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Geometrical frustration results from the packing of constituents in a lattice, where the constituents have conflicting forces. The phenomenon is known in glass materials, and this work expands the concept of geometrical frustration into the realm of van der Waals two-dimensional materials. Using density functional theory with the r2SCAN + rVV10 exchange–correlation potential, we find a number of two-dimensional heterostructures with alternating strains, where one layer is strained and the adjacent layer is compressed. We adopted three structural stability criteria to find synthesisable candidate materials: phonon dispersion of the individual layers, comparing the thermodynamic stability of this class of materials, frustrated van der Waals heterostructures, with the non-frustrated counterparts, and ab initio molecular dynamics simulations. These criteria were applied to 7 frustrated van der Waals heterostructures, identifying one material that is potentially stable. We discuss possible fabrication pathways for creating this class of materials.

Graphical abstract: Frustrated van der Waals heterostructures

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