Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$

Abstract

Recent experimental reports of correlated physics in twisted homobilayer WSe${}_2$ have spurred interest in the interplay of electronic interactions and topology in this system. Here, we explore its phase diagram using the Hartree-Fock approximation within a three-orbital Wannier model of the bilayer. Our analysis reveals a dominant intervalley-coherent antiferromagnetic instability, whose stability in the space of twist angle, interaction strength, out-of-plane displacement field, and hole density is primarily set by nesting and commensurability. At large angles or low interaction-to-bandwidth ratios, the instability arises at hole densities above half filling near a van-Hove line where the strong Fermi surface nesting occurs due to the flatness of the band in a region enclosing the van-Hove and $\kappa$ points. Increasing interaction strength or decreasing the twist angle gradually shifts the ordered phase toward half filling, where the strongest antiferromagnetic order gets pinned due to commensurability effects that enable a full gap opening. The antiferromagnetic order parameter strongly couples to the layer polarization, which makes its transition to the normal state sharp in the strong-coupling limit and carries implications for collective modes. Our Hartree-Fock phase diagram reproduces key aspects of recent experiments and the reconstructed Fermi surfaces and DOS in the antiferromagnetic phase account for subtle transport signatures observed in these studies.

11+15 pages, 7+14 figures

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Cited by in corpus (12)

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• Topological Chiral Superconductivity Mediated by Intervalley Antiferromagnetic Fluctuations in Twisted Bilayer WSe${}_2$
• Angle evolution of the superconducting phase diagram in twisted bilayer WSe2
• Quantum-geometric dipole: a topological boost to flavor ferromagnetism in flat bands
• Dirac quantum criticality in twisted double bilayer transition metal dichalcogenides
• Candidate for a Fractional Topological Insulator in Twisted MoTe2
• Site-polarized Mott phases competing with a correlated metal in twisted WSe${}_2$
• Probing Quantum Anomalous Hall States in Twisted Bilayer WSe2 via Attractive Polaron Spectroscopy
• Stripe antiferromagnetism and chiral superconductivity in tWSe${}_2$
• Surface acoustic wave-driven valley current generation in intervalley coherent states
• Onset of spin-valley order and Stoner boundaries in twisted WSe${}_2$
• Efficient prediction of topological superlattice bands with spin-orbit coupling