LLM Meets Diffusion: A Hybrid Framework for Crystal Material Generation
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Recent advances in generative modeling have shown significant promise in designing novel periodic crystal structures. Existing approaches typically rely on either large language models (LLMs) or equivariant denoising models, each with complementary strengths: LLMs excel at handling discrete atomic types but often struggle with continuous features such as atomic positions and lattice parameters, while denoising models are effective at modeling continuous variables but encounter difficulties in generating accurate atomic compositions. To bridge this gap, we propose CrysLLMGen, a hybrid framework that integrates an LLM with a diffusion model to leverage their complementary strengths for crystal material generation. During sampling, CrysLLMGen first employs a fine-tuned LLM to produce an intermediate representation of atom types, atomic coordinates, and lattice structure. While retaining the predicted atom types, it passes the atomic coordinates and lattice structure to a pre-trained equivariant diffusion model for refinement. Our framework outperforms state-of-the-art generative models across several benchmark tasks and datasets. Specifically, CrysLLMGen not only achieves a balanced performance in terms of structural and compositional validity but also generates more stable and novel materials compared to LLM-based and denoisingbased models Furthermore, CrysLLMGen exhibits strong conditional generation capabilities, effectively producing materials that satisfy user-defined constraints. Code is available at https://github.com/kdmsit/crysllmgen
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 27 of its 60 references that are in the map. First posted on arXiv 27 Oct 2025.
Builds on
27 of 60 references.
Closest ancestors · 6
Same direction, newest first
- 2025All-atom Diffusion Transformers: Unified generative modelling of molecules and materials5 Mar
- 2025Periodic Materials Generation using Text-Guided Joint Diffusion Model1 Mar
- 2024FlowLLM: Flow Matching for Material Generation with Large Language Models as Base Distributions30 Oct
- 2023Crystal Structure Prediction by Joint Equivariant Diffusion30 Jul
- 2022Flow Matching for Generative Modeling6 Oct
- 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep
Other references · 21
- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
- 2020Improved Techniques for Training Score-Based Generative Modelscited by 1,036
- 2022Building Normalizing Flows with Stochastic Interpolantscited by 964
- 2021E(n) Equivariant Graph Neural Networkscited by 951
- 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 268
- 2022Riemannian Score-Based Generative Modellingcited by 216
- 2024FlowMM: Generating Materials with Riemannian Flow Matchingcited by 105
- 2023MatterGen: a generative model for inorganic materials designcited by 98
- 2024Fine-Tuned Language Models Generate Stable Inorganic Materials as Textcited by 92
- 2022Periodic Graph Transformers for Crystal Material Property Predictioncited by 87
- 2024Space Group Constrained Crystal Generationcited by 71
9 more
- 2023Scalable Diffusion for Materials Generationcited by 52
- 2025SymmCD: Symmetry-Preserving Crystal Generation with Diffusion Modelscited by 48
- 2019Data-Driven Approach to Encoding and Decoding 3-D Crystal Structurescited by 34
- 2023Towards Symmetry-Aware Generation of Periodic Materialscited by 25
- 2023CrysMMNet: Multimodal Representation for Crystal Property Predictioncited by 18
- 2025A Periodic Bayesian Flow for Material Generationcited by 15
- 2023CrysGNN : Distilling pre-trained knowledge to enhance property prediction for crystalline materialscited by 14
- 2024MatSciRE: Leveraging Pointer Networks to Automate Entity and Relation Extraction for Material Science Knowledge-base Constructioncited by 11
- 2020MatScIE: An automated tool for the generation of databases of methods and parameters used in the computational materials science literaturecited by 10
Built on by
Citing papers per year: 2025: 1; 2026: 11.
12 papers.
- 2026Crystalite: A Lightweight Transformer for Efficient Crystal Modelingcited by 9
- 2026Open Materials Generation with Inference-Time Reinforcement Learningcited by 6
- 2026Multimodal Crystal Flow: Any-to-Any Modality Generation for Unified Crystal Modelingcited by 4
- 2025Generative Models for Crystalline Materialscited by 3
- 2026CrystalReasoner: Reasoning and RL for Property-Conditioned Crystal Structure Generationcited by 1
- 2026Crys-JEPA: Accelerating Crystal Discovery via Embedding Screening and Generative Refinementcited by 1
- 2026Composable Crystals: Controllable Materials Discovery via Concept Learningcited by 1
- 2026Latent Diffusion Pretraining for Crystal Property Predictioncited by 1
- 2026Inverse Design of Inorganic Compounds with Generative AIcited by 0
- 2026PRISMat: Policy-Driven, Permutation-Invariant Autoregressive Material Generationcited by 0
- 2026Model Agnostic Graph Prompt Learning for Crystal Property Predictioncited by 0
- 2026CrystalGRPO: Target-Aligned and Coverage-Preserving Reinforcement Learning for Flow-Based Crystal Structure Predictioncited by 0
- 2026CrystalGRPO: Target-Aligned and Coverage-Preserving Reinforcement Learning for Flow-Based Crystal Structure Prediction6 Aug 2026
- 2026Model Agnostic Graph Prompt Learning for Crystal Property Prediction9 Jul 2026
- 2026Latent Diffusion Pretraining for Crystal Property Prediction30 May 2026
- 2026PRISMat: Policy-Driven, Permutation-Invariant Autoregressive Material Generation15 May 2026
- 2026Composable Crystals: Controllable Materials Discovery via Concept Learning14 May 2026
- 2026Crys-JEPA: Accelerating Crystal Discovery via Embedding Screening and Generative Refinement14 May 2026
- 2026CrystalReasoner: Reasoning and RL for Property-Conditioned Crystal Structure Generation14 May 2026
- 2026Inverse Design of Inorganic Compounds with Generative AI11 Apr 2026
- 2026Crystalite: A Lightweight Transformer for Efficient Crystal Modeling2 Apr 2026
- 2026Multimodal Crystal Flow: Any-to-Any Modality Generation for Unified Crystal Modeling23 Feb 2026
- 2026Open Materials Generation with Inference-Time Reinforcement Learning31 Jan 2026
- 2025Generative Models for Crystalline Materials27 Nov 2025
Similar, not cited
Close in wording, no citation either way
- 2026Lang2Str: Two-Stage Crystal Structure Generation with LLMs and Continuous Flow Models
- 2026Fourier Transformers for Latent Crystallographic Diffusion and Generative Modeling
- 2024Generative Inverse Design of Crystal Structures via Diffusion Models with Transformers
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- 2024Unleashing the power of novel conditional generative approaches for new materials discovery
- 2026C2NP: A Benchmark for Learning Scale-Dependent Geometric Invariances in 3D Materials Generation
- 2024Generative Design of Crystal Structures by Point Cloud Representations and Diffusion Model
- 2025Enhancing Materials Discovery with Valence Constrained Design in Generative Modeling