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Theory of Intervalley-Coherent AFM Order and Topological Superconductivity in tWSe2

Ammon Fischer1,2,*, Lennart Klebl3,4, Valentin Crépel5, Siheon Ryee4,6, Angel Rubio2,7, Lede Xian8,9,2, Tim O. Wehling4,6, Antoine Georges10,5,11,12, Dante M. Kennes1,2 et al.

Andrew J. Millis5,13

  • *Contact author: ammon.fischer@rwth-aachen.de
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Phys. Rev. X 15, 041055 – Published 22 December, 2025

DOI: https://doi.org/10.1103/gfzx-rrcr

Abstract

The recent observation of superconductivity in the vicinity of Fermi surface reconstructed insulating or metallic states has established twisted bilayers of WSe2 as an exciting platform to study the interplay of strong electron-electron interactions, broken symmetries, and topology. In this work, we use a first-principles, material-specific theoretical treatment that is unbiased with respect to electronic instabilities to study the emergence of electronic ordering in twisted WSe2 driven by gate-screened Coulomb interactions. We construct exponentially localized moiré Wannier orbitals that faithfully capture the band structure and topology of the system, project the gate-screened Coulomb interaction onto them, and use unbiased functional renormalization group techniques to resolve the momentum and orbital structure of the leading instabilities and the relevant energy scales. We find an interplay between intervalley-coherent antiferromagnetic (IVC-AFM) order and chiral, mixed-parity d/p-wave superconductivity for carrier concentrations near a displacement field and twist-angle-tunable van Hove singularity. Our microscopic approach establishes incommensurate IVC-AFM spin fluctuations as the dominant electronic mechanism driving the formation of superconductivity in θ=5.08° twisted WSe2 and explains key aspects of recent experiments including the asymmetric density dependence of the spin ordering with respect to the van Hove line, the single- and double-peak structure of the DOS in the ordered (hole-doped) IVC-AFM phase, the emergence of superconductivity as the density is varied across the van Hove line, and the evolution of the displacement field-density phase diagram with twist angles between 3.7°…5°. We show that the interplay of electronic correlations and nontrivial quantum geometry in tWSe2 manifests in orbital-selective order parameters associated to the IVC-AFM and SC states that are detectable by local spectroscopy measurements.

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Popular Summary

Understanding the interplay of magnetic order and superconductivity has tantalized condensed-matter physicists for decades; a question that also manifests in high-Tc superconductors. We propose that twisted bilayers of WSe2 offer a unique material platform to study the evolution of antiferromagnetic order and unconventional superconductivity over wide ranges of twist angles in the crossover regime from weak-to-moderate interactions. We have performed a first-principles study on twisted WSe2 using effective moiré Wannier orbitals and advanced functional renormalization group techniques, revealing a complex interplay between intervalley coherent antiferromagnetic order and fluctuation-driven, chiral d/p-wave superconductivity. The superconducting phase appears near a tunable van Hove singularity and changes continuously with the twist angle, unifying observations from previous transport measurements. Our findings offer new avenues to investigate the interplay of magnetic order and superconductivity in moiré materials by controlling parameters including the twist angle, electric field, and electronic density.

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Phys. Rev. X 15, 041055– Published 22 December, 2025
  • Received 3 January 2025
  • Revised 7 September 2025
  • Accepted 14 November 2025
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