Multiferroicity and Topology in Twisted Transition Metal Dichalcogenides

Abstract

Van der Waals heterostructures have recently emerged as an exciting platform for investigating the effects of strong electronic correlations, including various forms of magnetic or electrical orders. Here, we perform an unbiased exact diagonalization study of the effects of interactions on topological flat bands of twisted transition metal dichalcogenides (TMDs) at odd integer fillings. For hole-filling ${\nu }_h=1$, we find that Chern insulator phases, expected from interaction-induced spin-valley polarization of the bare bands, are quite fragile, and give way to spontaneous multiferroic order -- coexisting ferroelectricity and ferromagnetism, in presence of long-range Coulomb repulsion. We provide a simple real-space picture to understand the phase diagram as a function of interaction range and strength. Our findings establish twisted TMDs as a novel and highly tunable platform for multiferroicity, and we outline a potential route towards electrical control of magnetism in the multiferroic phase.

Published version

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Cited by in corpus (12)

• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene I: Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field
• Bridging the small and large in twisted transition metal dicalcogenide homobilayers: a tight binding model capturing orbital interference and topology across a wide range of twist angles
• Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$
• Electric field control of moiré skyrmion phases in twisted multiferroic NiI${}_2$ bilayers
• Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Designing Topological High-Order Van Hove Singularities: Twisted Bilayer Kagomé
• Non-Abelian Chern band in rhombohedral graphene multilayers
• Spin-orbital magnetism in moiré Wigner molecules
• Orbital Longitudinal Magneto-electric Coupling in Multilayer Graphene
• Onset of spin-valley order and Stoner boundaries in twisted WSe${}_2$
• Stripe antiferromagnetism and chiral superconductivity in tWSe${}_2$