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README.md
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---
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license: mit
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language:
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- en
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tags:
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- physics
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- cmt
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pretty_name: CMT Benchmark
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---
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# CMT-Benchmark
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**CMT-Benchmark** is a specialized dataset of 50 original, research-level problems in Condensed Matter Theory (CMT) designed to evaluate the scientific reasoning, analytical, and computational capabilities of Large Language Models (LLMs).
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## Details
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### Authors
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Haining Pan, James V. Roggeveen, Erez Berg, Juan Carrasquilla, Debanjan Chowdhury, Surya Ganguli, Federico Ghimenti, Juraj Hasik, Henry Hunt, Hong-Chen Jiang, Mason Kamb, Ying-Jer Kao, Ehsan Khatami, Michael J. Lawler, Di Luo, Titus Neupert, Xiaoliang Qi, Michael P. Brenner, Eun-Ah Kim
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### Description
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Unlike traditional textbook-based benchmarks, CMT-Benchmark consists of bespoke problems authored by a panel of experts. The problems are designed to test if an AI can function as a scientific research assistant, requiring the synthesis of material knowledge with theoretical principles. The dataset covers seven major computational and theoretical methods including Hartree-Fock, Exact Diagonalization, and Quantum Monte Carlo.
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* **Funded by:** NSF (Awards 2433348, OAC-2118310, DMR-2237522), US-ONR, Swiss National Science Foundation, NTT Research, and the U.S. Department of Energy.
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* **Language:** English.
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### Sources
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* **Dataset:** [Hugging Face Repository](https://huggingface.co/datasets/AnonBenchmark322/benchmark_data).
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* **Evaluation Code:** [Github Repository](https://github.com/JamesRoggeveen/cmt_benchmark_data)
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* **Paper:** [CMT-BENCHMARK: A BENCHMARK FOR CONDENSED MATTER THEORY BUILT BY EXPERT RESEARCHERS](https://arxiv.org/abs/2510.05228).
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## Structure
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The dataset contains 50 problems categorized by theoretical/computational methods:
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* **Exact Diagonalization (ED):** 16% (8 problems).
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* **Statistical Mechanics (SM):** 12% (6 problems).
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* **Quantum Monte Carlo (QMC):** 12% (6 problems).
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* **Hartree-Fock (HF):** 10% (5 problems).
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* **DMRG:** 8% (4 problems).
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* **PEPS:** 6% (3 problems).
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* **Variational Monte Carlo (VMC):** 4% (2 problems).
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* **Other:** 32% (16 problems).
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## Creation
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Problems were authored in a collaborative Google Sheet environment using a custom-built extension. Authors iteratively refined problems to identify gaps in LLM reasoning.
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* **Technical Note on Infrastructure**: The custom Google Sheet integration and the LaTeX-to-Sympy parsing infrastructure used for automated grading are described in further detail in [Roggeveen et al. (2025)](
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https://doi.org/10.48550/arXiv.2505.11774).
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## Model Performance Summary
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The following table summarizes the Overall Pass@1 rates (%) as reported in the paper.
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| Model | Overall |
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| --- | --- |
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| GPT-4o | 2.0 |
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| GPT-4.1 | 4.0 |
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| GPT-5 | 30.0 |
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| GPT-5-mini | 24.0 |
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| GPT-5-nano | 14.0 |
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| GPT-o3 | 26.0 |
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| GPT-o4-mini | 18.0 |
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| Gemini 2.0 Flash | 10.0 |
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| Gemini 2.5 Flash | 4.0 |
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| Gemini 2.5 Pro | 14.0 |
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| Claude 3.7 Sonnet | 6.0 |
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| Claude 4.1 Sonnet | 2.0 |
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| Claude 4.0 Sonnet | 6.0 |
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| Claude 4.1 Opus | 8.0 |
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| Claude 4.0 Opus | 10.0 |
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| DeepSeek v3 | 4.0 |
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| LLaMA Maverick | 12.0 |
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## Citation
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**BibTeX:**
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```bibtex
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@misc{https://doi.org/10.48550/arxiv.2510.05228,
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doi = {10.48550/ARXIV.2510.05228},
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url = {https://arxiv.org/abs/2510.05228},
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author = {Pan, Haining and Roggeveen, James V. and Berg, Erez and Carrasquilla, Juan and Chowdhury, Debanjan and Ganguli, Surya and Ghimenti, Federico and Hasik, Juraj and Hunt, Henry and Jiang, Hong-Chen and Kamb, Mason and Kao, Ying-Jer and Khatami, Ehsan and Lawler, Michael J. and Luo, Di and Neupert, Titus and Qi, Xiaoliang and Brenner, Michael P. and Kim, Eun-Ah},
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keywords = {Machine Learning (cs.LG), Artificial Intelligence (cs.AI), FOS: Computer and information sciences, FOS: Computer and information sciences},
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title = {CMT-Benchmark: A Benchmark for Condensed Matter Theory Built by Expert Researchers},
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publisher = {arXiv},
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year = {2025},
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copyright = {Creative Commons Zero v1.0 Universal}
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}
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```
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