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CMPhysBench: A Benchmark for Evaluating Large Language Models in Condensed Matter Physics

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arxiv 2508.18124 v3 pith:EX3ZIJAH submitted 2025-08-25 cs.LG cs.AI

CMPhysBench: A Benchmark for Evaluating Large Language Models in Condensed Matter Physics

classification cs.LG cs.AI
keywords cmphysbenchphysicscondensedmattermodelsbenchmarkintroducelanguage
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce CMPhysBench, designed to assess the proficiency of Large Language Models (LLMs) in Condensed Matter Physics, as a novel Benchmark. CMPhysBench is composed of more than 520 graduate-level meticulously curated questions covering both representative subfields and foundational theoretical frameworks of condensed matter physics, such as magnetism, superconductivity, strongly correlated systems, etc. To ensure a deep understanding of the problem-solving process,we focus exclusively on calculation problems, requiring LLMs to independently generate comprehensive solutions. Meanwhile, leveraging tree-based representations of expressions, we introduce the Scalable Expression Edit Distance (SEED) score, which provides fine-grained (non-binary) partial credit and yields a more accurate assessment of similarity between prediction and ground-truth. Our results show that even the best models, Grok-4, reach only 36 average SEED score and 28% accuracy on CMPhysBench, underscoring a significant capability gap, especially for this practical and frontier domain relative to traditional physics. The code anddataset are publicly available at https://github.com/CMPhysBench/CMPhysBench.

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