From frustrated magnetism to spontaneous Chern insulators

Abstract

We study the behaviour of electrons interacting with a classical magnetic background via a strong Hund coupling. The magnetic background results from a Hamiltonian which favours at low temperature the emergence of a phase with non-zero scalar chirality. The strong Hund's coupling combined with the total chirality of the classical spins induces in the electrons an effective flux which results in the realisation of a band structure with non zero Chern number. First, we consider as a magnetic background a classical spin system with spontaneous net chirality. We study the Density of States (DoS) and Hall conductance in order to analyse the topological transitions, as a function of the Fermi energy and the temperature of the classical spins. We also study a similar model in which the Chern number of the filled bands can be "tuned" with the external magnetic field, resulting in a topological insulator in which the direction of the chiral edge mode can be reverted by reversing the orientantion of the magnetic field applied to the classical magnetic system.

arXiv comment5 pages, 5 figures. Accepted for publication in Physical Review B

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Cited by in corpus (13)

• Topological Phases in Magnonics
• Quantum Anomalous Hall Effect in Magnetic Doped Topological Insulators and Ferromagnetic Spin-Gapless Semiconductors -- A Perspective Review
• Magnetic Topological Kagome Systems
• Topological phase transition driven by magnetic field and topological Hall effect in an antiferromagnetic skyrmion lattice
• Colossal enhancement of spin-chirality-related Hall effect by thermal fluctuation
• Topological Green function of interacting systems
• Chiral phase transition and thermal Hall effect in an anisotropic spin model on the kagome lattice
• From chiral spin liquids to skyrmion fluids and crystals, and their interplay with itinerant electrons
• Higher-dimensional Hofstadter butterfly on Penrose lattice
• Tunable skyrmion crystals and topological quantum oscillations in magnetic metals
• Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary
• Topological Hall effect in the Shastry-Sutherland lattice
• Skyrmion-skyrmion interaction induced by itinerant electrons in a ferromagnetic strip