Wyckoff Transformer: Generation of Symmetric Crystals

• URL: http://arxiv.org/abs/2503.02407v2
• Date: Fri, 07 Mar 2025 07:46:34 GMT
• Title: Wyckoff Transformer: Generation of Symmetric Crystals
• Authors: Nikita Kazeev, Wei Nong, Ignat Romanov, Ruiming Zhu, Andrey Ustyuzhanin, Shuya Yamazaki, Kedar Hippalgaonkar,
• Abstract summary: Internal symmetry plays a fundamental role in determining physical, chemical, and electronic properties.<n>We propose WyFormer, a generative model for materials conditioned on space group symmetry.
• Score: 0.5968063252533801
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Symmetry rules that atoms obey when they bond together to form an ordered crystal play a fundamental role in determining their physical, chemical, and electronic properties such as electrical and thermal conductivity, optical and polarization behavior, and mechanical strength. Almost all known crystalline materials have internal symmetry. Consistently generating stable crystal structures is still an open challenge, specifically because such symmetry rules are not accounted for. To address this issue, we propose WyFormer, a generative model for materials conditioned on space group symmetry. We use Wyckoff positions as the basis for an elegant, compressed, and discrete structure representation. To model the distribution, we develop a permutation-invariant autoregressive model based on the Transformer and an absence of positional encoding. WyFormer has a unique and powerful synergy of attributes, proven by extensive experimentation: best-in-class symmetry-conditioned generation, physics-motivated inductive bias, competitive stability of the generated structures, competitive material property prediction quality, and unparalleled inference speed.

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