Tuning ferromagnetic BaFe${}_2$(PO${}_4$)${}_2$ through a high Chern number topological phase

Abstract

There is strong interest in discovering or designing wide gap Chern insulators. Here we follow a Chern insulator to trivial Mott insulator transition versus interaction strength U in a honeycomb lattice Fe-based transition metal oxide, discovering that a spin-orbit coupling energy scale $\xi$=40 meV can produce and maintain a topologically entangled Chern insulating state against large band structure changes arising from an interaction strength U up to 60 times as large. Within the Chern phase the minimum gap switches from the zone corner K to the zone center $\Gamma$ while maintaining the topological structure. At a critical strength $U_c$, the continuous evolution of the electronic structure encounters a gap closing then reopening, upon which the system reverts to a trivial Mott insulating phase. This Chern insulator phase of honeycomb lattice Fe${}^{2+}$ BaFe${}_2$(PO${}_4$)${}_2$ corresponds to a large Chern number C=-3 that will provide enhanced anomalous Hall conductivity due to the associated three edge states threading through the bulk gap of 80 meV.

arXiv comment8 pages, 7 figures

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• Kagome quantum anomalous Hall effect with high Chern number and large band gap
• Quantum Anomalous Hall Effect in Magnetic Doped Topological Insulators and Ferromagnetic Spin-Gapless Semiconductors -- A Perspective Review
• Realizing Haldane Model in Fe-based Honeycomb Ferromagnetic Insulators
• Field-controlled quantum anomalous Hall effect in electron-doped CrSiTe${}_3$ monolayer: a first-principles prediction
• Remarkable low-energy properties of the pseudogapped semimetal Be${}_5$Pt
• Band crossings in honeycomb-layered transition metal compounds
• Interaction-driven spin-orbit effects and Chern insulating phases in corundum-based $4d$ and $5d$ oxide honeycomb lattices
• Design of Chern Insulating Phases in Honeycomb Lattices