- Letter
Emergent interacting phases in the strong-coupling limit of twisted -valley moiré systems: Application to
Phys. Rev. B 114, L051113 – Published 31 July, 2026
DOI: https://doi.org/10.1103/htld-vgws
Abstract
We establish twisted as a tunable platform for simulating dimension-dependent correlated physics, distinct from conventional K-valley moiré systems. By constructing interacting Wannier models, we show that the stacking configuration dictates the effective lattice geometry. In AA-stacked bilayers, a momentum-space nonsymmorphic symmetry constrains the single-particle hopping within each valley to be effectively one-dimensional while still allowing fully two-dimensional interactions, thereby giving rise to an effective quasi-one-dimensional system. This dimensional reduction stabilizes exotic phases including dimerized states with finite residual entropy, valence bond solids, and quantum paramagnetism. Conversely, AB stacking maps to a frustrated Kagome lattice; here, strong interactions drive the emergence of a classical spin liquid. The high tunability of this moiré system, which allows control over both the filling and interaction strength (via twist angle), renders twisted a versatile platform for realizing a wide range of exotic correlated quantum phases.