Setty, C., Si, Q., (unpublished).

[4] C. Setty et al., arXiv:2105.15204.

[5] L. Chen et al., arXiv:2307.09431.