Exfoliation and cleavage create two-dimensional (2D) materials and surfaces with physical and chemical properties distinct from their bulk parents. The rising class of non-van der Waals (non-vdW) 2D materials derived from non-layered crystals provides a fascinating new platform - greatly expanding the landscape of low-dimensional materials. Current computational models, however, provide limited guidance: existing descriptors are largely tailored to vdW layered systems. Here, we introduce a general framework predicting crystal cleavage and exfoliable 2D subunits directly from bulk structures. At its core is a universal eXfoliation and Cleavage Potential (XCP) enabling large-scale screening of diverse materials at negligible computational cost. Applying this approach, we obtain 37,208 cleavable surfaces and candidate non-vdW 2D materials from which we investigate 2,377 likely exfoliable ones using high-throughput density functional theory. We identify sheets with square and rectangular lattices, semiconducting systems exhibiting an indirect-to-direct band-gap transition upon exfoliation, and first non-vdW 2D metals. Our study thus opens a systematic route to explore and design new 2D materials with unprecedented chemical and structural diversity.
@article{arxiv.2512.16721,
title = {Exfoliation and Cleavage of Crystals from a Universal Potential},
author = {Tom Barnowsky and Carsten Timm and Rico Friedrich},
journal= {arXiv preprint arXiv:2512.16721},
year = {2025}
}