Theory for charge density wave and orbital-flux state in antiferromagnetic kagome metal FeGe

In this work, we theoretically study the charge order and orbital magnetic properties of a new type of antiferromagnetic kagome metal FeGe. Based on first principles density functional theory (DFT) calculations, we have studied the electronic structures, Fermi-surface quantum fluctuations, as well as phonon properties of the antiferromagnetic kagome metal FeGe. We find that charge density wave emerges in such a system due to a subtle cooperation between electron-electron ($e$-$e$) interactions and electron-phonon couplings, which gives rise to an unusual scenario of interaction-triggered phonon instabilities, and eventually yields a charge density wave (CDW) state. We further show that, in the CDW phase, the ground-state current density distribution exhibits an intriguing star-of-David pattern, leading to flux density modulation. The orbital fluxes (or current loops) in this system emerges as a result of the subtle interplay between magnetism, lattice geometries, charge order, and spin-orbit coupling (SOC), which can be described by a simple, yet universal, tight-binding theory including a Kane-Mele type SOC term and a magnetic exchange interaction. We further study the origin of the peculiar step-edge states in FeGe, which shed light on the topological properties and correlation effects in this new type of kagome antiferromagnetic material.