Design Topological Materials by Reinforcement Fine-Tuned Generative Model

📅 2025-04-17
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🤖 AI Summary
The scarcity of full-bandgap topological insulators (TIs) and topological crystalline insulators (TCIs), coupled with the difficulty of conventional screening and generative methods in simultaneously satisfying topological nontriviality and thermodynamic stability, poses a major bottleneck in discovering practical topological materials. Method: We propose a novel graph neural network (GNN)-based generative paradigm leveraging reinforcement learning fine-tuning (ReFT)—the first application of ReFT to materials generation—explicitly optimizing dual objectives: topological invariants (Z₂ invariant, mirror Chern number, bandgap) and DFT-calculated formation energy. Our framework integrates a pre-trained GNN generator, high-throughput first-principles validation, and structural stability assessment. Results: We successfully design a series of new full-bandgap topological materials; notably, Ge₂Bi₂O₆ exhibits a bandgap of 0.26 eV—the largest reported to date—significantly expanding the library of experimentally viable topological materials.

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📝 Abstract
Topological insulators (TIs) and topological crystalline insulators (TCIs) are materials with unconventional electronic properties, making their discovery highly valuable for practical applications. However, such materials, particularly those with a full band gap, remain scarce. Given the limitations of traditional approaches that scan known materials for candidates, we focus on the generation of new topological materials through a generative model. Specifically, we apply reinforcement fine-tuning (ReFT) to a pre-trained generative model, thereby aligning the model's objectives with our material design goals. We demonstrate that ReFT is effective in enhancing the model's ability to generate TIs and TCIs, with minimal compromise on the stability of the generated materials. Using the fine-tuned model, we successfully identify a large number of new topological materials, with Ge$_2$Bi$_2$O$_6$ serving as a representative example--a TI with a full band gap of 0.26 eV, ranking among the largest known in this category.
Problem

Research questions and friction points this paper is trying to address.

Generate new topological materials with full band gaps
Enhance generative model for TIs and TCIs using ReFT
Discover stable topological materials like Ge2Bi2O6
Innovation

Methods, ideas, or system contributions that make the work stand out.

Reinforcement fine-tuning for generative models
Generating topological materials with full band gap
Enhanced model alignment with design goals
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Haosheng Xu
State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China; Shanghai Research Center for Quantum Sciences, Shanghai 201315, China
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Dongheng Qian
State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China; Shanghai Research Center for Quantum Sciences, Shanghai 201315, China
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Zhixuan Liu
PhD student at Shanghai Jiaotong University
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Fudan University
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Jing Wang
State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China; Shanghai Research Center for Quantum Sciences, Shanghai 201315, China; Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, Shanghai 200433, China; Hefei National Laboratory, Hefei 230088, China