Structure-property relationships of the multi-orbital honeycomb lattice

The honeycomb lattice has long been a powerful toy model for analyzing the relationship between lattice geometry and topological phases of matter, as has been extensively studied in the form of graphene [1]. Unlike the prototypical carbon-based compound, heavier honeycomb analogs have recently emerged as a promising platform for accessing topological physics at elevated temperature scales stemming from their multi-orbital character. Here we will describe the structure-property relationships inherent in p_x/p_y honeycomb materials, emphasizing the interplay between the lattice and quantum geometries. We will also discuss recent progress in realizing material structures that may enable the study of these exotic systems.



[1] Haldane, F. D. M. Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the “Parity Anomaly.” Phys Rev Lett 61, 2015–2018 (1988)