Competing superconductivity and valley ferromagnetism tuned by displacement field in Van Hove metals

Competing electronic orders are a hallmark of strongly correlated materials. In twisted bilayer WSe2, experiments have recently revealed a transition between superconductivity and correlated magnetism at van Hove filling, controlled by the displacement field. Here, we provide a theoretical framework for such a transition in two-dimensional hexagonal systems with spin-orbit coupling and van Hove singularities (VHS) at the Fermi level. Using a minimal model, we show that the displacement field tunes the effective interactions and drives a Stoner-like transition. A renormalization group analysis predicts that chiral d/p-wave superconductivity dominates at weak fields (D < Dc), while a valley ferromagnetic phase with spatially modulated magnetization at stronger fields (D > Dc). We discuss other tuning knobs—such as twist angle across a broader family of van der Waals materials. Our results highlight a general theoretical framework for superconductivity-ferromagnetism competition in correlated Van Hove metals and outline experimental probes to test these predictions in twisted bilayer WSe2 and beyond. The authors develop a beyond-mean-field theoretical framework to predict displacement-field-driven phase transitions in two-dimensional Van Hove Metals. For spin-orbit-coupled hexagonal systems, it predicts a generic transition from chiral superconductivity to valley ferromagnetism, experimentally falsifiable in twisted bilayer WSe2.