Quantum magnetism of iron-based ladders: Blocks, spirals, and spin flux

Abstract

Motivated by increasing experimental evidence of exotic magnetism in low-dimensional iron-based materials, we present a comprehensive theoretical analysis of magnetic states of the multiorbital Hubbard ladder in the orbital-selective Mott phase (OSMP). The model we used is relevant for iron-based compounds of the AFe${}_2$X${}_3$ family (where A$=$Cs, Rb, Ba, K are alkali metals and X$=$S, Se are chalcogenides). To reduce computational effort, and obtain almost exact numerical results in the ladder geometry, we utilize a low-energy description of the Hubbard model in the OSMP - the generalized Kondo-Heisenberg Hamiltonian. Our main result is the doping vs interaction magnetic phase diagram. We reproduce the experimental findings on the AFe${}_2$X${}_3$ materials, especially the exotic block magnetism of BaFe${}_2$Se${}_3$ (antiferromagnetically coupled $2\times 2$ ferromagnetic islands of the $\uparrow \uparrow \downarrow \downarrow$ form). As in recent studies of the chain geometry, we also unveil block magnetism beyond the $2\times 2$ pattern (with block sizes varying as a function of the electron doping) and also an interaction-induced frustrated block-spiral state (a spiral order of rigidly rotating ferromagnetic islands). Moreover, we predict new phases beyond the one-dimensional system: a robust regime of phase separation close to half-filling, incommensurate antiferromagnetism for weak interaction, and a quantum spin-flux phase of staggered plaquette spin currents at intermediate doping. Finally, exploiting the bonding/antibonding band occupations, we provide an intuitive physical picture giving insight into the structure of the phase diagram.

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Cited by in corpus (11)

• Prediction of orbital selective Mott phases and block magnetic states in the quasi-one-dimensional iron chain Ce${}_2$O${}_2$FeSe${}_2$ under hole and electron doping
• Range of biquadratic and triquadratic Heisenberg effective couplings deduced from multiorbital Hubbard models
• Stability of the novel interorbital-hopping mechanism for ferromagnetism in multi-orbital Hubbard models
• Magnetization dynamics fingerprints of an excitonic condensate $t_{2g}^4$ magnet
• Hund bands in spectra of multiorbital systems
• Simultaneous fermion and exciton condensations from a model Hamiltonian
• Electronic structure, magnetic properties and pairing tendencies of the copper-based honeycomb lattice Na${}_2$Cu${}_2$TeO${}_6$
• Charge Singlets and Orbital-Selective Charge Density Wave Transitions
• Excitonic wave-packet evolution in a two-orbital Hubbard model chain: A real-time real-space study
• Spin loop-current textures in Hubbard models
• Magnon damping and mode softening in quantum double-exchange ferromagnets